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set show timing off .
set show advisories off .
***
*** Test the metaXapply() descent function.
***
fmod TEST is
pr META-LEVEL .
op m : -> Module .
eq m =
(mod 'FOO is
protecting 'BOOL .
sorts 'Foo ; 'Bar .
subsort 'Bar < 'Foo .
op 'a : nil -> 'Foo [none] .
op 'b : nil -> 'Foo [none] .
op 'c : nil -> 'Foo [none] .
op 'f : 'Foo 'Foo -> 'Foo [assoc comm] .
op 'g : 'Foo 'Foo -> 'Foo [assoc comm] .
none
none
rl 'f['X:Foo, 'Y:Foo] => 'X:Foo [label('k)] .
rl 'a.Foo => 'c.Foo [label('k)] .
endm) .
endfm
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, 100, 0) .
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, 100, 1) .
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, 100, 2) .
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, 100, 3) .
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, unbounded, 0) .
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, unbounded, 1) .
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, unbounded, 2) .
red metaXapply(m, 'f['a.Foo, 'b.Foo], 'k, none, 0, unbounded, 3) .
fmod TEST2 is
pr META-LEVEL .
op m : -> Module .
eq m =
(mod 'FOO is
protecting 'BOOL .
sorts 'Foo ; 'Bar .
subsort 'Bar < 'Foo .
op 'a : nil -> 'Foo [none] .
op 'b : nil -> 'Foo [none] .
op 'c : nil -> 'Foo [none] .
op 'f : 'Foo 'Foo -> 'Foo [assoc comm] .
op 'g : 'Foo 'Foo -> 'Foo [assoc comm] .
none
none
rl 'f['X:Foo, 'Y:Foo] => 'X:Foo [label('k)] .
rl 'a.Foo => 'c.Foo [label('k)] .
endm) .
endfm
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'k, none, 0, 100, 0) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'k, none, 0, 100, 1) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'k, none, 0, 100, 2) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'k, none, 0, 100, 3) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'k, none, 0, 100, 4) .
fmod TEST3 is
pr META-LEVEL .
op m : -> Module .
eq m =
(mod 'FOO is
protecting 'BOOL .
sorts 'Foo ; 'Bar .
subsort 'Bar < 'Foo .
op 'a : nil -> 'Foo [none] .
op 'b : nil -> 'Foo [none] .
op 'c : nil -> 'Foo [none] .
op 'f : 'Foo 'Foo -> 'Foo [assoc comm] .
op 'g : 'Foo 'Foo -> 'Foo [assoc comm] .
none
none
rl 'f['X:Foo, 'Y:Foo] => 'X:Foo [label('k)] .
rl 'a.Foo => 'f['c.Foo, 'c.Foo] [label('l)] .
endm) .
endfm
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'l, none, 0, 100, 0) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'l, none, 0, 100, 1) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'l, none, 0, 100, 0) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'l, none, 0, 100, 2) .
red metaXapply(m, 'g['f['a.Foo, 'b.Foo], 'a.Foo], 'l, none, 0, 100, 0) .
fmod ALL-ONE-STEP-REWRITES is
including META-LEVEL .
sort TermSet .
subsort Term < TermSet .
op _|_ : TermSet TermSet -> TermSet [assoc comm id: mt ctor] .
op mt : -> TermSet [ctor] .
var T : Term . var M : Module .
var L : Qid . var N : Nat .
op findAllRews : Module Term Qid -> TermSet .
op findAllRewsAux : Module Term Qid Nat -> TermSet .
eq findAllRews(M, T, L) = findAllRewsAux(M, T, L, 0) .
eq findAllRewsAux(M, T, L, N) =
if metaXapply(M, T, L, none, 0, unbounded, N) :: Result4Tuple then
(getTerm(metaXapply(M, T, L, none, 0, unbounded, N)) |
findAllRewsAux(M, T, L, N + 1))
else
mt
fi .
op m : -> Module .
eq m =
(mod 'FOO is
protecting 'BOOL .
sorts 'Foo ; 'Bar .
subsort 'Bar < 'Foo .
op 'a : nil -> 'Foo [none] .
op 'b : nil -> 'Foo [none] .
op 'c : nil -> 'Foo [none] .
op 'f : 'Foo 'Foo -> 'Foo [assoc comm] .
none
none
rl 'f['X:Foo, 'Y:Foo] => 'X:Foo [label('k)] .
rl 'a.Foo => 'c.Foo [label('k)] .
endm) .
endfm
red findAllRews(m, 'f['a.Foo, 'b.Foo], 'k) .
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