Knowledge Base of
Publications,
Seminars,
& Math Library
PhD theses from the project are accessible at the NCSTRL web site.
List by Author
1030 results
Aagaard, Mark
Non-Restoring Integer Square Root: A Case Study in Design by Principled Optimization
| cite »
by John O'Leary, Miriam Leeser, Jason Hickey, Mark Aagaard
1994
Verifying a Pipelined Circuit
by Mark Aagaard
April 05, 1994
Verifying a Logic Synthesis Tool in Nuprl: A Case Study in Software Verification
| cite »
by Mark Aagaard, Miriam Leeser
1993
Using Reflection to External Automated Theorem Provers
by Mark Aagaard
March 30, 1993
HOL Workshop
by Mark Aagaard
September 15, 1992
Aitken, William
Metalogical Frameworks II: Developing a Reflected Decision Procedure
| cite »
by William Aitken, Robert L. Constable, Judith Underwood
1999
Reflection
by William Aitken
April 06, 1993
Reflection 2
by William Aitken, William Aitken
March 05, 1992
Reflection 2
by William Aitken, William Aitken
March 05, 1992
Reflection 2
by William Aitken, William Aitken
February 18, 1992
Reflection 2
by William Aitken, William Aitken
February 18, 1992
A Basis for Constructive, Reflexive Type Theory
by William Aitken
October 01, 1990
The Semantics of Reflected Proof
| cite »
by Stuart F. Allen, Robert L. Constable, Douglas J. Howe, William Aitken
1990
Allen, Stuart F.
Innovations in Computational Type Theory using Nuprl
| cite »
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo, Evan Moran
2006
Enabling Large Scale Coherency Among Mathematical Texts
| cite »
by Stuart F. Allen, Robert L. Constable
2006
Using Formal Reference to Enhance Authority and Integrity in Online Mathematical Texts
| cite »
by Stuart F. Allen, Robert L. Constable, Lori Lorigo
2006
An Abstract Semantics for Atoms in Nuprl
| cite »
by Stuart F. Allen
2006
A Semantics for Abstract Atoms in Nuprl
by Stuart F. Allen
March 31, 2006
Anchoring Expository Text in Formal Mathematics -- Part II
by Stuart F. Allen
April 15, 2005
Anchoring Expository Text in Formal Mathematics
by Stuart F. Allen
December 06, 2004
Expressing and Implementing the Computational Content Implicit in Smullyan's Account of Boolean Valuations
| cite »
by Stuart F. Allen, Robert L. Constable, Matthew Fluet
2004
Square Root of 2 is Irrational
by Stuart F. Allen
August 04, 2004
Fundamental Theorem of Arithmetic
by Stuart F. Allen
August 02, 2004
Iterated Binary Operations
by Stuart F. Allen
August 02, 2004
Russel's Paradox
by Stuart F. Allen
December 14, 2004
How to browse the library
by Stuart F. Allen
December 14, 2004
Abstract Identifiers, Intertextual Reference and a Computational Basis for Recordkeeping
| cite »
by Stuart F. Allen
2004
Towers of Hanoi
by Stuart F. Allen
April 27, 2004
Readability Exercise (num theory)
by Stuart F. Allen
December 14, 2004
Discrete Math Materials
by Stuart F. Allen
August 02, 2004
Type Theory as a Legacy from Logicism
by Stuart F. Allen
March 08, 2004
Applied Logic as Part of an Effort to Accumulate Precise Knowledge
by Stuart F. Allen
February 09, 2004
Remarks on the FDL (Formal Digital Library) Project -- Continuation of talk begun November 17
by Stuart F. Allen
December 01, 2003
Remarks on the FDL (Formal Digital Library) Project
by Stuart F. Allen
November 17, 2003
Nuprl Basics
by Stuart F. Allen
September 18, 2003
Standard Resources
by Stuart F. Allen
September 23, 2003
Elementary Number Theory
by Stuart F. Allen
September 23, 2003
Practical Reflection in Nuprl
| cite »
by Eli Barzilay, Stuart F. Allen, Robert L. Constable
2003
Nuprl Editor and Interface
by Stuart F. Allen
September 23, 2003
Abstract Identifiers and Textual Reference
| cite »
by Stuart F. Allen
2002
Reflecting Higher-Order Abstract Syntax in Nuprl
| cite »
by Eli Barzilay, Stuart F. Allen
2002
FDL: A Prototype Formal Digital Library
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo
2002
Report on the Design of the Formal Digital Library
by Richard Eaton, Robert L. Constable, Stuart F. Allen
April 08, 2002
Explaining the Formal Digital Library
by Stuart F. Allen, Robert L. Constable, Richard Eaton
March 11, 2002
Progress on the ONR University Research Initiative in Digital Libraries for Computational Mathematics
by Stuart F. Allen, Robert L. Constable
December 03, 2001
Logical Aspects of Digital Mathematics Libraries (extended abstract)
| cite »
by Stuart F. Allen, James L. Caldwell, Robert L. Constable
2001
Lists
by Stuart F. Allen
May 15, 2001
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 04, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 11, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 18, 2000
The Nuprl Open Logical Environment
| cite »
by Stuart F. Allen, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo
2000
Semantics and Pragmatics of Reflected Proof
by Stuart F. Allen, Sergei Artemov, Robert L. Constable
December 01, 1998
Some Uses of the Intersection Type
by Stuart F. Allen, Robert L. Constable
May 03, 1999
Using Nuprl as a Formal Assistant for Preparing Largely Informal Material
by Stuart F. Allen
March 29, 1999
Reflection Mechanisms in Nuprl
by Stuart F. Allen, Robert L. Constable
November 10, 1998
From dy/dx to []P: A Matter of Notation
| cite »
by Stuart F. Allen
1998
Application of Notational Methods in dy/dx
by Stuart F. Allen
March 31, 1998
Abstract Identifiers in Nuprl 5 (continued)
by Stuart F. Allen
October 28, 1997
Abstract Identifiers in Nuprl 5
by Stuart F. Allen
October 21, 1997
Discussion of Issues in Logic Library Design
by Robert L. Constable, Jason Hickey, Stuart F. Allen, Richard Eaton
March 03, 1997
Designing a Logical Library
by Stuart F. Allen
February 24, 1997
New Nuprl Editor
by Stuart F. Allen
November 07, 1995
Overview of Nuprl 5
by Stuart F. Allen
September 19, 1995
Imperative Program Semantics
by Stuart F. Allen
May 02, 1995
The "Interface" Version of Nuprl
by Stuart F. Allen, Richard Eaton
November 15, 1994
Reasoning about Scientific Programs
by Conal Mannion, Stuart F. Allen
1993-1994
Polya/Nuprl
by Stuart F. Allen
1993-1994
Editing
by Stuart F. Allen
November 16, 1993
Attaching Context to Objects in the Library
by Stuart F. Allen
February 04, 1992
PRL Library Day
by Stuart F. Allen
November 19, 1991
The Semantics of Reflected Proof
| cite »
by Stuart F. Allen, Robert L. Constable, Douglas J. Howe, William Aitken
1990
Reflecting the Open-Ended Computation System of Constructive Type Theory
| cite »
by Robert L. Constable, Stuart F. Allen, Douglas J. Howe
1990
Continuation of A Type Theoretic Interpretation of DougHowe's Squiggle Relation
by Stuart F. Allen
April 26, 1988
A Type Theoretic Interpretation of Doug Howe's Squiggle Relation
by Stuart F. Allen
April 19, 1988
A Non-Type-Theoretic Definition of Martin-Lof's Types
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by Stuart F. Allen
1987
A Non-Type-Theoretic Semantics for Type-Theoretic Language
| cite »
by Stuart F. Allen
1987
Implementing Mathematics with the Nuprl Development System
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by Robert L. Constable, Stuart F. Allen, H. M. Bromley, Walter Rance Cleaveland, J. F. Cremer, Robert W. Harper, Douglas J. Howe, Todd B. Knoblock, Nax P. Mendler, Prakash Panangaden, James T. Sasaki, Scott F. Smith
1986
Prolog
by Ryan Stansifer, Stuart F. Allen
1984-1985
Predicate Calculus Model
by Stuart F. Allen
1984-1985
Anand, Abhishek
Topics in Type Theory
by Abhishek Anand, Robert L. Constable, Mark Bickford
October 22, 2014
Coinduction in Coq
by Abhishek Anand
November 12, 2014
From Replicated Databases to Ensembles of Collaborating Robots
by Abhishek Anand, Mark Bickford
November 19, 2014
A Type Theory with Partial Equivalence Relations as Types
by Abhishek Anand, Mark Bickford, Robert L. Constable, Vincent Rahli
May 12, 2014
Towards a Formally Verified Proof Assistant
by Abhishek Anand, Vincent Rahli
July 14, 2014
A Generic Approach to Proofs about Substitution
by Abhishek Anand, Vincent Rahli
July 17, 2014
Formal Program Optimization in Nuprl Using Computational Equivalence and Partial Types
| cite »
by Vincent Rahli, Mark Bickford, Abhishek Anand
April 22, 2013
The Beauty of Nuprl's Uniform Term Representation and How to Reason about those Terms in Coq
by Abhishek Anand
October 09, 2013
A verified proof assistant
by Vincent Rahli, Abhishek Anand
October 30, 2013
How far can we go with Induction-Recursion?
