| Who Cites sts mng? |
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sts_mng | Def [[sts]] rho == x:{x:SimpleType| x sts }. [[x]] rho |
| | Thm* sts:Collection(SimpleType), rho:Decl. [[sts]] rho Type |
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st_mng |
Def [[s]] rho == t_iterate(st_lift(rho); x,y. x y;s) |
| | Thm* rho:Decl, s:SimpleType. [[s]] rho Type |
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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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st |
Def SimpleType == Tree(Label+Unit) |
| | Thm* SimpleType Type |
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st_lift |
Def st_lift(rho)(x) == InjCase(x; x'. rho(x'); a. Top) |
| | Thm* rho:(Label Type). st_lift(rho) (Label+Unit) Type |
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t_iterate |
Def t_iterate(l;n;t)
== Case(t)
Case x;y = >
n(t_iterate(l;n;x),t_iterate(l;n;y))
Case tree_leaf(x) = >
l(x)
Default = > True
(recursive) |
| |
Thm* E,A:Type, l:(E A), n:(A A A), t:Tree(E). t_iterate(l;n;t) A |
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lbl |
Def Label == {p:Pattern| ground_ptn(p) } |
| | Thm* Label Type |
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tree |
Def Tree(E) == rec(T.tree_con(E;T)) |
| |
Thm* E:Type. Tree(E) Type |
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top |
Def Top == Void given Void |
| |
Thm* Top Type |
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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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case_tree_leaf |
Def Case tree_leaf(x) = > body(x) cont(x1,z)
== InjCase(x1; x2. body(x2); _. cont(z,z)) |
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case_node |
Def Case x;y = > body(x;y) cont(x1,z)
== InjCase(x1; _. cont(z,z); x2. x2/x3,x2@0. body(x3;x2@0)) |
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case |
Def Case(value) body == body(value,value) |
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assert |
Def b == if b True else False fi |
| | Thm* b: . b Prop |
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ptn |
Def Pattern == rec(T.ptn_con(T)) |
| |
Thm* Pattern Type |
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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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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_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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ptn_con |
Def ptn_con(T) == Atom+ +Atom+(T T) |
| | Thm* T:Type. ptn_con(T) 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)) |