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At:
init-rule211 1. i : Id
2. T : Type
3. v : T 4. x : Id
5. w : World
6. FairFifo
7. FairFifo
8. i@0,x@0:Id.
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if eqof(IdDeq)(i@0,i) 8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if <<[x],x.T>
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,<[x],x.v>
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,>
8. vartype(i@0;x@0) r if deq-member(IdDeq;x@0;1of(1of(else fi))) 8. vartype(i@0;x@0) r if 2of(1of(if eqof(IdDeq)(i@0,i) 8. vartype(i@0;x@0) r if 2of(1of(if <<[x],x.T>,,<[x],x.v>,,,,,,>
8. vartype(i@0;x@0) r if 2of(1of(else fi))
8. vartype(i@0;x@0) r if (x@0)
8. vartype(i@0;x@0) r else Top fi
9. i@0:Id, a:Action(i@0).
9. isnull(a)
9. 9. (valtype(i@0;a) r if eqof(IdDeq)(i@0,i) <<[x],x.T>,,<[x],x.v>,,,,,,>
9. (valtype(i@0;a) r else fi.da(kind(a)))
10. l:IdLnk, tg:Id.
10. (w.M(l,tg)) r if eqof(IdDeq)(source(l),i) <<[x],x.T>,,<[x],x.v>,,,,,,>
10. (w.M(l,tg)) r else fi.da(rcv(l; tg))
11. i@0,x@0:Id.
11. deq-member(IdDeq;x@0;1of(1of(2of(2of(if eqof(IdDeq)(i@0,i) 11. deq-member(IdDeq;x@0;1of(1of(2of(2of(if <<[x],x.T>,,<[x],x.v>,,,,,,>
11. deq-member(IdDeq;x@0;1of(1of(2of(2of(else fi)))))
11. 11. s(i@0;0).x@0 11. =
11. 2of(1of(2of(2of(if eqof(IdDeq)(i@0,i) <<[x],x.T>,,<[x],x.v>,,,,,,>
11. 2of(1of(2of(2of(else fi))))
11. (x@0)
12. x@0:Id. (eqof(IdDeq)(x,x@0) false) s(i;0).x@0 = v 13. a:Action(i).
13. isnull(a) (valtype(i;a) r <<[x],x.T>,,<[x],x.v>,,,,,,>.da(kind(a)))
14. x@0:Id. vartype(i;x@0) r if eqof(IdDeq)(x,x@0) falseT else Top fi
15. vartype(i;x) r T 16. True s(i;0).x = v 17. x@0:Id.
17. deq-member(IdDeq;x@0;1of(1of(2of(2of(if eqof(IdDeq)(x,i) 17. deq-member(IdDeq;x@0;1of(1of(2of(2of(if <<[x],x.T>,,<[x],x.v>,,,,,,>
17. deq-member(IdDeq;x@0;1of(1of(2of(2of(else fi)))))
17. 17. s(x;0).x@0 17. =
17. 2of(1of(2of(2of(if eqof(IdDeq)(x,i) <<[x],x.T>,,<[x],x.v>,,,,,,>
17. 2of(1of(2of(2of(else fi))))
17. (x@0)
18. a:Action(x).
18. isnull(a)
18. 18. (valtype(x;a) r if eqof(IdDeq)(x,i) <<[x],x.T>,,<[x],x.v>,,,,,,>
18. (valtype(x;a) r else fi.da(kind(a)))
19. x@0:Id.
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if eqof(IdDeq)(x,i) 19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if <<[x],x.T>
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,<[x],x.v>
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(if ,>
19. vartype(x;x@0) r if deq-member(IdDeq;x@0;1of(1of(else fi))) 19. vartype(x;x@0) r if 2of(1of(if eqof(IdDeq)(x,i) 19. vartype(x;x@0) r if 2of(1of(if <<[x],x.T>,,<[x],x.v>,,,,,,>
19. vartype(x;x@0) r if 2of(1of(else fi))
19. vartype(x;x@0) r if (x@0)
19. vartype(x;x@0) r else Top fi
20. vartype(i;x) r T e:E. loc(e) = i Id first(e) (x when e) = vT
By:
Analyze 0 THEN DVar `e' THEN DVar `e' THEN Unfolds [`w-loc`;`w-when`] 0
THEN
Reduce 0
THEN
Analyze 0
THENA
(Auto THEN D_ES_Subtype)