by Abhishek Anand, Vincent Rahli
November 20, 2013
The Type Base and Undecidability in Type Theory
by Abhishek Anand
September 21, 2012
Bar Induction and the Fan Theorem in Constructive Type Theory
by Robert L. Constable, Mark Bickford, Abhishek Anand
October 12, 2012
Artemov, Sergei
Reflected Lambda Calculus
by Sergei Artemov
October 02, 2000
Stability of intuitionistic systems
by Sergei Artemov
April 24, 2000
Semantics and Pragmatics of Reflected Proof
by Stuart F. Allen, Sergei Artemov, Robert L. Constable
December 01, 1998
On the Reflection Mechanism in Nuprl
by Sergei Artemov
November 24, 1998
Proof Polynomials: Cut Elimination
by Sergei Artemov
October 07, 1997
Operational Modal Logic
by Sergei Artemov
January 29, 1996
Aydemir, Brian
MetaPRL -- A Modular Logical Environment
| cite »
by Jason Hickey, Aleksey Nogin, Robert L. Constable, Brian Aydemir, Eli Barzilay, Lori Lorigo
2003
Barzilay, Eli
Implementing Reflection in Nuprl
| cite »
by Eli Barzilay
2006
Practical Reflection in Nuprl
| cite »
by Eli Barzilay, Stuart F. Allen, Robert L. Constable
2003
MetaPRL -- A Modular Logical Environment
| cite »
by Jason Hickey, Aleksey Nogin, Robert L. Constable, Brian Aydemir, Eli Barzilay, Lori Lorigo
2003
Reflecting Higher-Order Abstract Syntax in Nuprl
| cite »
by Eli Barzilay, Stuart F. Allen
2002
Quotation and Reflection in Nuprl and Scheme
| cite »
by Eli Barzilay
2001
Reflection in First-Order Logic
by Eli Barzilay
February 12, 2001
Latest results about reflection (TENTATIVE)
by Eli Barzilay
November 20, 2000
Reflection Part II
by Eli Barzilay
April 03, 2000
Analysis of reflection in programming languages using Scheme as the main example
by Eli Barzilay
March 06, 2000
Practical Uses of Quotations, Macros and Reflection
by Eli Barzilay
April 05, 1999
Barzilay, Regina
HOAS -- Higher Order Abstract Syntax: a Survey
by Regina Barzilay
October 21, 2002
Online Demonstration of Syntactic Reflection. Realizing an Argument about Syntax (Tarski).
by Regina Barzilay
March 03, 2003
The Abstract Term Type
by Regina Barzilay
March 04, 2002
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 04, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 11, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 18, 2000
Verbalization of High-Level Formal Proofs
| cite »
by Amanda Holland-Minkley, Regina Barzilay, Robert L. Constable
1999
Basin, David A.
TBA
by David A. Basin, David McAllister, Wilfred Z. Chen
May 04, 1993
Extracting Circuits from Constructive Proofs
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by David A. Basin
1991
Formally Verified Synthesis of Combinational Circuits
| cite »
by David A. Basin, Geoffrey Brown, Miriam Leeser
1991
Metalogical Frameworks
| cite »
by David A. Basin, Robert L. Constable
1991
Some Normalization Properties of Martin-Lof's Type Theory and Applications
| cite »
by David A. Basin, Douglas J. Howe
1991
Building Problem Solving Environments in Constructive Type Theory
| cite »
by David A. Basin
1990
Building Theories in Nuprl
| cite »
by David A. Basin
1989
Verification of Combinational Logic in Nuprl
| cite »
by David A. Basin, Peter Del Vecchio
1989
An Environment for Automated Reasoning About Partial Functions
| cite »
by David A. Basin
1988
TBA
by David A. Basin, David McAllister, Wilfred Z. Chen
April 08, 1988
TBA
by David A. Basin, David McAllister, Wilfred Z. Chen
October 13, 1987
The Expressiveness of lambda Y
by David A. Basin
April 09, 1987
Bates, Joseph L.
