(73steps)
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Definitions
Lemmas
mb
automata
4
Sections
GenAutomata
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At:
wp2
rel
correct
1
1
1
2
1
1
1
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.
trace_consistent_rel(rho;A.da;tr.proj;r)
10.
single_valued_decls(A.ds)
11.
s:
[[A]] rho de e.state
12.
x':
[[A]] rho de e.state
13.
tc(r;A.ds;dec_lookup(A.da;kind(a));de)
14.
covers_rel(A;r)
15.
p:pre(). p
A.pre
p.kind = kind(a)
[[p.rel]] rho A.ds dec_lookup(A.da;kind(a)) de e s value(a) niltrace()
16.
ef:eff(). ef
A.eff
ef.kind = kind(a)
x'.ef.smt.lbl = [[ef.smt.term]] 1of(e) s value(a) niltrace()
[[ef.smt.typ]] rho
17.
fr:frame(). fr
A.frame
(kind(a)
fr.acts)
x'.fr.var = s.fr.var
[[fr.typ]] rho
18.
rel_mng_2(r; rho; A.ds; dec_lookup(A.da;kind(a)); de; e; s; x'; value(a); tr)
19.
r@0:
rel()
20.
as:
(Label
Term) List
21.
1of(unzip(as)) = rel_primed_vars(r)
22.
i:
. i < ||as||
2of(as[i])
(
x.smts_eff(action_effect(kind(a);A.eff;A.frame);x))(1of(as[i]))
23.
r@0 = rel_subst2(as;r)
24.
value(a)
[[dec_lookup(A.da;kind(a))]] rho
25.
i:
||as||
26.
mentions_trace(2of(as[i]))
e:eff(). e
A.eff & mentions_trace(e.smt.term)
By:
InstHyp [i] -5
THEN
Reduce -1
Generated subgoal:
1
27.
2of(as[i])
smts_eff(action_effect(kind(a);A.eff;A.frame);1of(as[i]))
e:eff(). e
A.eff & mentions_trace(e.smt.term)
About:
(73steps)
PrintForm
Definitions
Lemmas
mb
automata
4
Sections
GenAutomata
Doc