mb state machine Sections GenAutomata Doc

Def sm{i:l}() == da:Declds:Decl({ds}Prop)({ds}(da){ds}Prop)

is mentioned by

Thm* M:sm{i:l}(), P:(M.state(M.action List)Prop). (M |= always s,t.P(s,t)) (M |= s,t.P(s,t) while True) & (M |= initially s,t.P(s,t))[trace_inv_as_while]
Thm* M:sm{i:l}(), I:(M.state(M.action List)Prop). (x:M.state. M.init(x) I(x,nil)) (s0,x:M.state, act:M.action, x':M.state, l:M.action List. M.init(s0) trace_reachable(M;s0;l;x) I(x,l) M.trans(x,act,x') I(x',l @ [act])) (M |= always s,t.I(s,t))[trace_inv_induction]
Thm* M:sm{i:l}(), l1,l2:M.action List, s,s':M.state. trace_reachable(M;s;l1 @ l2;s') (x:M.state. trace_reachable(M;s;l1;x) & trace_reachable(M;x;l2;s'))[trace_reachable_append]
Thm* M:sm{i:l}(), a:M.action, s,s':M.state. trace_reachable(M;s;[a];s') M.trans(s,a,s')[trace_reachable_one]
Thm* M:sm{i:l}(), l:M.action List, s,s':M.state. trace_reachable(M;s;l;s') Prop[trace_reachable_wf]
Thm* M:sm{i:l}(), f:(LabelLabel), s:(f o M).state. s M.state[sm_a_rename_state]
Thm* M:(Ism{i:l}()), j:I, x:i:IM(i).action. x M(j).action[small_action]
Thm* M:(Ism{i:l}()), j:I, x:i:IM(i).state. x M(j).state[small_state]
Thm* M:sm{i:l}(). M.trans M.stateM.actionM.stateProp[sm_trans_wf]
Thm* M:sm{i:l}(), a:M.action. kind(a) Label & kind(a) Pattern[kind_wf2]
Thm* M:sm{i:l}(). M.init M.stateProp[sm_init_wf]
Thm* t:sm{i:l}(). t.ds Decl[sm_ds_wf]
Thm* t:sm{i:l}(). t.da Decl[sm_da_wf]

Try larger context: GenAutomata

mb state machine Sections GenAutomata Doc