Proofs as Programs
| cite »
by Joseph L. Bates, Robert L. Constable
1985
Writing Programs That Construct Proofs
| cite »
by Robert L. Constable, Todd B. Knoblock, Joseph L. Bates
1984
A Logic for Correct Program Development
| cite »
by Joseph L. Bates
1981
Beck, John
Category Theory as Basis for Mathematics
by John Beck
December 02, 1986
Benzinger, Ralph
Automated Complexity Analysis of Nuprl Extracted Programs
| cite »
by Ralph Benzinger
2001
Automated Computational Complexity Analysis
| cite »
by Ralph Benzinger
2001
Automated Higher-Order Complexity Analysis
by Ralph Benzinger
February 05, 2001
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 04, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 11, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 18, 2000
Automatic Complexity Analysis Revisited
by Ralph Benzinger
January 31, 2000
Automated Complexity Analysis
by Ralph Benzinger
September 15, 1998
Berger, Ulrich
Logic, Construction, Computation
| cite »
by Ulrich Berger
July 29, 2012
Bertot, Yves
Mechanizing the Proof of Correction of a Compiler Using Type Theory
by Yves Bertot
November 17, 1998
Bickford, Mark
Cubical type theory with several universes in Nuprl
by Mark Bickford
May 20, 2020
Formalization of Cubical Type Theory in Nuprl
by Mark Bickford
January 15, 2020
DRAFT: Brouwer's Fixedpoint Theorem in Intuitionistic Mathematics
by Mark Bickford
February 18, 2020
Open Bar -- A Reconciliation between Intuitionistic and Classical Logic
by Vincent Rahli, Mark Bickford, Robert L. Constable, Liron Cohen
2020
An Intuitionistic Formalization of The Elements of Euclid Book I
by Ariel Kellison, Mark Bickford
November 26, 2019
Bar Induction is Compatible with Constructive Type Theory
| cite »
by Vincent Rahli, Liron Cohen, Mark Bickford, Robert L. Constable
2019
Formalizing Category Theory and Presheaf Models of Type Theory in Nuprl
| cite »
by Mark Bickford
2018
Validating Brouwer’s Continuity Principle for Numbers Using Named Exceptions
| cite »
by Vincent Rahli, Mark Bickford
January 02, 2018
Connectedness of the Continuum in Intuitionistic Mathematics
| cite »
by Mark Bickford
2018
Computability Beyond Church-Turing using Choice Sequences
| cite »
by Liron Cohen, Vincent Rahli, Mark Bickford, Robert L. Constable
2018
Implementing Euclid's Straightedge and Compass Constructions in Type Theory
| cite »
by Ariel Kellison, Mark Bickford, Robert L. Constable
2018
A Verified Theorem Prover Backend Supported by a Monotonic Library
| cite »
by Vincent Rahli, Liron Cohen, Mark Bickford
November 01, 2018
Bar Induction: The Good, the Bad, and the Ugly
| cite »
by Vincent Rahli, Mark Bickford, Robert L. Constable
April 11, 2017
EventML: Specification, verification, and implementation of crash-tolerant state machine replication systems
| cite »
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
November 15, 2017
Constructive Analysis and Experimental Mathematics using the Nuprl Proof Assistant
by Mark Bickford
March 02, 2016
A Nominal Exploration of Intuitionism
by Vincent Rahli, Mark Bickford
January 18, 2016
Formal Specification, Verification, and Implementation of Fault-Tolerant Systems using EventML
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
September 01, 2015
Coq as a Metatheory for Nuprl with Bar Induction
by Vincent Rahli, Mark Bickford
September 14, 2015
Nuprl’s Inductive Logical Forms
by Mark Bickford, Robert L. Constable, Richard Eaton, Vincent Rahli
September 01, 2015
Intuitionistic Completeness of First-Order Logic
| cite »
by Robert L. Constable, Mark Bickford
January 01, 2014
Inductive Construction in Nuprl Type Theory Using Bar Induction
by Mark Bickford, Robert L. Constable
May 12, 2014
A Fast Algorithm for the Integer Square Root
by Anne Trostle, Mark Bickford
June 09, 2014
Synthesizing Protocols using the Logic of Events and EventML
by Robert L. Constable, Mark Bickford
September 17, 2014
Topics in Type Theory
by Abhishek Anand, Robert L. Constable, Mark Bickford
October 22, 2014
Nominal Type Theory
by Mark Bickford, Vincent Rahli
October 29, 2014
From Replicated Databases to Ensembles of Collaborating Robots
by Abhishek Anand, Mark Bickford
November 19, 2014
Developing Correctly Replicated Databases Using Formal Tools
by Nicolas Schiper, Vincent Rahli, Robbert van Renesse, Mark Bickford, Robert L. Constable
June 23, 2014
A Type Theory with Partial Equivalence Relations as Types
by Abhishek Anand, Mark Bickford, Robert L. Constable, Vincent Rahli
May 12, 2014
Formalizing Bishop's Constructive Analysis in Constructive Type Theory
by Mark Bickford, Robert L. Constable
April 10, 2014
There Are No Discontinuous Real Functions
by Mark Bickford, Vincent Rahli
October 08, 2014
Synthetic Topology in NuPRL
by Francisco Mota, Mark Bickford
December 03, 2014
Formal Program Optimization in Nuprl Using Computational Equivalence and Partial Types
| cite »
by Vincent Rahli, Mark Bickford, Abhishek Anand
April 22, 2013
Formal Specification, Verification, and Implementation of Fault-Tolerant Systems
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
March 31, 2013
The power of bar induction in constructive type theory
by Mark Bickford
September 25, 2013
Quotient Types in Nuprl
by Mark Bickford
November 13, 2013
The Logic of Events, a framework to reason about distributed systems
| cite »
by Mark Bickford, Vincent Rahli, Robert L. Constable
2012
Introduction to EventML
by Mark Bickford, Robert L. Constable, Richard Eaton, David Guaspari
February 03, 2012
Formalizing Moessner's Theorem in Nuprl
by Mark Bickford, Dexter Kozen, Alexandra Silva
June 08, 2012
Formalizing Constructive Analysis in Nuprl
by Mark Bickford
September 04, 2012
Wider Deployment of Nuprl
by Richard Eaton, Mark Bickford, Robert L. Constable, Christoph Kreitz
September 28, 2012
Bar Induction and the Fan Theorem in Constructive Type Theory
by Robert L. Constable, Mark Bickford, Abhishek Anand
October 12, 2012
A Diversified and Correct-by-Construction Broadcast Service
| cite »
by Vincent Rahli, Nicolas Schiper, Robbert van Renesse, Mark Bickford, Robert L. Constable
October 30, 2012
Polymorphic Logic
| cite »
by Mark Bickford, Robert L. Constable
July 29, 2012
ShadowDB: A Replicated Database on a Synthesized Consensus Core
| cite »
by Nicolas Schiper, Vincent Rahli, Robbert van Renesse, Mark Bickford, Robert L. Constable
October 07, 2012
Realizing Bar Induction in Nuprl
by Mark Bickford
October 26, 2012
NuPRL Demo
by Mark Bickford
September 16, 2011
Simple Consensus Algorithm
by Robert L. Constable, Mark Bickford, Vincent Rahli
October 28, 2011
Impredicative vs Predicative Type Theory
by Robert L. Constable, Mark Bickford, Richard Eaton
April 13, 2012
Adding Communication Primitives to the Nuprl Evaluator
by Mark Bickford
May 04, 2012
Intuitionistic Completeness of First-Order Logic
| cite »
by Robert L. Constable, Mark Bickford
October 07, 2011
Generating Event Logics with Higher-Order Processes as Realizers
| cite »
by Mark Bickford, Robert L. Constable, David Guaspari
2010
Automated Proof of Authentication Protocols in a Logic of Events
| cite »
by Mark Bickford
2010
Investigating Correct-by-Construction Attack-Tolerant Systems
| cite »
by Robert L. Constable, Mark Bickford, Robbert van Renesse
2010
Component Specification Using Event Classes
| cite »
by Mark Bickford
2009
Formal Foundations of Computer Security
| cite »
by Mark Bickford, Robert L. Constable
2008
Unguessable Atoms: A Logical Foundation for Security
| cite »
by Mark Bickford
2008
Innovations in Computational Type Theory using Nuprl
| cite »
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo, Evan Moran
2006
Chain Replication Protocol
by Mark Bickford
September 27, 2006
Formalizing chain replication
by Mark Bickford, David Guaspari
2006
Unguessable Atoms: A Logical Foundation for Security
| cite »
by Mark Bickford
2006
Automating Proofs in Event Logic
by Mark Bickford, Richard Eaton
August 26, 2005
Automated Proofs in Event Logic
by Mark Bickford
September 16, 2005
Urelements in Type Theory: New Definition of "Inherence"
by Mark Bickford
