:: RELOC semantic presentation
theorem :: RELOC:1
canceled;
theorem Th2: :: RELOC:2
theorem Th3: :: RELOC:3
:: deftheorem RELOC:def 1 :
canceled;
:: deftheorem RELOC:def 2 :
canceled;
:: deftheorem Def3 defines IncAddr RELOC:def 3 :
theorem :: RELOC:4
theorem Th5: :: RELOC:5
theorem Th6: :: RELOC:6
theorem Th7: :: RELOC:7
theorem Th8: :: RELOC:8
theorem Th9: :: RELOC:9
theorem Th10: :: RELOC:10
theorem Th11: :: RELOC:11
theorem Th12: :: RELOC:12
theorem Th13: :: RELOC:13
theorem Th14: :: RELOC:14
theorem :: RELOC:15
canceled;
theorem :: RELOC:16
canceled;
theorem :: RELOC:17
canceled;
definition
canceled;let p be
programmed FinPartState of
SCM ;
let k be
Element of
NAT ;
func IncAddr p,
k -> programmed FinPartState of
SCM means :
Def5:
:: RELOC:def 5
(
dom it = dom p & ( for
m being
Element of
NAT st
m in dom p holds
it . m = IncAddr (pi p,m),
k ) );
existence
ex b1 being programmed FinPartState of SCM st
( dom b1 = dom p & ( for m being Element of NAT st m in dom p holds
b1 . m = IncAddr (pi p,m),k ) )
uniqueness
for b1, b2 being programmed FinPartState of SCM st dom b1 = dom p & ( for m being Element of NAT st m in dom p holds
b1 . m = IncAddr (pi p,m),k ) & dom b2 = dom p & ( for m being Element of NAT st m in dom p holds
b2 . m = IncAddr (pi p,m),k ) holds
b1 = b2
end;
:: deftheorem RELOC:def 4 :
canceled;
:: deftheorem Def5 defines IncAddr RELOC:def 5 :
theorem :: RELOC:18
theorem Th19: :: RELOC:19
:: deftheorem defines Relocated RELOC:def 6 :
theorem :: RELOC:20
theorem Th21: :: RELOC:21
theorem Th22: :: RELOC:22
theorem Th23: :: RELOC:23
theorem Th24: :: RELOC:24
theorem Th25: :: RELOC:25
theorem Th26: :: RELOC:26
theorem Th27: :: RELOC:27
theorem Th28: :: RELOC:28
theorem Th29: :: RELOC:29
theorem Th30: :: RELOC:30
theorem Th31: :: RELOC:31
theorem Th32: :: RELOC:32
theorem :: RELOC:33
theorem Th34: :: RELOC:34
for
k being
Element of
NAT for
p being
autonomic FinPartState of
SCM for
s1,
s2,
s3 being
State of
SCM st
IC SCM in dom p &
p c= s1 &
Relocated p,
k c= s2 &
s3 = s1 +* (s2 | SCM-Data-Loc ) holds
for
i being
Element of
NAT holds
(
(IC (Computation s1,i)) + k = IC (Computation s2,i) &
IncAddr (CurInstr (Computation s1,i)),
k = CurInstr (Computation s2,i) &
(Computation s1,i) | (dom (DataPart p)) = (Computation s2,i) | (dom (DataPart (Relocated p,k))) &
(Computation s3,i) | SCM-Data-Loc = (Computation s2,i) | SCM-Data-Loc )
theorem Th35: :: RELOC:35
theorem Th36: :: RELOC:36
theorem Th37: :: RELOC:37
theorem Th38: :: RELOC:38
theorem Th39: :: RELOC:39
theorem :: RELOC:40