| Some definitions of interest. |
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ma-compatible | Def M1 || M2
Def == M1 ||decl M2
Def == & 1of(2of(2of(M1))) || 1of(2of(2of(M2)))
Def == & 1of(2of(2of(2of(M1)))) || 1of(2of(2of(2of(M2))))
Def == & 1of(2of(2of(2of(2of(M1))))) || 1of(2of(2of(2of(2of(M2)))))
Def == & 1of(2of(2of(2of(2of(2of(M1)))))) || 1of(2of(2of(2of(2of(2of(M2))))))
Def == & 1of(2of(2of(2of(2of(2of(2of(M1))))))) || 1of(2of(2of(2of(2of(2of(2of(
Def == & 1of(2of(2of(2of(2of(2of(2of(M1))))))) || 1of(M2)))))))
Def == & 1of(2of(2of(2of(2of(2of(2of(2of(
Def == & 1of(M1)))))))) || 1of(2of(2of(2of(2of(2of(2of(2of(M2)))))))) |
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msga | Def MsgA
Def == ds:x:Id fp-> Type
Def == da:a:Knd fp-> Type
Def == x:Id fp-> ds(x)?Void a:Id fp-> State(ds) ma-valtype(da; locl(a)) Prop
Def == kx:Knd Id fp-> State(ds) ma-valtype(da; 1of(kx)) ds(2of(kx))?Void
Def == kl:Knd IdLnk fp-> (tg:Id
Def == kl:Knd IdLnk fp-> ( State(ds) ma-valtype(da; 1of(kl))
Def == kl:Knd IdLnk fp-> ((da(rcv(2of(kl); tg))?Void List)) List
Def == x:Id fp-> Knd List ltg:IdLnk Id fp-> Knd List Top |
| | Thm* MsgA Type{i'} |
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ma-valtype | Def ma-valtype(da; k) == da(k)?Top |
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Kind-deq | Def KindDeq == union-deq(IdLnk Id;Id;product-deq(IdLnk;Id;IdLnkDeq;IdDeq);IdDeq) |
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Knd | Def Knd == (IdLnk Id)+Id |
| | Thm* Knd Type |
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IdLnk | Def IdLnk == Id Id  |
| | Thm* IdLnk Type |
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idlnk-deq | Def IdLnkDeq == product-deq(Id;Id ;IdDeq;product-deq(Id; ;IdDeq;NatDeq)) |
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ma-state | Def State(ds) == x:Id ds(x)?Top |
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Id | Def Id == Atom  |
| | Thm* Id Type |
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fpf | Def a:A fp-> B(a) == d:A List a:{a:A| (a d) } B(a) |
| | Thm* A:Type, B:(A Type). a:A fp-> B(a) Type |
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fpf-join | Def f g == <1of(f) @ filter( a. a dom(f);1of(g)), a.f(a)?g(a)> |
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fpf-cap | Def f(x)?z == if x dom(f) f(x) else z fi |
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fpf-compatible | Def f || g == x:A. x dom(f) & x dom(g)  f(x) = g(x) B(x) |
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fpf-sub | Def f g == x:A. x dom(f)  x dom(g) & f(x) = g(x) B(x) |
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id-deq | Def IdDeq == product-deq(Atom; ;AtomDeq;NatDeq) |
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locl | Def locl(a) == inr(a) |
| | Thm* a:Id. locl(a) Knd |
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product-deq | Def product-deq(A;B;a;b) == <proddeq(a;b),prod-deq(A;B;a;b)> |
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pi1 | Def 1of(t) == t.1 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 1of(p) A |
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pi2 | Def 2of(t) == t.2 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 2of(p) B(1of(p)) |
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rcv | Def rcv(l; tg) == inl(<l,tg>) |
| | Thm* l:IdLnk, tg:Id. rcv(l; tg) Knd |
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top | Def Top == Void given Void |
| | Thm* Top Type |