November 18, 2005
Automating Proofs in Event Logic
by Mark Bickford, Richard Eaton
March 23, 2006
Event Systems: Introduction to the Logic of Events
by Mark Bickford
February 17, 2006
A Causal Logic of Events in Formalized Computational Type Theory
| cite »
by Mark Bickford, Robert L. Constable
2005
Knowledge-based synthesis of distributed systems using event structures
| cite »
by Mark Bickford, Robert L. Constable, Joseph Y. Halpern, Sabina Petride
2005
A Programming Logic for Distributed Systems
| cite »
by Mark Bickford, David Guaspari
2005
Real-time Message Automata
by Mark Bickford
February 11, 2005
Mark Presentation
by Mark Bickford
November 29, 2004
Urelements in Computational Type Theory
by Mark Bickford
November 11, 2005
Knowledge-Based Synthesis of Distributed Systems Using Event Structures
by Mark Bickford, Robert L. Constable, Joseph Y. Halpern, Sabina Petride
2004
The Logic of Events and Event Structure Patterns
by Mark Bickford
April 26, 2004
Leader Election Protocols
by Mark Bickford
October 06, 2003
A Nuprl-PVS Connection: Integrating Libraries of Formal Mathematics
| cite »
by Jon Kleinberg, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz
2003
Event Systems
by Mark Bickford
November 08, 2003
Graph Theory
by Mark Bickford
May 14, 2003
General Automata Theory
by Mark Bickford
January 25, 2003
A Logic of Events
| cite »
by Mark Bickford, Robert L. Constable
2003
Implementing the Logic of Events
by Mark Bickford
February 24, 2003
Application of Event Systems and the Logic of Distributed Systems to Leader Election
by Mark Bickford
September 30, 2002
Introduction to Event Systems and the Logic of Distributed Systems
by Mark Bickford, Robert L. Constable
September 16, 2002
Hybrid Protocols
by Mark Bickford
February 20, 2002
FDL: A Prototype Formal Digital Library
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo
2002
Recent Results on the PCES Project
by Mark Bickford
April 01, 2002
Report on the DARPA PCES PI meeting
by Robert L. Constable, Lori Lorigo, Mark Bickford
October 29, 2001
Processing video streams using event notification systems
by Robert L. Constable, Mark Bickford
October 15, 2001
More on proof automation: Shostak's decision procedure and Nuprl
by Mark Bickford
September 24, 2001
An Experiment in Formal Design Using Meta-Properties
| cite »
by Mark Bickford, Christoph Kreitz, Robbert van Renesse, Robert L. Constable
2001
Proving Hybrid Protocols Correct
| cite »
by Mark Bickford, Christoph Kreitz, Robbert van Renesse, Xiaoming Liu
2001
Formally Verifying Hybrid Protocols with the Nuprl Logical Programming Environment
| cite »
by Mark Bickford, Christoph Kreitz, Robbert van Renesse
2001
Protocol Switching: Exploiting Meta-Properties
| cite »
by Xiaoming Liu, Robbert van Renesse, Mark Bickford, Christoph Kreitz, Robert L. Constable
2001
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 04, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 11, 2000
Summer Reports
by Stuart F. Allen, Ralph Benzinger, Regina Barzilay, Ozan Hafizogullari, Aleksey Nogin, Amanda Holland-Minkley, Mark Bickford, Sasha Evfimievski, Lori Lorigo
September 18, 2000
Continuation on reflection
by Mark Bickford
March 13, 2000
IO-automata and Ensemble
by Mark Bickford
February 21, 2000
An Object-Oriented Approach to Verifying Group Communication Systems
| cite »
by Mark Bickford, Jason Hickey
1999
Birman, Kenneth
The Horus and Ensemble Projects: Accomplishments and Limitations
| cite »
by Kenneth Birman, Robert L. Constable, Mark Hayden, Jason Hickey, Christoph Kreitz, Robbert van Renesse, Ohad Rodeh, Werner Vogels
2000
Building Reliable, High-Performance Communication Systems from Components
| cite »
by Xiaoming Liu, Christoph Kreitz, Robbert van Renesse, Jason Hickey, Mark Hayden, Kenneth Birman, Robert L. Constable
1999
Bridges, Douglas
Computational Content of Math
by Douglas Bridges
October 19, 1993
Bromley, H. M.
Implementing Mathematics with the Nuprl Development System
| cite »
by Robert L. Constable, Stuart F. Allen, H. M. Bromley, Walter Rance Cleaveland, J. F. Cremer, Robert W. Harper, Douglas J. Howe, Todd B. Knoblock, Nax P. Mendler, Prakash Panangaden, James T. Sasaki, Scott F. Smith
1986
ML Execution
by H. M. Bromley
1984-1985
Nuprl Execution
by H. M. Bromley
1984-1985
Brown, Geoffrey
Formally Verified Synthesis of Combinational Circuits
| cite »
by David A. Basin, Geoffrey Brown, Miriam Leeser
1991
Bryukhov, Yegor
Arithmetic module for MetaPRL: rules and Arith tactic
by Yegor Bryukhov
March 25, 2002
Bundy, Alan
The Oyster-Clam System
| cite »
by Alan Bundy, Frank Van Harmelen, Christian Horn, Alan Smaill
1990
Caldwell, James L.
Classical Propositional Logic
by James L. Caldwell
July 28, 2004
Logical Aspects of Digital Mathematics Libraries (extended abstract)
| cite »
by Stuart F. Allen, James L. Caldwell, Robert L. Constable
2001
Search Algorithms in Type Theory
| cite »
by James L. Caldwell, Ian Gent, Judith Underwood
2000
Intuitionistic Tableau Extracted
| cite »
by James L. Caldwell
1999
Classical Propositional Decidability via Nuprl Proof Extraction
| cite »
by James L. Caldwell
1998
Decidability Extracted: Synthesizing
| cite »
by James L. Caldwell
1998
Extracting Readable and Efficient Programs from Nuprl Proofs
by James L. Caldwell
November 18, 1997
Extracting Propositional Decidability: A Proof of Propositional Decidability in Constructive Type Theory and its Extracted Program
| cite »
by James L. Caldwell
1997
Moving Proofs-as-Programs into Practice
| cite »
by James L. Caldwell
1997
Classical Tools for Constructive Proof Search
| cite »
by James L. Caldwell, Judith Underwood
1996
Formal Methods Program at NASA Langley Research Center
by James L. Caldwell
February 07, 1995
Chan, Tat-hung
Reversal-Bounded Computations
| cite »
by Tat-hung Chan
1980
Chen, Wilfred Z.
TBA
by David A. Basin, David McAllister, Wilfred Z. Chen
May 04, 1993
Tactic-Based Theorem Proving and Knowledge-Based Forward Chaining: An Experiment with Nuprl and Ontic
| cite »
by Wilfred Z. Chen
1992
How to Strengthen the Notion of Obvious Step
by Wilfred Z. Chen
October 22, 1991
CADE Practice Talk
by Wilfred Z. Chen
May 12, 1992
TBA
by David A. Basin, David McAllister, Wilfred Z. Chen
April 08, 1988
TBA
by David A. Basin, David McAllister, Wilfred Z. Chen
October 13, 1987
Cheney, James
Randomized Programming and Probabilistic Reasoning in Type Theory
by James Cheney
April 17, 2000
Cheung, Crystal
Brouwer's Fan Theorem: An Overview
by Crystal Cheung
2015
Chew, Paul
Collaborative Mathematics Environments
| cite »
by Robert L. Constable, Paul Chew, Keshav Pingali, Steve Vavasis, Richard Zippel
1996
Cleaveland, Walter Rance
Type-Theoretic Models of Concurrency
| cite »
by Walter Rance Cleaveland
1987
Implementing Finite Sets
by Walter Rance Cleaveland
September 09, 1986
Implementing Mathematics with the Nuprl Development System
| cite »
by Robert L. Constable, Stuart F. Allen, H. M. Bromley, Walter Rance Cleaveland, J. F. Cremer, Robert W. Harper, Douglas J. Howe, Todd B. Knoblock, Nax P. Mendler, Prakash Panangaden, James T. Sasaki, Scott F. Smith
1986
Cohen, Liron
Open Bar -- A Reconciliation between Intuitionistic and Classical Logic
by Vincent Rahli, Mark Bickford, Robert L. Constable, Liron Cohen
2020
Bar Induction is Compatible with Constructive Type Theory
| cite »
by Vincent Rahli, Liron Cohen, Mark Bickford, Robert L. Constable
2019
Automated Reasoning in Herbrand Structures
by Liron Cohen, Reuben Rowe, Yoni Zohar
June 03, 2019
Computability Beyond Church-Turing using Choice Sequences
| cite »
by Liron Cohen, Vincent Rahli, Mark Bickford, Robert L. Constable
2018
A Verified Theorem Prover Backend Supported by a Monotonic Library
| cite »
by Vincent Rahli, Liron Cohen, Mark Bickford
November 01, 2018
Uniform Inductive Reasoning in Transitive Closure Logic via Infinite Descent
| cite »
by Liron Cohen, Reuben Rowe
July 01, 2018
Intuitionistic Ancestral Logic
by Liron Cohen, Robert L. Constable
October 10, 2015
Intuitionistic Ancestral Logic
by Liron Cohen
July 12, 2012
Constable, Robert L.
