| Who Cites action effect? |
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action_effect | Def action_effect(a;es;fs) == < e.smt | e < e es | e.kind = a > > + < mk_smt(f.var, f.var, f.typ) | f < f fs |   a f.acts > > |
| | Thm* a:Label, es:Collection(eff()), fs:Collection(frame()). action_effect(a;es;fs) Collection(smt()) |
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frame_typ | Def t.typ == 1of(2of(t)) |
| | Thm* t:frame(). t.typ SimpleType |
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frame_var | Def t.var == 1of(t) |
| | Thm* t:frame(). t.var Label |
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tvar | Def l == tree_leaf(ts_var(l)) |
| | Thm* l:Label. l Term |
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mk_smt | Def mk_smt(lbl, term, typ) == < lbl,term,typ > |
| | Thm* lbl:Label, term:Term, typ:SimpleType. mk_smt(lbl, term, typ) smt() |
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frame_acts | Def t.acts == 2of(2of(t)) |
| | Thm* t:frame(). t.acts Label List |
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lbls_member | Def x ls == reduce( a,b. x = a  b;false ;ls) |
| | Thm* x:Label, ls:Label List. x ls  |
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bnot | Def  b == if b false else true fi |
| | Thm* b: .  b  |
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eff | Def eff() == Label Label SimpleType smt() |
| | Thm* eff() Type |
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smt | Def smt() == Label Term SimpleType |
| | Thm* smt() Type |
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frame | Def frame() == Label SimpleType (Label List) |
| | Thm* frame() Type |
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st | Def SimpleType == Tree(Label+Unit) |
| | Thm* SimpleType Type |
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term | Def Term == Tree(ts()) |
| | Thm* Term Type |
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ts | Def ts() == Label+Label+Label+Label+Label |
| | Thm* ts() Type |
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lbl | Def Label == {p:Pattern| ground_ptn(p) } |
| | Thm* Label Type |
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assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
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col_filter | Def < x c | P(x) > (x) == x c & P(x) |
| | Thm* T:Type, c:Collection(T), Q:(T Prop). < i c | Q(i) > Collection(T) |
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col_map | Def < f(x) | x c > (y) == x:T. x c & y = f(x) T' |
| | Thm* T,T':Type, f:(T T'), c:Collection(T). < f(x) | x c > Collection(T') |
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eff_smt | Def t.smt == 2of(2of(2of(t))) |
| | Thm* t:eff(). t.smt smt() |
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eff_kind | Def t.kind == 1of(t) |
| | Thm* t:eff(). t.kind 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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col_add | Def (a + b)(x) == x a x b |
| | Thm* T:Type, a,b:Collection(T). (a + b) Collection(T) |
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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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ts_var | Def ts_var(x) == inl(x) |
| | Thm* x:Label. ts_var(x) ts() |
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tree_leaf | Def tree_leaf(x) == inl(x) |
| | Thm* E,T:Type, x:E. tree_leaf(x) tree_con(E;T) |
| | Thm* E:Type, x:E. tree_leaf(x) Tree(E) |
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bor | Def p  q == if p true else q fi |
| | Thm* p,q: . (p  q)  |
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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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col_member | Def x c == c(x) |
| | Thm* T:Type, x:T, c:Collection(T). x c Prop |
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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)  |
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case_default | Def Default = > body(value,value) == body |
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band | Def p q == if p q else false fi |
| | Thm* p,q: . (p q)  |
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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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tree | Def Tree(E) == rec(T.tree_con(E;T)) |
| | Thm* E:Type. Tree(E) Type |
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ptn | Def Pattern == rec(T.ptn_con(T)) |
| | Thm* Pattern Type |
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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)) |
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tree_con | Def tree_con(E;T) == E+(T T) |
| | Thm* E,T:Type. tree_con(E;T) Type |
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ptn_con | Def ptn_con(T) == Atom+ +Atom+(T T) |
| | Thm* T:Type. ptn_con(T) Type |