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At:
sends-rule22111 1. i : Id
2. k : Knd
3. l : IdLnk
4. ds : x:Id fp-> Type
5. da : a:Knd fp-> Type
6. f : (tg:IdState(ds)ma-valtype(da; k)(da(rcv(l; tg))?Void List)) List
7. source(l) = i 8. w : World
9. p : FairFifo
10. FairFifo
11. l@0:IdLnk, tg:Id.
11. (w.M(l@0,tg)) r if eqof(IdDeq)(source(l@0),i) 11. (w.M(l@0,tg)) r if <ds,da,,,,<[<k,l>],x.f>,,,>
11. (w.M(l@0,tg)) r else fi.da(rcv(l@0; tg))
12. (eqof(IdDeq)(i,i)) ~ true 13. (x:Id. vartype(i;x) r ds(x)?Top)
13. & (e:E. loc(e) = i (valtype(e) r ma-valtype(da; kind(e))))
13. & (e:E. isrcv(e) lnk(e) = l (valtype(e) r ma-valtype(da; kind(e))))
13. & ({m:Msg| source(mlnk(m)) = i } r Msg((l,tg. da(rcv(l; tg))?Top)))
14. t:.
14. isnull(a(i;t))
14. 14. (islocal(kind(a(i;t)))
14. ( 14. (deq-member(IdDeq;act(kind(a(i;t)));1of())
14. ( 14. (2of()(act(kind(a(i;t))),x.s(i;t).x,val(a(i;t))))
14. & (x:Id.
14. & (deq-member(product-deq(Knd;Id;KindDeq;IdDeq);<kind(a(i;t)),x>;1of())
14. & ( 14. & (s(i;t+1).x = 2of()(<kind(a(i;t)),x>,x.s(i;t).x,val(a(i;t))))
14. & (l@0:IdLnk.
14. & ((eqof(product-deq(Knd;IdLnk;KindDeq;IdLnkDeq))(<k,l>,<kind(a(i;t)),l@0>)
14. & (( false)
14. & ( 14. & (withlnk(l@0;m(i;t))
14. & (=
14. & (if source(l@0) = i 14. & (if concat(map(tgf.map(x.<1of(tgf),x>;2of(tgf)
14. & (if concat(map(tgf.map(x.<1of(tgf),x>;((x.s(i;t).x)
14. & (if concat(map(tgf.map(x.<1of(tgf),x>;,val(a(i;t))));f))
14. & (else nil fi)
14. & (x:Id.
14. & ((deq-member(IdDeq;x;1of()) deq-member(KindDeq;kind(a(i;t));2of()(x)))
14. & ( 14. & (s(i;t).x = s(i;t+1).x)
14. & (l@0:IdLnk, tg:Id.
14. & ((deq-member(product-deq(IdLnk;Id;IdLnkDeq;IdDeq);<l@0,tg>;1of())
14. & (( 14. & ((deq-member(KindDeq;kind(a(i;t));2of()(<l@0,tg>)))
14. & ( 14. & (w-tagged(tg; onlnk(l@0;m(i;t))) = nil)
15. a:Action(i). isnull(a) (valtype(i;a) r da(kind(a))?Top)
16. x:Id.
16. vartype(i;x) r if deq-member(IdDeq;x;1of(ds)) 2of(ds)(x) else Top fi
IdDeq EqDecider(Id)
By:
SubsumeC EqDecider(Id)
THEN
Try
(BackThru Thm* strong-subtype(A;B) (EqDecider(B) r EqDecider(A))
(THEN
(All (Unfold `dstype`)
(THEN
(All Reduce
(THEN
(Trivial)
THEN
AllHyps (i.Unfold_Wld i THEN Reduce 0 THEN Complete Auto)
Generated subgoals:
None
About:
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html