Computer Science at the Frontiers of Mathematics
by Robert L. Constable
January 15, 2020
The Continuum
by Robert L. Constable
February 26, 2020
Open Bar -- A Reconciliation between Intuitionistic and Classical Logic
by Vincent Rahli, Mark Bickford, Robert L. Constable, Liron Cohen
2020
Bar Induction is Compatible with Constructive Type Theory
| cite »
by Vincent Rahli, Liron Cohen, Mark Bickford, Robert L. Constable
2019
Computability Beyond Church-Turing using Choice Sequences
| cite »
by Liron Cohen, Vincent Rahli, Mark Bickford, Robert L. Constable
2018
Implementing Euclid's Straightedge and Compass Constructions in Type Theory
| cite »
by Ariel Kellison, Mark Bickford, Robert L. Constable
2018
Bar Induction: The Good, the Bad, and the Ugly
| cite »
by Vincent Rahli, Mark Bickford, Robert L. Constable
April 11, 2017
EventML: Specification, verification, and implementation of crash-tolerant state machine replication systems
| cite »
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
November 15, 2017
A Formal Exploration of Constructive Geometry
by Sarah Sernaker, Robert L. Constable
2016
A Formal Exploration of Constructive Geometry
by Robert L. Constable, Sarah Sernaker
2016
Constructive Reading of Classical Logic
by Robert L. Constable, Sarah Sernaker
2015
Intuitionistic Ancestral Logic
by Liron Cohen, Robert L. Constable
October 10, 2015
Formal Specification, Verification, and Implementation of Fault-Tolerant Systems using EventML
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
September 01, 2015
Nuprl’s Inductive Logical Forms
by Mark Bickford, Robert L. Constable, Richard Eaton, Vincent Rahli
September 01, 2015
Intuitionistic Completeness of First-Order Logic
| cite »
by Robert L. Constable, Mark Bickford
January 01, 2014
Inductive Construction in Nuprl Type Theory Using Bar Induction
by Mark Bickford, Robert L. Constable
May 12, 2014
Logical Investigations, with the Nuprl Proof Assistant
by Robert L. Constable, Anne Trostle
July 22, 2014
Synthesizing Protocols using the Logic of Events and EventML
by Robert L. Constable, Mark Bickford
September 17, 2014
Topics in Type Theory
by Abhishek Anand, Robert L. Constable, Mark Bickford
October 22, 2014
Developing Correctly Replicated Databases Using Formal Tools
by Nicolas Schiper, Vincent Rahli, Robbert van Renesse, Mark Bickford, Robert L. Constable
June 23, 2014
A Type Theory with Partial Equivalence Relations as Types
by Abhishek Anand, Mark Bickford, Robert L. Constable, Vincent Rahli
May 12, 2014
Formalizing Bishop's Constructive Analysis in Constructive Type Theory
by Mark Bickford, Robert L. Constable
April 10, 2014
Virtual Evidence: A Constructive Semantics for Classical Logics
by Robert L. Constable
2014
The Logic of Information Flow and the Foundations of Distributed Computing
by Robert L. Constable
January 10, 2013
Nuprl as a Programming Assistant
by Robert L. Constable
November 06, 2013
Formal Specification, Verification, and Implementation of Fault-Tolerant Systems
by Vincent Rahli, David Guaspari, Mark Bickford, Robert L. Constable
March 31, 2013
An Extension of OCaml's Type Theory
by Robert L. Constable
October 23, 2013
Introduction to EventML
by Mark Bickford, Robert L. Constable, Richard Eaton, David Guaspari
February 03, 2012
Proof Assistants and the Rise of Type Theory Circa 1912-2012
by Robert L. Constable
March 19, 2012
Type Theoretic Semantics for First-Order Logic
by Robert L. Constable
May 24, 2012
Proof Assistants and the Dynamic Nature of Formal Theories
| cite »
by Robert L. Constable
June 29, 2012
Proofs as Process
by Robert L. Constable
2012
Wider Deployment of Nuprl
by Richard Eaton, Mark Bickford, Robert L. Constable, Christoph Kreitz
September 28, 2012
Bar Induction and the Fan Theorem in Constructive Type Theory
by Robert L. Constable, Mark Bickford, Abhishek Anand
October 12, 2012
A Diversified and Correct-by-Construction Broadcast Service
| cite »
by Vincent Rahli, Nicolas Schiper, Robbert van Renesse, Mark Bickford, Robert L. Constable
October 30, 2012
Next Generation Proof Technology
by Robert L. Constable
December 27, 2012
The Logic of Events, a framework to reason about distributed systems
| cite »
by Mark Bickford, Vincent Rahli, Robert L. Constable
2012
On Building Constructive Formal Theories of Computation Noting the Roles of Turing, Church, and Brouwer
| cite »
by Robert L. Constable
June 29, 2012
Introduction to the Fall Seminar Series
by Robert L. Constable
September 07, 2012
Polymorphic Logic
| cite »
by Mark Bickford, Robert L. Constable
July 29, 2012
Russell's Orders in Kripke's Theory of Truth and Computational Type Theory
| cite »
by Robert L. Constable, Fairouz Kamareddine, Twan Laan
2012
ShadowDB: A Replicated Database on a Synthesized Consensus Core
| cite »
by Nicolas Schiper, Vincent Rahli, Robbert van Renesse, Mark Bickford, Robert L. Constable
October 07, 2012
Seminar History and Initial Planning Meeting
by Robert L. Constable
September 09, 2011
Seminar History and Initial Planning Meeting
by Robert L. Constable, Robert L. Constable
September 09, 2011
Seminar History and Initial Planning Meeting
by Robert L. Constable, Robert L. Constable
September 09, 2011
Analyzing Access Control Logics Using Evidence Semantics
by Robert L. Constable
September 23, 2011
Simple Consensus Algorithm
by Robert L. Constable, Mark Bickford, Vincent Rahli
October 28, 2011
Stronger Role for Recursive Types Needed for Logic of Events
by Robert L. Constable
February 24, 2012
Reviewing Nuprl
by Robert L. Constable
March 09, 2012
Impredicative vs Predicative Type Theory
by Robert L. Constable, Mark Bickford, Richard Eaton
April 13, 2012
Intuitionistic Completeness of First-Order Logic
| cite »
by Robert L. Constable, Mark Bickford
October 07, 2011
Generating Event Logics with Higher-Order Processes as Realizers
| cite »
by Mark Bickford, Robert L. Constable, David Guaspari
2010
Investigating Correct-by-Construction Attack-Tolerant Systems
| cite »
by Robert L. Constable, Mark Bickford, Robbert van Renesse
2010
The Triumph of Types: Principia Mathematica's Impact on Computer Science
| cite »
by Robert L. Constable
2010
Building Mathematics-Based Software Systems to Advance Science and Create Knowledge
| cite »
by Robert L. Constable
2009
Formal Foundations of Computer Security
| cite »
by Mark Bickford, Robert L. Constable
2008
Effectively Nonblocking Consensus Procedures Can Execute Forever - a Constructive Version of FLP
| cite »
by Robert L. Constable
2008
Computational Type Theory -- Extended Version
| cite »
by Robert L. Constable
2008
Extracting the Resolution Algorithm from a Completeness Proof for the Propositional Calculus
| cite »
by Wojciech Moczydlowski, Robert L. Constable
2007
Transforming the Academy: Knowledge Formation in the Age of Digital Information
by Robert L. Constable
January 11, 2007
Innovations in Computational Type Theory using Nuprl
| cite »
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo, Evan Moran
2006
Enabling Large Scale Coherency Among Mathematical Texts
| cite »
by Stuart F. Allen, Robert L. Constable
2006
Using Formal Reference to Enhance Authority and Integrity in Online Mathematical Texts
| cite »
by Stuart F. Allen, Robert L. Constable, Lori Lorigo
2006
Extracting Programs from Constructive HOL Proofs via IZF Set-Theoretic Semantics
| cite »
by Robert L. Constable, Wojciech Moczydlowski
2006
Information-Intensive Proof Technology
| cite »
by Robert L. Constable
2006
A Causal Logic of Events in Formalized Computational Type Theory
| cite »
by Mark Bickford, Robert L. Constable
2005
Knowledge-based synthesis of distributed systems using event structures
| cite »
by Mark Bickford, Robert L. Constable, Joseph Y. Halpern, Sabina Petride
2005
Randomness and Free Choice Sequences
by Robert L. Constable
February 04, 2005
Remarks on Nijmegen trip
by Robert L. Constable
November 08, 2004
Foundations for the Management of Formal Mathematical Knowledge
by Robert L. Constable
October 25, 2004
Automated Reasoning in Category Theory
by Robert L. Constable
October 04, 2004
Expressing and Implementing the Computational Content Implicit in Smullyan's Account of Boolean Valuations
| cite »
by Stuart F. Allen, Robert L. Constable, Matthew Fluet
2004
Knowledge-Based Synthesis of Distributed Systems Using Event Structures
by Mark Bickford, Robert L. Constable, Joseph Y. Halpern, Sabina Petride
2004
A Graph-Based Approach towards Discerning Inherent Structures in a Digital Library of Formal Mathematics.
