| Who Cites term mng2? |
|
term_mng2 | Def [[t]] e s s' a tr
== iterate(statevar x- > s.x
statevar x'- > s'.x
funsymbol x- > e.x
freevar x- > a
trace(P)- > tr.P
x(y)- > x(y)
over t) |
|
tproj | Def tre.P == tre.trace | tre.proj(P) |
| | Thm* d:Decl, tre:trace_env(d), P:Label. tre.P ( d) List |
|
r_select | Def r.l == r(l) |
| | Thm* d:Decl, r:{d}, l:Label. r.l d(l) |
|
term_iter | Def iterate(statevar x- > v(x)
statevar x''- > v'(x')
funsymbol op- > opr(op)
freevar f- > fvar(f)
trace(tr)- > trace(tr)
a(b)- > comb(a;b)
over t)
== term_iterate( x.v(x);
x'.v'(x');
op.opr(op);
f.fvar(f);
tr.trace(tr);
a,b. comb(a;b);
t) |
| | Thm* A:Type, v,v',opr,fvar,trace:(Label A), comb:(A A A), t:Term.
iterate(statevar x- > v(x)
statevar x''- > v'(x')
funsymbol op- > opr(op)
freevar f- > fvar(f)
trace(tr)- > trace(tr)
a(b)- > comb(a,b)
over t)
A |
|
trace_env_proj | Def t.proj == 2of(t) |
| | Thm* d:Decl, t:trace_env(d). t.proj Label Label   |
|
trace_env_trace | Def t.trace == 1of(t) |
| | Thm* d:Decl, t:trace_env(d). t.trace ( d) List |
|
trace_projection | Def tr | P == filter( x.P(kind(x));tr) |
| | Thm* d:Decl, tr:( d) List, P:(Label  ). tr | P ( d) List |
|
term_iterate | Def term_iterate(v;p;op;f;tr;a;t) == t_iterate( x.ts_case(x)var(a)= > v(a)var'(b)= > p(b)opr(c)= > op(c)fvar(d)= > f(d)trace(P)= > tr(P)end_ts_case ;a;t) |
| | Thm* A:Type, v,op,f,p,tr:(Label A), a:(A A A), t:Term. term_iterate(v;p;op;f;tr;a;t) A |
|
pi2 | Def 2of(t) == t.2 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 2of(p) B(1of(p)) |
|
kind | Def kind(a) == 1of(a) |
| | Thm* d:Decl, a:( d). kind(a) Label |
| | Thm* M:sm{i:l}(), a:M.action. kind(a) Label & kind(a) Pattern |
|
pi1 | Def 1of(t) == t.1 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 1of(p) A |
|
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 |
|
ts_case | Def ts_case(x)var(a)= > v(a)var'(b)= > p(b)opr(f)= > op(f)fvar(x)= > f(x)trace(P)= > t(P)end_ts_case == Case(x) Case ts_var(a) = > v(a) Case ts_pvar(b) = > p(b) Case ts_op(f) = > op(f) Case ts_fvar(x) = > f(x) Case ts_trace(P) = > t(P) Default = >  |
| | Thm* A:Type, v,op,f,p,t:(Label A), x:ts(). ts_case(x)var(a)= > v(a)var'(b)= > p(b)opr(f)= > op(f)fvar(y)= > f(y)trace(P)= > t(P)end_ts_case A |
|
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 |
|
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 |
|
case_default | Def Default = > body(value,value) == body |
|
case_ts_trace | Def Case ts_trace(x) = > body(x) cont(x1,z) == ( x1.inr(x2) = > ( x1.inr(x2) = > ( x1.inr(x2) = > ( x1.inr(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
|
case_ts_fvar | Def Case ts_fvar(x) = > body(x) cont(x1,z) == ( x1.inr(x2) = > ( 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))([x2 / tl(x1)]) cont(hd(x1),z))([x1]) |
|
case_ts_op | Def Case ts_op(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_ts_pvar | Def Case ts_pvar(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_ts_var | Def Case ts_var(x) = > body(x) cont(x1,z) == InjCase(x1; x2. body(x2); _. cont(z,z)) |
|
case | Def Case(value) body == body(value,value) |
|
case_tree_leaf | Def Case tree_leaf(x) = > body(x) cont(x1,z) == InjCase(x1; x2. body(x2); _. cont(z,z)) |
|
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)) |
|
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_inr | Def inr(x) = > body(x) cont(value,contvalue) == InjCase(value; _. cont(contvalue,contvalue); x. body(x)) |
|
case_inl | Def inl(x) = > body(x) cont(value,contvalue) == InjCase(value; x. body(x); _. cont(contvalue,contvalue)) |