Who Cites ioa? | |
ioa | Def ioa{i:l}() == Collection(dec())Collection(dec())Collection(rel())Collection(pre())Collection(eff())Collection(frame()) |
Thm* ioa{i:l}() Type{i'} | |
pred | Def Fmla == Collection(rel()) |
Thm* Fmla{i} Type{i'} | |
frame | Def frame() == LabelSimpleType(Label List) |
Thm* frame() Type | |
col | Def Collection(T) == TProp |
Thm* T:Type{i'}. Collection{i}(T) Type{i'} | |
eff | Def eff() == LabelLabelSimpleTypesmt() |
Thm* eff() Type | |
pre | Def pre() == LabelLabelrel() |
Thm* pre() Type | |
rel | Def rel() == relname()(Term List) |
Thm* rel() Type | |
dec | Def dec() == LabelSimpleType |
Thm* dec() Type | |
smt | Def smt() == LabelTermSimpleType |
Thm* smt() Type | |
relname | Def relname() == SimpleType+Label |
Thm* relname() Type | |
st | Def SimpleType == Tree(Label+Unit) |
Thm* SimpleType Type | |
term | Def Term == Tree(ts()) |
Thm* Term Type | |
ts | Def ts() == Label+Label+Label+Label+Label |
Thm* ts() Type | |
lbl | Def Label == {p:Pattern| ground_ptn(p) } |
Thm* Label Type | |
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 | |
tree | Def Tree(E) == rec(T.tree_con(E;T)) |
Thm* E:Type. Tree(E) Type | |
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_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]) |
case | Def Case(value) body == body(value,value) |
ptn_con | Def ptn_con(T) == Atom++Atom+(TT) |
Thm* T:Type. ptn_con(T) Type | |
tree_con | Def tree_con(E;T) == E+(TT) |
Thm* E,T:Type. tree_con(E;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)) |
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