| cite »
by Lori Lorigo, Jon Kleinberg, Richard Eaton, Robert L. Constable
2004
Important Episodes in the History of Constructive Mathematics--including the frog and mouse wars
by Robert L. Constable
March 01, 2004
Comparing Aspects of Set Theory and Type Theory
by Robert L. Constable
February 16, 2004
Planning Session for Spring Seminar Series
by Robert L. Constable
January 26, 2004
Steps Toward a World Wide Digital Library of Formal Algorithmic Knowledge
by Robert L. Constable
October 27, 2003
An Introduction to Event Systems
by Robert L. Constable
September 29, 2003
Introduction to the Fall Seminar Series
by Robert L. Constable
September 08, 2003
A Nuprl-PVS Connection: Integrating Libraries of Formal Mathematics
| cite »
by Jon Kleinberg, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz
2003
Practical Reflection in Nuprl
| cite »
by Eli Barzilay, Stuart F. Allen, Robert L. Constable
2003
A Logic of Events
| cite »
by Mark Bickford, Robert L. Constable
2003
Recent Results in Type Theory and Their Relationship to Automath
| cite »
by Robert L. Constable
2003
MetaPRL -- A Modular Logical Environment
| cite »
by Jason Hickey, Aleksey Nogin, Robert L. Constable, Brian Aydemir, Eli Barzilay, Lori Lorigo
2003
Continuing Discussion of the NSDL
by Robert L. Constable
April 14, 2003
Enabling Active Mathematical Documents in the National Science Digital Library
by Robert L. Constable
March 31, 2003
Uri Abraham's Models for Concurrency
by Robert L. Constable, Sabina Petride
January 27, 2003
Continuing Discussion of Objects
by Alexei Kopylov, Robert L. Constable
December 02, 2002
Classes and Objects
by Robert L. Constable
November 25, 2002
Introduction to Event Systems and the Logic of Distributed Systems
by Mark Bickford, Robert L. Constable
September 16, 2002
Computational Complexity and Induction for Partial Computable Functions in Type Theory
| cite »
by Robert L. Constable, Karl Crary
2002
Naive Computational Type Theory
| cite »
by Robert L. Constable
2002
FDL: A Prototype Formal Digital Library
by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo
2002
Properties of the Formal Digital Library
by Robert L. Constable
May 06, 2002
Report on the Edinburgh Conference: 35 Years of Automath
by Robert L. Constable
2001-2002
Report on the Design of the Formal Digital Library
by Richard Eaton, Robert L. Constable, Stuart F. Allen
April 08, 2002
Explaining the Formal Digital Library
by Stuart F. Allen, Robert L. Constable, Richard Eaton
March 11, 2002
Embedded Ststems
by Christoph Kreitz, Robert L. Constable
November 05, 2001
Report on the DARPA PCES PI meeting
by Robert L. Constable, Lori Lorigo, Mark Bickford
October 29, 2001
Progress on the ONR University Research Initiative in Digital Libraries for Computational Mathematics
by Stuart F. Allen, Robert L. Constable
December 03, 2001
Processing video streams using event notification systems
by Robert L. Constable, Mark Bickford
October 15, 2001
Logical Aspects of Digital Mathematics Libraries (extended abstract)
| cite »
by Stuart F. Allen, James L. Caldwell, Robert L. Constable
2001
Finite Automata
by Robert L. Constable
May 16, 2001
An Experiment in Formal Design Using Meta-Properties
| cite »
by Mark Bickford, Christoph Kreitz, Robbert van Renesse, Robert L. Constable
2001
Protocol Switching: Exploiting Meta-Properties
| cite »
by Xiaoming Liu, Robbert van Renesse, Mark Bickford, Christoph Kreitz, Robert L. Constable
2001
NSF ITR proposal
by Robert L. Constable, Robert L. Constable
March 26, 2001
NSF ITR proposal
by Robert L. Constable, Robert L. Constable
March 26, 2001
NSF ITR proposal
by Robert L. Constable, Robert L. Constable
March 12, 2001
NSF ITR proposal
by Robert L. Constable, Robert L. Constable
March 12, 2001
How Nuprl Reasons
by Robert L. Constable
January 29, 2001
Research Directions
by Robert L. Constable
September 25, 2000
Reading BAAs and RFPs
by Robert L. Constable
October 16, 2000
Reading BAAs and RFPs (cont.)
