Nuprl Definition : SESAxioms
11,40
postcript
pdf
SESAxioms{i:l}(
E
;
T
;
pred?
;
info
;
when
;
after
;
time
)
== (
e
:
E
,
l
:IdLnk.
== (
e'
:
E
== (
(
e''
:
E
.
== (
(
rcv?(
e''
))
== (
(sender(
e''
) =
e
)
== (
(link(
e''
) =
l
)
== (
(((
e''
=
e'
)
e''
<
e'
) & loc(
e'
) = destination(
l
))))
==
& (((
e
,
e'
:
E
. (loc(
e
) = loc(
e'
))
(
pred?
(
e
) =
pred?
(
e'
))
(
e
=
e'
))
== & (
& SWellFounded(pred!(
e
;
e'
))
== & (
& (
e
:
E
. (
(
first(
e
)))
(loc(pred(
e
)) = loc(
e
)))
== & (
& (
e
:
E
. (
rcv?(
e
))
(loc(sender(
e
)) = source(link(
e
))))
== & (
& (
e
,
e'
:
E
.
== & (& (
(
rcv?(
e
))
(
rcv?(
e'
))
(link(
e
) = link(
e'
))
sender(
e
) < sender(
e'
)
e
<
e'
))
== & (
c
(
e
:
E
.
== & (c
(
(
first(
e
)))
== & (c
(
x
:Id,
t
:
.
when
(
x
,
e
,
t
) =
after
(
x
,pred(
e
),
t
+ ((
time
(
e
)) - (
time
(pred(
e
))))))))
latex
clarification:
SESAxioms{i:l}
SESAxioms
(
E
;
T
;
pred?
;
info
;
when
;
after
;
time
)
== (
e
:
E
,
l
:IdLnk.
== (
e'
:
E
== (
(
e''
:
E
.
== (
(
rcv?(
info
;
e''
))
== (
(sender(
info
;
e''
) =
e
E
)
== (
(link(
info
;
e''
) =
l
IdLnk)
== (
(((
e''
=
e'
E
)
cless(
E
;
pred?
;
info
;
e''
;
e'
)) & loc(
info
;
e'
) = destination(
l
)
Id)))
==
& (((
e
:
E
,
e'
:
E
.
== & (((
(loc(
info
;
e
) = loc(
info
;
e'
)
Id)
(
pred?
(
e
) =
pred?
(
e'
)
(
E
+ Unit))
(
e
=
e'
E
))
== & (
& strongwellfounded(
E
;
e
,
e'
.pred!(
E
;
pred?
;
info
;
e
;
e'
))
== & (
& (
e
:
E
. (
(
first(
pred?
;
e
)))
(loc(
info
;pred(
pred?
;
e
)) = loc(
info
;
e
)
Id))
== & (
& (
e
:
E
. (
rcv?(
info
;
e
))
(loc(
info
;sender(
info
;
e
)) = source(link(
info
;
e
))
Id))
== & (
& (
e
:
E
,
e'
:
E
.
== & (& (
(
rcv?(
info
;
e
))
== & (& (
(
rcv?(
info
;
e'
))
== & (& (
(link(
info
;
e
) = link(
info
;
e'
)
IdLnk)
== & (& (
cless(
E
;
pred?
;
info
;sender(
info
;
e
);sender(
info
;
e'
))
== & (& (
cless(
E
;
pred?
;
info
;
e
;
e'
)))
== & (
c
(
e
:
E
.
== & (c
(
(
first(
pred?
;
e
)))
== & (c
(
x
:Id,
t
:
.
== & (c
when
(
x
,
e
,
t
)
== & (c
=
== & (c
after
(
x
,pred(
pred?
;
e
),
t
+ ((
time
(
e
)) - (
time
(pred(
pred?
;
e
)))))
== & (c
T
(loc(
info
;
e
),
x
))))
latex
Definitions
x
:
A
.
B
(
x
)
,
P
Q
,
destination(
l
)
,
A
c
B
,
left
+
right
,
Unit
,
SWellFounded(
R
(
x
;
y
))
,
pred!(
e
;
e'
)
,
P
&
Q
,
source(
l
)
,
rcv?(
e
)
,
IdLnk
,
link(
e
)
,
sender(
e
)
,
e
<
e'
,
P
Q
,
A
,
b
,
first(
e
)
,
Id
,
x
:
A
.
B
(
x
)
,
s
=
t
,
loc(
e
)
,
f
(
a
)
,
pred(
e
)
FDL editor aliases
SESAxioms
origin