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better-sends-rule1231211 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. D' : Dsys
9. d-single-sends(i; ds; da; k; l; f) D' 10. w : World
11. p : FairFifo
12. PossibleWorld(D';w)
13. x:Id. vartype(i;x) r ds(x)?Top
14. e:E. loc(e) = i (valtype(e) r ma-valtype(da; kind(e)))
15. e:E. isrcv(e) lnk(e) = l (valtype(e) r ma-valtype(da; kind(e)))
16. {m:Msg| source(mlnk(m)) = i } r Msg((l,tg. da(rcv(l; tg))?Top))
17. e:E.
17. loc(e) = i 17. 17. kind(e) = k sends(l;e) = tagged-messages(l;z.(z when e);val(e);f)
18. x:Id. vartype(i;x) r ds(x)?Top
19. e:E. loc(e) = i (valtype(e) r ma-valtype(da; kind(e)))
20. e:E. isrcv(e) lnk(e) = l (valtype(e) r ma-valtype(da; kind(e)))
21. e : E
22. loc(e) = i 23. kind(e) = k 24. valtype(e) r ma-valtype(da; kind(e))
25. sends(l;e) = tagged-messages(l;z.(z when e);val(e);f)
26. valtype(e) r ma-valtype(da; kind(e))
27. L :
27. n:||sends(l;e)||.
27. e':E. isrcv(e') & lnk(e') = l & sender(e') = e & index(e') = n 28. LL :
28. n:||sends(l;e)||{e':E
28. n:||sends(l;e)||{| isrcv(e')
28. n:||sends(l;e)||{| & lnk(e') = l & sender(e') = e & index(e') = n }
29. (n.1of(L(n))) = LL 30. e' : E
31. isrcv(e')
32. lnk(e') = l 33. sender(e') = e 34. index(e') ||sends(l;e)||
e' = LL(index(e'))
By:
GenConclAtAddr [3] THEN Analyze -2 THEN Unhide THEN ExRepD
35. v : E
36. isrcv(v)
37. lnk(v) = l 38. sender(v) = e E
39. index(v) = index(e')
40. LL(index(e'))
40. =
40. v 40. {e'@0:E
40. {| isrcv(e'@0)
40. {| & lnk(e'@0) = l & sender(e'@0) = e E & index(e'@0) = index(e') }
e' = v
5 steps
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