(47steps)
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Definitions
Lemmas
mb
automata
4
Sections
GenAutomata
Doc
At:
wp2
correctness
4
1
1
1
1
1.
A:
ioa{i:l}()
2.
de:
sig()
3.
tc_ioa(A;de)
4.
ioa_mentions_trace(A)
5.
Q:
Fmla
6.
rho:
Decl
7.
e:
{[[de]] rho}
8.
a:
[[A]] rho de e.action
9.
tr:
trace_env([[A.da]] rho)
10.
trace_consistent_pred(rho;A.da;tr.proj;Q)
11.
single_valued_decls(A.ds)
12.
s:
[[A]] rho de e.state
13.
x':
[[A]] rho de e.state
14.
tc_pred(Q;A.ds; < > ;de)
15.
closed_pred(Q)
16.
covers_pred(A;Q)
17.
[[A]] rho de e.trans(s,a,x')
18.
r:
rel()
19.
r
Q
20.
tc(r;A.ds; < > ;de)
21.
closed_rel(r)
22.
r@0:
rel()
23.
r@0
col_subst2(
x.smts_eff(action_effect(kind(a);A.eff;A.frame);x);r)
trace_consistent_rel(rho;A.da;tr.proj;r@0)
By:
RWO "member_col_subst2" -1
THEN
ExRepD
THEN
HypSubstSq -1 0
THEN
BackThru
Thm*
r:rel(), as:(Label
Term) List, daa:Collection(dec()), rho:Decl, te:(Label
Label
). trace_consistent_rel(rho;daa;te;r)
subst_mentions_trace(as)
trace_consistent_rel(rho;daa;te;rel_subst2(as;r))
Generated subgoals:
1
23.
as:
(Label
Term) List
24.
1of(unzip(as)) = rel_primed_vars(r)
25.
i:
. i < ||as||
2of(as[i])
(
x.smts_eff(action_effect(kind(a);A.eff;A.frame);x))(1of(as[i]))
26.
r@0 = rel_subst2(as;r)
trace_consistent_rel(rho;A.da;tr.proj;r)
2
23.
as:
(Label
Term) List
24.
1of(unzip(as)) = rel_primed_vars(r)
25.
i:
. i < ||as||
2of(as[i])
(
x.smts_eff(action_effect(kind(a);A.eff;A.frame);x))(1of(as[i]))
26.
r@0 = rel_subst2(as;r)
subst_mentions_trace(as)
About:
(47steps)
PrintForm
Definitions
Lemmas
mb
automata
4
Sections
GenAutomata
Doc