(51steps)
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Definitions
Lemmas
mb
automata
4
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At:
vc
trace
correct
action
decl
lemma
1
2
1
1
2
2
1
1
1
2
2
1.
A:
ioa{i:l}()
2.
I:
Collection(rel())
3.
rho:
Decl
4.
de:
sig()
5.
e:
{[[de]] rho}
6.
te:
Label
Label
7.
tc_ioa(A;de)
8.
ioa_mentions_trace(A)
9.
trace_consistent_pred(rho;A.da;te;I)
10.
tc_pred(I;A.ds; < > ;de)
11.
covers_pred(A;I)
12.
guarded_trace(A.da;te;I)
13.
closed_pred(I)
14.
single_valued_decls(A.ds)
15.
s0:
[[A]] rho de e.state
16.
x:
[[A]] rho de e.state
17.
act:
[[A]] rho de e.action
18.
x':
[[A]] rho de e.state
19.
tr:
(
[[A.da]] rho) List
20.
[[A]] rho de e.init(s0)
21.
trace_reachable([[A]] rho de e;s0;mk_trace_env(tr, te).trace;x)
22.
r:rel(). r
I
[[r]] rho A.ds < > de e x
mk_trace_env(tr, te)
23.
[[A]] rho de e.trans(x,act,x')
24.
(
r:rel(). (
r@0:rel(). r@0
I & r
wp_rel(A;kind(act);r@0))
[[r]] rho A.ds dec_lookup(A.da;kind(act)) de e x value(act) tappend(mk_trace_env(tr, te);act))
(
r:rel(). r
I
[[r]] rho A.ds < > de e x'
tappend(mk_trace_env(tr, te);act))
25.
r:
rel()
26.
r
I
27.
act
(
[[A.da]] rho)
28.
[[r]] rho A.ds < > de e x'
tappend(mk_trace_env(tr, te);act)
[[wp_rel(A;kind(act);r)]] rho A.ds dec_lookup(A.da;kind(act)) de e x value(act) tappend(...;act)
29.
r@0:
rel()
30.
r@0
smts_eff_rel(action_effect(kind(act);A.eff;A.frame);r)
31.
rel_eq(rel_unprime(r@0);rel_unprime(r))
32.
r:rel(). r
I
[[r]] rho A.ds < > de e x'
tappend(mk_trace_env(tr, te);act)
[[r@0]] rho A.ds dec_lookup(A.da;kind(act)) de e x value(act) tappend(mk_trace_env(tr, te);act)
By:
InstHyp [r] -1
Generated subgoal:
1
33.
[[r]] rho A.ds < > de e x'
tappend(mk_trace_env(tr, te);act)
[[r@0]] rho A.ds dec_lookup(A.da;kind(act)) de e x value(act) tappend(mk_trace_env(tr, te);act)
About:
(51steps)
PrintForm
Definitions
Lemmas
mb
automata
4
Sections
GenAutomata
Doc