by Robert L. Constable
October 23, 2000
Discussing the issues surrounding our library of formal algorithmic mathematics
by Robert L. Constable
November 13, 2000
The Nuprl Open Logical Environment
| cite »
by Stuart F. Allen, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo
2000
The Horus and Ensemble Projects: Accomplishments and Limitations
| cite »
by Kenneth Birman, Robert L. Constable, Mark Hayden, Jason Hickey, Christoph Kreitz, Robbert van Renesse, Ohad Rodeh, Werner Vogels
2000
Nuprl's Class Theory and Its Applications
| cite »
by Robert L. Constable, Jason Hickey
2000
Intersections, Unions and Games
by Robert L. Constable, Alexei Kopylov, Aleksey Nogin
December 06, 1999
Points of Contact with Girard (Nuprl ∩ Ludics)
by Robert L. Constable
September 13, 1999
Verbalization of High-Level Formal Proofs
| cite »
by Amanda Holland-Minkley, Regina Barzilay, Robert L. Constable
1999
Metalogical Frameworks II: Developing a Reflected Decision Procedure
| cite »
by William Aitken, Robert L. Constable, Judith Underwood
1999
Building Reliable, High-Performance Communication Systems from Components
| cite »
by Xiaoming Liu, Christoph Kreitz, Robbert van Renesse, Jason Hickey, Mark Hayden, Kenneth Birman, Robert L. Constable
1999
Semantics and Pragmatics of Reflected Proof
by Stuart F. Allen, Sergei Artemov, Robert L. Constable
December 01, 1998
Listening to Theorem Provers who Talk to Each Other about Computer Systems
by Robert L. Constable
October 20, 1998
Some Uses of the Intersection Type
by Stuart F. Allen, Robert L. Constable
May 03, 1999
Reflection Mechanisms in Nuprl
by Stuart F. Allen, Robert L. Constable
November 10, 1998
On Modeling Ensemble
by Robert L. Constable, Jason Hickey
October 27, 1998
The Structure of Nuprl's Type Theory
| cite »
by Robert L. Constable
1997
Computability is Ineffable in ZF Set Theory
by Robert L. Constable
April 01, 1997
Discussion of Issues in Logic Library Design
by Robert L. Constable, Jason Hickey, Stuart F. Allen, Richard Eaton
March 03, 1997
Collaborative Mathematics Environments
| cite »
by Robert L. Constable, Paul Chew, Keshav Pingali, Steve Vavasis, Richard Zippel
1996
Collaborative Mathematics Environments
by Robert L. Constable
November 21, 1996
Formalizing Automata Theory I: Finite Automata
| cite »
by Robert L. Constable, Paul B. Jackson, Pavel Naumov, Juan Uribe
1996
Formalizing Automata II: Decidable Properties
| cite »
by Robert L. Constable, Pavel Naumov
1996
The Value of Automated Deduction
| cite »
by Robert L. Constable
1996
Creating and Evaluating Interactive Formal Courseware for Mathematics and Computing
| cite »
by Robert L. Constable
1996
Project Direction and Research Problems
by Robert L. Constable
February 06, 1996
Expressing Computational Complexity in Constructive Type Theory
| cite »
by Robert L. Constable
1995
Experience Using Type Theory as a Foundation for Computer Science Circa 1985-1995
| cite »
by Robert L. Constable
1995
Defining the Polynomial Time Functions over N in Nuprl
by Robert L. Constable
March 28, 1995
An Open Architecture for Nuprl
by Robert L. Constable
March 01, 1995
Representing Computational Complexity in Nuprl
by Robert L. Constable
November 22, 1994
Exporting and Reflecting Abstract Meta-mathematics
| cite »
by Robert L. Constable
1994
Towards Integrated Systems for Symbolic Algebra and Formal Constructive Mathematics
| cite »
by Robert L. Constable, Paul B. Jackson
1994
Using Reflection to Explain and Enhance Type Theory
| cite »
by Robert L. Constable
1994
Theorem Proving with Real Numbers
by Robert L. Constable
August 31, 1993
Project Overview
by Robert L. Constable
July 01, 1993
Predicative Higher-Order PROPOSITIONAL Logic vs. the Impredicative Propositional Calculus
by Robert L. Constable, Robert L. Constable
April 19, 1993
Predicative Higher-Order PROPOSITIONAL Logic vs. the Impredicative Propositional Calculus
by Robert L. Constable, Robert L. Constable
April 19, 1993
Predicative Higher-Order PROPOSITIONAL Logic vs. the Impredicative Propositional Calculus
by Robert L. Constable, Robert L. Constable
April 19, 1993
Predicative Higher-Order PROPOSITIONAL Logic vs. the Impredicative Propositional Calculus
by Robert L. Constable, Robert L. Constable
April 19, 1993
Lectures on: Classical Proofs as Programs
| cite »
by Robert L. Constable
1992
Metalevel Programming in Constructive Type Theory
| cite »
by Robert L. Constable
1992
Formal Theories and Software Systems: Fundamental Connections Between Computer Science and Logic
| cite »
by Robert L. Constable
1992
Finding Computational Content from Classical Proofs
| cite »
by Robert L. Constable, Chetan Murthy
1991
Type Theory as a Foundation for Computer Science
| cite »
by Robert L. Constable
1991
Metalogical Frameworks
| cite »
by David A. Basin, Robert L. Constable
1991
The Semantics of Reflected Proof
| cite »
by Stuart F. Allen, Robert L. Constable, Douglas J. Howe, William Aitken
1990
Reflecting the Open-Ended Computation System of Constructive Type Theory
| cite »
by Robert L. Constable, Stuart F. Allen, Douglas J. Howe
1990
Nuprl as a General Logic
| cite »
by Robert L. Constable, Douglas J. Howe
1990
Implementing Metamathematics as an Approach to Automatic Theorem Proving
| cite »
by Robert L. Constable, Douglas J. Howe
1990
Assigning Meaning to Proofs: A Semantic Basis for Problem Solving Environments
| cite »
by Robert L. Constable
1989
Collaborative Problem Solving Environment
by Robert L. Constable
1988
Computational Foundations of Basic Recursive Function Theory
| cite »
by Robert L. Constable, Scott F. Smith
1988
Typed Enumeration-Free External Setting for Computing Theory
by Robert L. Constable
November 03, 1987
Partial Objects in Constructive Type Theory
| cite »
by Scott F. Smith, Robert L. Constable
1987
Implementing Mathematics with the Nuprl Development System
| cite »
by Robert L. Constable, Stuart F. Allen, H. M. Bromley, Walter Rance Cleaveland, J. F. Cremer, Robert W. Harper, Douglas J. Howe, Todd B. Knoblock, Nax P. Mendler, Prakash Panangaden, James T. Sasaki, Scott F. Smith
1986
Formalized Metareasoning in Type Theory
| cite »
by Todd B. Knoblock, Robert L. Constable
1986
Infinite Objects in Type Theory
| cite »
by Nax P. Mendler, Robert L. Constable, Prakash Panangaden
1986
Proofs as Programs
| cite »
by Joseph L. Bates, Robert L. Constable
1985
Recursive Definitions in Type Theory
| cite »
by Robert L. Constable, Nax P. Mendler
1985
Constructive Mathematics as a Programming Logic I: Some Principles of Theory
| cite »
by Robert L. Constable
1985
Semantics of Evidence
| cite »
by Robert L. Constable
1985
Universally Closed Classes
by Robert L. Constable
1984-1985
Writing Programs That Construct Proofs
| cite »
by Robert L. Constable, Todd B. Knoblock, Joseph L. Bates
1984
A Hierarchical Approach to Formal Semantics With Application to the Definition of PL/ CS
| cite »
by Robert L. Constable, James Donahue
July 01, 1979
A Programming Logic
| cite »
by Robert L. Constable, Michael J. O'Donnell
1978
A Constructive Programming Logic
by Robert L. Constable
August 08, 1977
Constructive Mathematics and Automatic Program Writers
| cite »
by Robert L. Constable
1971
Crary, Karl
Bar-Type Rules
by Karl Crary
January 25, 2002
Computational Complexity and Induction for Partial Computable Functions in Type Theory
| cite »
by Robert L. Constable, Karl Crary
2002
Type-Theoretic Methodology for Practical Programming Languages
| cite »
by Karl Crary
1998
Simple, Efficient Object Encoding using Intersection Types
by Karl Crary
April 14, 1998
Type Methodology for Modern Languages and Compilers
by Karl Crary
February 24, 1998
From System F to Typed Assembly Language
by Karl Crary
September 16, 1997
Foundations for the Implementation of Higher-Order Subtyping
| cite »
by Karl Crary
1997
Formal Continuations and Classical Logic
by Karl Crary
March 10, 1997
Advancing the Type-Theoretic Underpinnings of Practical Programming Languages
by Karl Crary
1996-1997
Foundations for the Implementation of Higher-Order Subtyping: Part II
by Karl Crary
November 12, 1996
Foundations for the Implementation of Higher-Order Subtyping
by Karl Crary
November 05, 1996
KML
by Karl Crary
April 30, 1996
Cremer, J. F.
Implementing Mathematics with the Nuprl Development System
| cite »
by Robert L. Constable, Stuart F. Allen, H. M. Bromley, Walter Rance Cleaveland, J. F. Cremer, Robert W. Harper, Douglas J. Howe, Todd B. Knoblock, Nax P. Mendler, Prakash Panangaden, James T. Sasaki, Scott F. Smith
1986
deBruijn, N. G.
