PRL Seminars
A Constructive Completeness Proof for Intuitionistic Predicate Calculus
Abstract
In this week's Prl seminar, I'll present a version of a constructive
completeness proof for intuitionistic predicate calculus. Since
the predicate calculus (unlike the propositional calculus) is
undecidable, this proof cannot give rise to a true decision procedure.
However, it does illustrate a constructive approach to undecidable
problems, and also demonstrates the use of co-inductive definitions
of infinite objects.
Despite the density of the above description, the talk should be
accessible to anyone familiar with constructive logic.
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