| | Who Cites fusion condition? |
|
| fusion_condition | Def I fuses P ==  tr:Trace(E). (m:Label. P( < tr > _m))   I(tr) P(tr) |
| | | Thm* E:TaggedEventStruct, I,P:TraceProperty(E). (I fuses P)  Prop |
|
| tag_sublist | Def < tr > _tg == filter( e.tag(E)(e) = tg;tr) |
| | | Thm* E:TaggedEventStruct, L:|E| List, t:Label. < L > _t |E| List |
|
| lbl | Def Label == {p:Pattern|  ground_ptn(p) } |
| | | Thm* Label Type |
|
| str_trace | Def Trace(E) == |E| List |
|
| event_tag | Def tag(E) == 1of(2of(2of(2of(2of(2of(E)))))) |
| | | Thm* E:TaggedEventStruct. tag(E) |E|  Label |
|
| eq_lbl | Def l1 = l2 == Case(l1) Case ptn_atom(x) = > Case(l2) Case ptn_atom(y) = > x= yAtom 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=yAtom 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  |
|
| 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 |
|
| ground_ptn | Def ground_ptn(p) == Case(p) Case ptn_var(v) = > false Case ptn_pr( < x, y > ) = > ground_ptn(x)ground_ptn(y) Default = > true (recursive) |
| | | Thm* p:Pattern. ground_ptn(p) |
|
| assert | Def b == if b True else False fi |
| | | Thm* b:. b Prop |
|
| ptn | Def Pattern == rec(T.ptn_con(T)) |
| | | Thm* Pattern Type |
|
| carrier | Def |S| == 1of(S) |
| | | Thm* S:Structure. |S| Type |
|
| pi2 | Def 2of(t) == t.2 |
| | | Thm* A:Type, B:(AType), p:(a:A B(a)). 2of(p) B(1of(p)) |
|
| pi1 | Def 1of(t) == t.1 |
| | | Thm* A:Type, B:(AType), p:(a:AB(a)). 1of(p) A |
|
| case_default | Def Default = > body(value,value) == body |
|
| band | Def pq == if p q else false fi |
| | | Thm* p,q:. (pq) |
|
| 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)))) |
|
| case | Def Case(value) body == body(value,value) |
|
| eq_atom | Def x=yAtom == if x=yAtomtrue; false fi |
| | | Thm* x,y:Atom. x=yAtom |
|
| 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]) |
|
| eq_int | Def i=j == if i=j true ; false fi |
| | | Thm* i,j: . (i=j) |
|
| 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]) |
|
| case_ptn_atom | Def Case ptn_atom(x) = > body(x) cont(x1,z) == InjCase(x1; x2. body(x2); _. cont(z,z)) |
|
| 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:(ABB), k:B, as:A List. reduce(f;k;as) B |
|
| ptn_con | Def ptn_con(T) == Atom++Atom+(TT) |
| | | Thm* T:Type. ptn_con(T) Type |
|
| 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 |
|
| tl | Def tl(l) == Case of l; nil nil ; h.t t |
| | | Thm* A:Type, l:A List. tl(l) A List |
|
| case_inl | Def inl(x) = > body(x) cont(value,contvalue) == InjCase(value; x. body(x); _. cont(contvalue,contvalue)) |
|
| case_inr | Def inr(x) = > body(x) cont(value,contvalue) == InjCase(value; _. cont(contvalue,contvalue); x. body(x)) |
