:: SCMPDS_3 semantic presentation
theorem Th1: :: SCMPDS_3:1
for
n being
natural number holds
( not
n <= 13 or
n = 0 or
n = 1 or
n = 2 or
n = 3 or
n = 4 or
n = 5 or
n = 6 or
n = 7 or
n = 8 or
n = 9 or
n = 10 or
n = 11 or
n = 12 or
n = 13 )
theorem Th2: :: SCMPDS_3:2
theorem Th3: :: SCMPDS_3:3
theorem Th4: :: SCMPDS_3:4
theorem Th5: :: SCMPDS_3:5
theorem Th6: :: SCMPDS_3:6
theorem Th7: :: SCMPDS_3:7
theorem Th8: :: SCMPDS_3:8
theorem Th9: :: SCMPDS_3:9
theorem Th10: :: SCMPDS_3:10
theorem Th11: :: SCMPDS_3:11
theorem Th12: :: SCMPDS_3:12
theorem Th13: :: SCMPDS_3:13
theorem Th14: :: SCMPDS_3:14
theorem Th15: :: SCMPDS_3:15
theorem Th16: :: SCMPDS_3:16
theorem Th17: :: SCMPDS_3:17
theorem Th18: :: SCMPDS_3:18
theorem Th19: :: SCMPDS_3:19
theorem Th20: :: SCMPDS_3:20
theorem Th21: :: SCMPDS_3:21
theorem Th22: :: SCMPDS_3:22
theorem Th23: :: SCMPDS_3:23
theorem Th24: :: SCMPDS_3:24
theorem Th25: :: SCMPDS_3:25
theorem Th26: :: SCMPDS_3:26
theorem Th27: :: SCMPDS_3:27
for
p being
autonomic non
programmed FinPartState of
SCMPDS for
s1,
s2 being
State of
SCMPDS st
p c= s1 &
p c= s2 holds
for
i being
Element of
NAT for
k1,
k2 being
Integer for
a,
b being
Int_position st
CurInstr ((Computation s1) . i) = MultBy a,
k1,
b,
k2 &
a in dom p &
DataLoc (((Computation s1) . i) . a),
k1 in dom p holds
(((Computation s1) . i) . (DataLoc (((Computation s1) . i) . a),k1)) * (((Computation s1) . i) . (DataLoc (((Computation s1) . i) . b),k2)) = (((Computation s2) . i) . (DataLoc (((Computation s2) . i) . a),k1)) * (((Computation s2) . i) . (DataLoc (((Computation s2) . i) . b),k2))
theorem Th28: :: SCMPDS_3:28
theorem Th29: :: SCMPDS_3:29
theorem Th30: :: SCMPDS_3:30
:: deftheorem Def1 SCMPDS_3:def 1 :
canceled;
:: deftheorem Def2 defines inspos SCMPDS_3:def 2 :
theorem Th31: :: SCMPDS_3:31
theorem Th32: :: SCMPDS_3:32
:: deftheorem Def3 defines + SCMPDS_3:def 3 :
:: deftheorem Def4 defines -' SCMPDS_3:def 4 :
theorem Th33: :: SCMPDS_3:33
theorem Th34: :: SCMPDS_3:34
theorem Th35: :: SCMPDS_3:35
theorem Th36: :: SCMPDS_3:36
:: deftheorem Def5 defines initial SCMPDS_3:def 5 :
:: deftheorem Def6 defines SCMPDS-Stop SCMPDS_3:def 6 :
:: deftheorem Def7 defines Shift SCMPDS_3:def 7 :
theorem Th37: :: SCMPDS_3:37
theorem Th38: :: SCMPDS_3:38
theorem Th39: :: SCMPDS_3:39
theorem Th40: :: SCMPDS_3:40
theorem Th41: :: SCMPDS_3:41