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(5,6)=30 (5 State, 6 Symbol) UTM for "machine"Y

Symbol	StateA	State B	StateD	State C	StateD
x	x/X             1	x/Z            2	x/Z              2	x/X        1	y/y0
z	z/X             3	z/Z            4	z/Z              4	z/X         3	y/y0
xx	xx/X        1@1=1(x)	xx/Z     1@2=2(x)	xx/Z        2@2=2(x)	xx/X   2@1=1(x)	HALT
xz	xz/X        1@3=1(z)	xz/Z     1@4=2(z)	xz/Z        2@4=2(z)	xz/X   2@3=1(z)	HALT
zx	zx/X        3@1=3(x)	zx/Z     3@2=4(x)	zx/Z        4@2=4(x)	zx/X   4@1=3(x)	HALT
zz	zz/X        3@3=3(z)	zz/Z     3@4=4(z)	zz/Z        4@4=4(z)	zz/X   4@3=3(z)	HALT

 Basically, write symbol,move disturbance to X,Z and maintain universal state 

 

2 State,20 Symbol UTM

Symbol	A	A	A
a@b=ab	Replace	Print	Disturb
10	10	NIL	X
11	10	x	X
13	10	z	X
31	30	x	X
33	30	z	X
30	30	NIL	X
12	20	x	Z
14	20	z	Z
32	40	x	Z
34	40	z	Z
21	10	x	X
23	10	z	X
41	30	x	X
43	30	z	X
20	20	NIL	Z
22	20	x	Z
24	20	z	Z
42	40	x	Z
44	40	z	Z
40	40	NIL	Z

 

Caley Table with Added State 

		1 (X)	2 (Z)	3 (X)	4 (Z)
		N/State	N/State	N/State	N/State
1		1  A	2 B	1 A	2 B
2		1  C	2 D	1 C	2 D
3		3  A	4 B	3 A	4 B
4		3  C	4 D	3 C	4 D

 

Caley Table with added state

	1 (X)	2(X)	3(X)	4(Z)
1	1 A	2 B	1 A	2 B
2	1 C	2 D	1 C	2 D
3	3 A	4 B	3 A	4 B
4	3 C	4 D	3 C	4 D

 

Caley Table

	1	3	2	4
1	1A	1A	2B	2B
3	3A	3A	4B	4B
2	1C	1C	2D	2D
4	3C	3C	4D	4D

 

©Copyright 2007 Dr David McGrath. All rights reserved