Math Vernacular
by N. G. deBruijn
November 17, 1987
Del Vecchio, Peter
Verification of Combinational Logic in Nuprl
| cite »
by David A. Basin, Peter Del Vecchio
1989
Donahue, James
A Hierarchical Approach to Formal Semantics With Application to the Definition of PL/ CS
| cite »
by Robert L. Constable, James Donahue
July 01, 1979
Eaton, Richard
Nuprl’s Inductive Logical Forms
by Mark Bickford, Robert L. Constable, Richard Eaton, Vincent Rahli
September 01, 2015
Introduction to EventML
by Mark Bickford, Robert L. Constable, Richard Eaton, David Guaspari
February 03, 2012
Work in Progress
by Richard Eaton
February 20, 2012
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Automatic FDL Projections
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Automating Proofs in Event Logic
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Automating Proofs in Event Logic
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FDL: A Prototype Formal Digital Library
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Report on the Design of the Formal Digital Library
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Summer Reports
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Variations on a Proof by Smullyan
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Formal Specification, Verification, and Implementation of Fault-Tolerant Systems
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Continuation of talk on Polymorphic References
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Dependence Analysis Through Type Inference
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Automatic Debugging Through Type Inference, Continued
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Automatic Debugging Through Type Inference
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Dead Code Elimination
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Caltech Computer Science
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Building Reliable, High-Performance Communication Systems from Components
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On Modeling Ensemble
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Sharing Formal Mathematics and Programming
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Nuprl Tutorial
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Nuprl-Light
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Formal Module Systems and Nuprl-Light: A Programmer's Perspective
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Verifying HORUS in Nuprl
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Formal Abstract Data Types and Inheritance
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Square-Root Verification
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The Ultimate Programming Machine II: Very Dependent Types
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The Ultimate Programming Machine
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Formalizing the Theory Concept in Nuprl
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Formalizing the Theory Mechanism in NuPRL
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Abstract Programming in Nuprl
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Byzantine Chain Replication
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Nuprl Library Annotation
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A Linguistic View of Constuctive Type Theory
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Planning Proof Content for Communicating Induction
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Automatic generation of texts from Nuprl proofs
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Validating a methodology for natural language generation
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September 11, 2000
Summer Reports
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Verbalization of High-Level Formal Proofs
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Verbalization of High-Level Formal Proofs
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Semantic Foundations for Embedding HOL in Nuprl
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Reasoning About Functional Programs in Nuprl
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Constructive Algorithms in Nuprl
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December 01, 1992
Set Models
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Structuring Proofs
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Fefprl
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Fefprl
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October 20, 1992
Fefprl
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Fefprl
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Nuprl as a General Logic
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Finite Multi-Sets
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Constructive Factorization Theory
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Verifying Garbage Collection Algorithms using the PVS Theorem Prover
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Formalizing Automata Theory I: Finite Automata
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The Nuprl Proof Development System, Version 4.2 Reference Manual and User's Guide
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Developing Set Theory in HOL
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Verifying an Implementation of a Polynomial Algebra ADT
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Towards Integrated Systems for Symbolic Algebra and Formal Constructive Mathematics
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Exploring Abstract Algebra in Constructive Type Theory
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The MIZAR Project
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Defining Polynomials in Constructive Type Theory
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Editor Demonstration
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Structuring Proofs
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Nuprl and Its Use in Circuit Design
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Nuprl 3 vs. Nuprl 4
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Developing a Toolkit for Floating-Point Hardware in the Nuprl Proof Development System
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Using Nuprl to Verify Floating Point Hardware
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Logic-Based Knowledge Representation
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Implementing Euclid's Straightedge and Compass Constructions in Type Theory
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Some Recent Results in MetaPRL
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A Graph-Based Approach towards Discerning Inherent Structures in a Digital Library of Formal Mathematics.
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A Nuprl-PVS Connection: Integrating Libraries of Formal Mathematics
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2003
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Formalized Metareasoning in Type Theory
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Reflective PRL
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Writing Programs That Construct Proofs
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Type Theoretical Foundations for Data Structures, Classes, and Objects
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Verified Implementation of Red-Black Trees
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Dependent Intersection: A New Way of Defining Records in Type Theory
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Representing Red-Black Trees in MetaPRL
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Continuing Discussion of Objects
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December 02, 2002
Continuing on Objects and Classes
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November 18, 2002
Abstact Data Structures, Objects and Classes in the Nuprl Type Theory
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November 11, 2002
Representing Objects in Nuplr Type Theory
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April 29, 2002
Objects
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November 19, 2001
Record calculus
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November 12, 2001
Markov's Principle For Propositional Type Theory
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by Alexei Kopylov, Aleksey Nogin
2001
Kopylov and Nogin CSL Submission
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April 02, 2001
A complete list of differences between MetaPRL and Nuprl 4 implementations of type theory
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November 27, 2000
A complete list of differences between MetaPRL and Nuprl 4 implementations of type theory (cont)
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December 04, 2000
Intersections, Unions and Games
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December 06, 1999
Decidability of Linear Affine Logic
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November 01, 1999
Linear Logic
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October 18, 1999
Kozen, Dexter
Formalizing Moessner's Theorem in Nuprl
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June 08, 2012
Automating Proofs in Category Theory
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2006
A Proof-Theoretic Approach to Knowledge Acquisition"
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January 28, 2002
Kreitz, Christoph
Wider Deployment of Nuprl
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September 28, 2012
Nuprl as Logical Framework for Automating Proofs in Category
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by Christoph Kreitz
April 26, 2012
Introduction to Classic ML
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by Christoph Kreitz, Vincent Rahli
2011
Innovations in Computational Type Theory using Nuprl
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by Stuart F. Allen, Mark Bickford, Robert L. Constable, Richard Eaton, Christoph Kreitz, Lori Lorigo, Evan Moran
2006
Automating Proofs in Category Theory
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by Dexter Kozen, Christoph Kreitz, Eva Richter
2006
Microsoft's Spec#
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April 17, 2006
Constructive Proofs and Program Extraction
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February 23, 2004
A Nuprl-PVS Connection: Integrating Libraries of Formal Mathematics
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2003
The FDL Navigator: Browsing and Manipulating Formal Content
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by Christoph Kreitz
2003
The Calculemus Autumn School
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October 28, 2002
FDL: A Prototype Formal Digital Library
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2002
Enhancing Proof Assistant Systems
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February 25, 2002
Embedded Ststems
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November 05, 2001
Proof Automation in Constructive Type Theory
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September 17, 2001
An Experiment in Formal Design Using Meta-Properties
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2001
Proving Hybrid Protocols Correct
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2001
Formally Verifying Hybrid Protocols with the Nuprl Logical Programming Environment
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by Mark Bickford, Christoph Kreitz, Robbert van Renesse
2001
Connection-Driven Inductive Theorem Proving
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by Christoph Kreitz, Brigitte Pientka
2001
Protocol Switching: Exploiting Meta-Properties
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by Xiaoming Liu, Robbert van Renesse, Mark Bickford, Christoph Kreitz, Robert L. Constable
2001
JProver: Integrating Connection-Based Theorem Proving into Interactive Proof Assistants
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2001
The Nuprl Open Logical Environment
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2000
The Horus and Ensemble Projects: Accomplishments and Limitations
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by Kenneth Birman, Robert L. Constable, Mark Hayden, Jason Hickey, Christoph Kreitz, Robbert van Renesse, Ohad Rodeh, Werner Vogels
2000
Matrix-Based Constructive Theorem Proving
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2000
Matrix-Based Inductive Theorem Proving
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2000
A Uniform Procedure for Converting Matrix Proofs into Sequent-Style Systems
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2000
Dependence Analysis Through Type Inference
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1999
Connection-Based Theorem Proving in Classical and Non-Classical Logics
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1999
Automated Fast-Track Reconfiguration of Group Communication Systems
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1999
Automating Inductive Specification Proofs
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1999
Building Reliable, High-Performance Communication Systems from Components
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