Nuprl - mb_event_system_5 Citations of ma-da

mb event system 5 Sections EventSystems Doc

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Def M.da(a) == 1of(2of(M))(a)?Top

is mentioned by

Thm* M1,M2:MsgA.
Thm* M1  M2
Thm*
Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(tg:Id
Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(if source(l) = i
Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(if M2.da(rcv(l; tg))
Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(else Top fi) List.
Thm* (M2.send(k;l;s;v;ms;i)  M1.send(k;l;s;v;ms;i)) [ma-send-sub]

Thm* M1,M2:MsgA.
Thm* M1  M2
Thm*
Thm* (k:Knd, x:Id, s:M2.state, v:M2.da(k), w:M2.ds(x).
Thm* (M2.ef(k,x,s,v,w)  M1.ef(k,x,s,v,w)) [ma-ef-sub]

Thm* M1,M2:MsgA.
Thm* M1  M2
Thm*
Thm* (a:Id, s:M2.state, v:M2.da(locl(a)). M2.pre(a,s,v)  M1.pre(a,s,v)) [ma-pre-sub]

Thm* M1,M2:MsgA, k:Knd. M1  M2  (M2.da(k) r M1.da(k)) [ma-da-sub]

Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(tg:Id
Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(if source(l) = i
Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(if M.da(rcv
Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(if (l; tg))
Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(else Top fi) List.
Thm* M.send(k;l;s;v;ms;i)  Prop [ma-send_wf]

Thm* M:MsgA, k:Knd, s:M.state, v:M.da(k), x:Id, w:M.ds(x).
Thm* M.ef(k,x,s,v,w)  Prop [ma-ef_wf]

Thm* M:MsgA, a:Id, s:M.state, v:M.da(locl(a)). M.pre(a,s,v)  Prop [ma-pre_wf]

Def PossibleWorld(D;w)
Def == FairFifo
Def == & (i,x:Id. vartype(i;x) r M(i).ds(x))
Def == & & (i:Id, a:Action(i).
Def == & & (isnull(a)  (valtype(i;a) r M(i).da(kind(a))))
Def == & & (l:IdLnk, tg:Id. (w.M(l,tg)) r M(source(l)).da(rcv(l; tg)))
Def == & & (i,x:Id. M(i).init(x,s(i;0).x))
Def == & & (i:Id, t:.
Def == & & (isnull(a(i;t))
Def == & & (
Def == & & ((islocal(kind(a(i;t)))
Def == & & ((
Def == & & ((M(i).pre(act(kind(a(i;t))),x.s(i;t).x,val(a(i;t))))
Def == & & (& (x:Id.
Def == & & (& (M(i).ef(kind(a(i;t)),x,x.s(i;t).x,val(a(i;t)),s(i;t+1).x))
Def == & & (& (l:IdLnk.
Def == & & (& (M(i).send(kind(a(i;t));l;x.
Def == & & (& (s(i;t).x;val(a(i;t));withlnk(l;m(i;t));i))
Def == & & (& (x:Id.
Def == & & (& (M(i).frame(kind(a(i;t)) affects x)
Def == & & (& (
Def == & & (& (s(i;t).x = s(i;t+1).x  M(i).ds(x))
Def == & & (& (l:IdLnk, tg:Id.
Def == & & (& (M(i).sframe(kind(a(i;t)) sends <l,tg>)
Def == & & (& (
Def == & & (& (w-tagged(tg; onlnk(l;m(i;t))) = nil  Msg List))
Def == & & (i,a:Id, t:.
Def == & & (t':.
Def == & & (tt'
Def == & & (& isnull(a(i;t')) & kind(a(i;t')) = locl(a)
Def == & & (&  a declared in M(i)
Def == & & (&  unsolvable M(i).pre(a,x.s(i;t').x)) [possible-world]

In prior sections: mb event system 4

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mb event system 5 Sections EventSystems Doc

Thm* M1,M2:MsgA. Thm* M1 M2 Thm* Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(tg:Id Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(if source(l) = i Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(if M2.da(rcv(l; tg)) Thm* (k:Knd, l:IdLnk, s:M2.state, v:M2.da(k), i:Id, ms:(else Top fi) List. Thm* (M2.send(k;l;s;v;ms;i) M1.send(k;l;s;v;ms;i))	[ma-send-sub]
Thm* M1,M2:MsgA. Thm* M1 M2 Thm* Thm* (k:Knd, x:Id, s:M2.state, v:M2.da(k), w:M2.ds(x). Thm* (M2.ef(k,x,s,v,w) M1.ef(k,x,s,v,w))	[ma-ef-sub]
Thm* M1,M2:MsgA. Thm* M1 M2 Thm* Thm* (a:Id, s:M2.state, v:M2.da(locl(a)). M2.pre(a,s,v) M1.pre(a,s,v))	[ma-pre-sub]
Thm* M1,M2:MsgA, k:Knd. M1 M2 (M2.da(k) r M1.da(k))	[ma-da-sub]
Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(tg:Id Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(if source(l) = i Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(if M.da(rcv Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(if (l; tg)) Thm* M:MsgA, k:Knd, l:IdLnk, s:M.state, v:M.V(k), i:Id, ms:(else Top fi) List. Thm* M.send(k;l;s;v;ms;i) Prop	[ma-send_wf]
Thm* M:MsgA, k:Knd, s:M.state, v:M.da(k), x:Id, w:M.ds(x). Thm* M.ef(k,x,s,v,w) Prop	[ma-ef_wf]
Thm* M:MsgA, a:Id, s:M.state, v:M.da(locl(a)). M.pre(a,s,v) Prop	[ma-pre_wf]
Def PossibleWorld(D;w) Def == FairFifo Def == & (i,x:Id. vartype(i;x) r M(i).ds(x)) Def == & & (i:Id, a:Action(i). Def == & & (isnull(a) (valtype(i;a) r M(i).da(kind(a)))) Def == & & (l:IdLnk, tg:Id. (w.M(l,tg)) r M(source(l)).da(rcv(l; tg))) Def == & & (i,x:Id. M(i).init(x,s(i;0).x)) Def == & & (i:Id, t:. Def == & & (isnull(a(i;t)) Def == & & ( Def == & & ((islocal(kind(a(i;t))) Def == & & (( Def == & & ((M(i).pre(act(kind(a(i;t))),x.s(i;t).x,val(a(i;t)))) Def == & & (& (x:Id. Def == & & (& (M(i).ef(kind(a(i;t)),x,x.s(i;t).x,val(a(i;t)),s(i;t+1).x)) Def == & & (& (l:IdLnk. Def == & & (& (M(i).send(kind(a(i;t));l;x. Def == & & (& (s(i;t).x;val(a(i;t));withlnk(l;m(i;t));i)) Def == & & (& (x:Id. Def == & & (& (M(i).frame(kind(a(i;t)) affects x) Def == & & (& ( Def == & & (& (s(i;t).x = s(i;t+1).x M(i).ds(x)) Def == & & (& (l:IdLnk, tg:Id. Def == & & (& (M(i).sframe(kind(a(i;t)) sends <l,tg>) Def == & & (& ( Def == & & (& (w-tagged(tg; onlnk(l;m(i;t))) = nil Msg List)) Def == & & (i,a:Id, t:. Def == & & (t':. Def == & & (tt' Def == & & (& isnull(a(i;t')) & kind(a(i;t')) = locl(a) Def == & & (& a declared in M(i) Def == & & (& unsolvable M(i).pre(a,x.s(i;t').x))	[possible-world]