begin
theorem Th1:
theorem
theorem Th3:
theorem
canceled;
theorem Th5:
theorem
canceled;
theorem Lm3:
for
T being
InsType of
SCM holds
(
T = 0 or
T = 1 or
T = 2 or
T = 3 or
T = 4 or
T = 5 or
T = 6 or
T = 7 or
T = 8 )
theorem
canceled;
theorem Th7:
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem Th16:
theorem Th17:
theorem Th18:
theorem Th19:
theorem Th20:
theorem Th21:
theorem Th22:
theorem Th23:
theorem Th24:
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem Th35:
theorem Th36:
theorem
canceled;
theorem Th38:
Lm4:
for l being Element of NAT
for i being Instruction of SCM st ( for s being State of SCM st IC s = l & s . l = i holds
(Exec i,s) . (IC SCM ) = succ (IC s) ) holds
NIC i,l = {(succ l)}
Lm5:
for i being Instruction of SCM st ( for l being Element of NAT holds NIC i,l = {(succ l)} ) holds
JUMP i is empty
theorem
canceled;
theorem Th40:
theorem Th41:
theorem Th42:
theorem Th43:
theorem Th44:
theorem Th45:
theorem Th46:
theorem Th47:
theorem Th48:
theorem Th49:
theorem Th50:
theorem Th51:
theorem Th52:
theorem Th53:
Lm6:
dl. 0 <> dl. 1
by AMI_3:52;
registration
let a,
b be
Data-Location ;
cluster a := b -> non
jump-only sequential ;
coherence
( not a := b is jump-only & a := b is sequential )
cluster AddTo a,
b -> non
jump-only sequential ;
coherence
( not AddTo a,b is jump-only & AddTo a,b is sequential )
cluster SubFrom a,
b -> non
jump-only sequential ;
coherence
( not SubFrom a,b is jump-only & SubFrom a,b is sequential )
cluster MultBy a,
b -> non
jump-only sequential ;
coherence
( not MultBy a,b is jump-only & MultBy a,b is sequential )
cluster Divide a,
b -> non
jump-only sequential ;
coherence
( not Divide a,b is jump-only & Divide a,b is sequential )
end;
theorem
canceled;
theorem
canceled;
theorem
canceled;
theorem Th57:
theorem Th58:
theorem Th59: