| Who Cites deliveries at? |
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deliveries_at | Def tr delivered at p == filter( e. is-send(E)(e) loc(E)(e) = p;tr) |
| | Thm* E:EventStruct, p:Label, tr:|E| List. tr delivered at p |E| List |
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event_loc | Def loc(E) == 1of(2of(2of(2of(E)))) |
| | Thm* E:EventStruct. loc(E) |E| Label |
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eq_lbl | Def l1 = l2 == Case(l1) Case ptn_atom(x) = > Case(l2) Case ptn_atom(y) = > x= y Atom Default = > false Case ptn_int(x) = > Case(l2) Case ptn_int(y) = > x= y Default = > false Case ptn_var(x) = > Case(l2) Case ptn_var(y) = > x= y Atom Default = > false Case ptn_pr( < x, y > ) = > Case(l2) Case ptn_pr( < u, v > ) = > x = u y = v Default = > false Default = > false (recursive) |
| | Thm* l1,l2:Pattern. l1 = l2  |
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event_is_snd | Def is-send(E) == 1of(2of(2of(2of(2of(E))))) |
| | Thm* E:EventStruct. is-send(E) |E|   |
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bnot | Def  b == if b false else true fi |
| | Thm* b: .  b  |
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band | Def p q == if p q else false fi |
| | Thm* p,q: . (p q)  |
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filter | Def filter(P;l) == reduce( a,v. if P(a) [a / v] else v fi;nil;l) |
| | Thm* T:Type, P:(T  ), l:T List. filter(P;l) T List |
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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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pi1 | Def 1of(t) == t.1 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 1of(p) A |
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case_default | Def Default = > body(value,value) == body |
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case_lbl_pair | Def Case ptn_pr( < x, y > ) = > body(x;y) cont(x1,z) == InjCase(x1; _. cont(z,z); x2. InjCase(x2; _. cont(z,z); x2@0. InjCase(x2@0; _. cont(z,z); x2@1. x2@1/x3,x2@2. body(x3;x2@2)))) |
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case | Def Case(value) body == body(value,value) |
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eq_atom | Def x= y Atom == if x=y Atom true ; false fi |
| | Thm* x,y:Atom. x= y Atom  |
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case_ptn_var | Def Case ptn_var(x) = > body(x) cont(x1,z) == ( x1.inr(x2) = > ( x1.inr(x2) = > ( x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
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eq_int | Def i= j == if i=j true ; false fi |
| | Thm* i,j: . (i= j)  |
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case_ptn_int | Def Case ptn_int(x) = > body(x) cont(x1,z) == ( x1.inr(x2) = > ( x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
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case_ptn_atom | Def Case ptn_atom(x) = > body(x) cont(x1,z) == InjCase(x1; x2. body(x2); _. cont(z,z)) |
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reduce | Def reduce(f;k;as) == Case of as; nil k ; a.as' f(a,reduce(f;k;as')) (recursive) |
| | Thm* A,B:Type, f:(A B B), k:B, as:A List. reduce(f;k;as) B |
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hd | Def hd(l) == Case of l; nil "?" ; h.t h |
| | Thm* A:Type, l:A List. ||l|| 1  hd(l) A |
| | Thm* A:Type, l:A List . hd(l) A |
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tl | Def tl(l) == Case of l; nil nil ; h.t t |
| | Thm* A:Type, l:A List. tl(l) A List |
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case_inl | Def inl(x) = > body(x) cont(value,contvalue) == InjCase(value; x. body(x); _. cont(contvalue,contvalue)) |
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case_inr | Def inr(x) = > body(x) cont(value,contvalue) == InjCase(value; _. cont(contvalue,contvalue); x. body(x)) |