(34steps)
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Definitions
Lemmas
mb
automata
4
Sections
GenAutomata
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At:
wp
rel
correctness
2
1
7
2
1.
A:
ioa{i:l}()
2.
r:
rel()
3.
rho:
Decl
4.
de:
sig()
5.
e:
{[[de]] rho}
6.
a:
(
[[A.da]] rho)
7.
tr:
trace_env([[A.da]] rho)
8.
tc_ioa(A;de)
9.
ioa_mentions_trace(A)
10.
trace_consistent_rel(rho;A.da;tr.proj;r)
11.
single_valued_decls(A.ds)
12.
s:
[[A]] rho de e.state
13.
x':
[[A]] rho de e.state
14.
tc(r;A.ds; < > ;de)
15.
closed_rel(r)
16.
covers_rel(A;r)
17.
[[A]] rho de e.trans(s,a,x')
18.
[[r]] rho A.ds < > de e x'
tr
[[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) tr
19.
[[r]] rho A.ds < > de e x'
tr
[[wp(A;kind(a);r)]] rho A.ds dec_lookup(A.da;...) de e s ... tr
20.
trace_consistent_pred(rho;A.da;tr.proj;wp(A;kind(a);r))
trace_consistent_pred(rho;A.da;tr.proj;wp_rel(A;kind(a);r))
By:
RepeatFor 4 (ParallelOp -1)
Generated subgoal:
1
20.
r@0:rel(). r@0
wp(A;kind(a);r)
trace_consistent_rel(rho;A.da;tr.proj;r@0)
21.
r@0:
rel()
22.
r@0
wp_rel(A;kind(a);r)
r@0
wp(A;kind(a);r)
About:
(34steps)
PrintForm
Definitions
Lemmas
mb
automata
4
Sections
GenAutomata
Doc