mb automata 3 Sections GenAutomata Doc

Def l[i] == hd(nth_tl(i;l))

is mentioned by

Thm* A:ioa{i:l}(), as:(LabelTerm) List, k:Label. ioa_mentions_trace(A) (i:. i < ||as|| 2of(as[i]) smts_eff(action_effect(k;A.eff;A.frame);1of(as[i]))) subst_mentions_trace(as)[effect_subst_mentions_trace]
Thm* ds,da:Collection(dec()), de:sig(), rho:Decl, st1:Collection(SimpleType) , e1:{1of([[de]] rho)}, s:{[[ds]] rho}, a:[[st1]] rho, tr:trace_env([[da]] rho), l:Term List. (i:||l||. trace_consistent(rho;da;tr.proj;l[i])) (ls:SimpleType List, f:reduce(s,m. [[s]] rhom;Prop;ls). ||ls|| = ||l|| & (i:. i < ||l|| ls[i] term_types(ds;st1;de;l[i])) list_accum(x,t.x([[t]] e1 s a tr);f;l) Prop)[rel_mng_lemma]
Thm* ds,da:Collection(dec()), de:sig(), rho:Decl, st1:Collection(SimpleType) , e1:{1of([[de]] rho)}, s,s':{[[ds]] rho}, a:[[st1]] rho, tr:trace_env([[da]] rho), l:Term List. (i:||l||. trace_consistent(rho;da;tr.proj;l[i])) (ls:SimpleType List, f:reduce(s,m. [[s]] rhom;Prop;ls). ||ls|| = ||l|| & (i:. i < ||l|| ls[i] term_types(ds;st1;de;l[i])) list_accum(x,t.x([[t]] e1 s s' a tr);f;l) Prop)[rel_mng_2_lemma]
Thm* c:(LabelCollection(Term)), r,r':rel(). r' col_subst2(c;r) (as:(LabelTerm) List. 1of(unzip(as)) = rel_primed_vars(r) & (i:. i < ||as|| 2of(as[i]) c(1of(as[i]))) & r' = rel_subst2(as;r))[member_col_subst2]
Thm* c:(LabelCollection(Term)), r,r':rel(). r' col_subst(c;r) (as:(LabelTerm) List. 1of(unzip(as)) = rel_vars(r) & (i:. i < ||as|| 2of(as[i]) c(1of(as[i]))) & r' = rel_subst(as;r))[member_col_subst]
Thm* r:rel(). rel_mentions_trace(r) (i:. i < ||r.args|| & mentions_trace(r.args[i]))[rel_mentions_trace_iff]
Thm* r:rel(), i:. closed_rel(r) i < ||r.args|| closed_term(r.args[i])[closed_rel_args]
Thm* x:Label, r:rel(). (x rel_primed_vars(r)) (i:. i < ||r.args|| & (x term_primed_vars(r.args[i])))[member_rel_primed_vars]
Thm* as:(LabelTerm) List. subst_mentions_trace(as) (i:||as||. mentions_trace(2of(as[i])))[assert_subst_mentions_trace]
Def trace_consistent_rel(rho;da;R;r) == i:||r.args||. trace_consistent(rho;da;R;r.args[i])[trace_consistent_rel]
Def tc(r;ds;da;de) == Case(r.name) Case eq(Q) = > ||r.args|| = 2 & Q term_types(ds;da;de;r.args[0]) & Q term_types(ds;da;de;r.args[1]) Case R = > ||de.rel(R)|| = ||r.args|| & (i:. i < ||r.args|| (de.rel(R))[i] term_types(ds;da;de;r.args[i])) Default = > False[tc]

In prior sections: list 1 mb list 1 mb collection mb list 2 mb automata 2 mb automata 1

Try larger context: GenAutomata

mb automata 3 Sections GenAutomata Doc