begin
theorem Th1:
theorem Th2:
theorem Th3:
theorem
canceled;
theorem Th5:
Lm1:
for x, y being set st x in dom <*y*> holds
x = 1
Lm2:
for x, y, z being set holds
( not x in dom <*y,z*> or x = 1 or x = 2 )
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 Th25:
theorem Th26:
theorem Th27:
theorem Th28:
theorem Th29:
theorem Th30:
theorem Th31:
theorem Th32:
theorem Th33:
theorem Th34:
theorem Th35:
theorem Th36:
theorem Th37:
theorem Th38:
theorem Th39:
Lm4:
for l being Instruction-Location of SCM
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 ) = Next ) holds
NIC i,l = {(Next )}
Lm5:
for i being Instruction of SCM st ( for l being Instruction-Location of SCM holds NIC i,l = {(Next )} ) holds
JUMP i is empty
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:
theorem Th54:
theorem Th55:
theorem Th56:
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 Th57:
theorem Th58:
theorem Th59: