/
UTM-with-report.rkt
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UTM-with-report.rkt
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#lang racket
(require racket "make-TM.rkt")
(define simplified-rules
'(( 0 1 c L R S B
m0 m1 mc mL mR mS)
(A (R R R R R ----- -----
----- ----- (B R) ----- ----- -----))
(B (R R R R R ----- -----
(C0 L) (C1 L) ----- ----- ----- (CB L)))
(CB (L L L L L ----- -----
----- ----- (DB c R) ----- ----- -----))
(C0 (L L L L L ----- -----
----- ----- (D0 c R) ----- ----- -----))
(C1 (L L L L L ----- -----
----- ----- (D1 c R) ----- ----- -----))
(DB ((V L) (E m1 L) ----- ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(D0 (R R (DB R) R R ----- -----
----- ----- ----- ----- ----- -----))
(D1 (R R (D0 R) R R ----- -----
----- ----- ----- ----- ----- -----))
(E (L L (F L) L L ----- -----
----- ----- ----- ----- ----- -----))
(F ((E L) (E L) (G L) (E L) (E L) ----- -----
----- ----- ----- ----- ----- -----))
(G ((E L) (E L) (H R) (E L) (E L) ----- -----
----- ----- ----- ----- ----- -----))
(H (----- ----- (I R) ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(I (----- ----- (J mc R) ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(J (R R R R R ----- -----
----- (KL 1 R) ----- ----- ----- -----))
(KL (----- (ML m1 L) ----- (TL R) (TR R) ----- -----
----- ----- ----- ----- ----- -----))
(ML (L L L L L ----- -----
----- ----- (NL c R) ----- ----- -----))
(NL (R R (PL R) R R ----- -----
----- (NR R) ----- ----- ----- -----))
(PL ((NL R) (NL R) (SL mc R) (NL R) (NL R) ----- -----
----- (NR R) ----- ----- ----- -----))
(SL (R R R R R ----- -----
----- (KL 1 R) ----- ----- ----- -----))
(KR (----- (MR m1 R) ----- (TL R) (TR R) ----- -----
----- ----- ----- ----- ----- -----))
(MR (R R R R R ----- -----
----- ----- (NR c R) ----- ----- -----))
(NR (R R (PR R) R R ----- -----
----- ----- ----- ----- ----- -----))
(PR ((NR R) (NR R) (SR mc L) (NR R) (NR R) ----- -----
----- ----- ----- ----- ----- -----))
(SR (L L L L L ----- -----
----- (KR 1 R) ----- ----- ----- -----))
(TL ((TL0 R) (TL1 R) ----- ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(TR ((TR0 R) (TR1 R) ----- ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(TL0 (R R R R R ----- -----
(U 0 L) (U 0 L) R ----- ----- (U 0 L)))
(TL1 (R R R R R ----- -----
(U 1 L) (U 1 L) R ----- ----- (U 1 L)))
(TR0 (R R R R R ----- -----
(U 0 R) (U 0 R) R ----- ----- (U 0 R)))
(TR1 (R R R R R ----- -----
(U 1 R) (U 1 R) R ----- ----- (U 1 R)))
(U ((C0 m0 L) (C1 m1 L) (Uc R) ----- ----- (CB mS L) (CB mS L)
----- ----- ----- ----- ----- -----))
(Uc ((U0 mS R) (U1 mS R) ----- ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(U0 ((U0 R) (U1 0 R) ----- ----- ----- (UB 0 L) (UB 0 L)
----- ----- ----- ----- ----- -----))
(U1 ((U0 1 R) (U1 R) ----- ----- ----- (UB 1 L) (UB 1 L)
----- ----- ----- ----- ----- -----))
(UB (L L ----- ----- ----- ----- -----
----- ----- ----- ----- ----- (CB L)))
(V (L L (W L) L L ----- -----
----- ----- ----- ----- ----- -----))
(W ((V L) (V L) (X1 R) (V L) (V L) ----- -----
----- ----- ----- ----- ----- -----))
(X1 (----- ----- (X2 R) ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(X2 ((X3 R) ----- ----- ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(X3 (----- ----- (X4 R) ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(X4 ((X5 R) ----- ----- ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(X5 (----- ----- (X6 R) ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(X6 ((ZR R) ----- ----- ----- ----- ----- -----
----- ----- ----- ----- ----- -----))
(ZR (R R R R R (ZL L) (ZL L)
R R R R R (ZL S L)))
(ZL (L L (ZS S L) ----- ----- ----- -----
(ZL 0 L) (ZL 1 L) (ZS S L) ----- ----- -----))
(ZS ((ZS S L) (ZS S L) (ZS S L) (ZS S L) (ZS S L) (Y L) (Y L)
(ZS S L) (ZS S L) (ZS S L) (ZS S L) (ZS S L) (Y S L)))
))
(define symbols (car simplified-rules))
(define rules
(for/fold ((r '()))
((rule (in-list (cdr simplified-rules))))
(define old-state (car rule))
(define rules
(for/list
((rule (in-list (cadr rule)))
(old-symbol (in-list symbols))
#:when (not (equal? rule '-----)))
(case rule
((R) (list (list old-state old-symbol) (list old-state old-symbol) 'R))
((L) (list (list old-state old-symbol) (list old-state old-symbol) 'L))
(else
(define-values (new-state new-symbol move)
(cond
((= (length rule) 2) (values (car rule) old-symbol (cadr rule)))
(else (apply values rule))))
(list (list old-state old-symbol) (list new-state new-symbol) move)))))
(append r rules)))
(define UTM
(make-TM
'A '(Y) 'B 'S '_ rules #:name 'UTM))
(define input
'(c c mc
0 c 0 c 1 1 R 0
c c
1 1 1 L 1 c 1 1 1 L 1 c 1 1 R 1
c c
1 1 1 1 R 0 c 1 1 1 1 R 0 c 1 1 1 L 1
c c
0 c 0 c 0
c c c
m1 1 1))
(define TM
(make-TM 1 '(Y) 'B 'S '_
'( ((1 1) (2 0) R)
((2 B) (3 1) L) ((2 0) (3 1) L) ((2 1) (2 1) R)
((3 B) (Y 0) R) ((3 0) (Y 0) R) ((3 1) (3 1) L))))
(UTM input #:report 'short)
(time (UTM input))
(TM '(1 1 1))
(define BB3
(make-TM 1 '(Y) 'B 'S '_
'(((1 _) (3 1) R)
((1 1) (1 1) R)
((2 _) (1 1) R)
((2 1) (3 1) L)
((3 _) (2 1) L)
((3 1) (Y 1) R))))
(define encoded-BB3+data
'(c c mc 1 1 1 R 1 c
1 1 1 R 1 c
1 R 1 c c
1 R 1 c
1 R 1 c
1 1 1 L 1 c c
1 1 L 1 c
1 1 L 1 c
1 1 1 1 R 1 c c
0 c 0 c 0 c c c mS))
(UTM encoded-BB3+data #:report 'short)
(time (UTM encoded-BB3+data))
(display "What does the original BB do?\n")
(BB3 '())
; BB4, but without report:
(printf "~nUTM on encoded BB4, but without report.~n~n")
(define encoded-BB4+data
'(c c mc 1 1 R 1 c
1 1 R 1 c
1 1 L 1 c c
1 L 1 c
1 L 1 c
1 1 1 L 0 c c
1 1 1 1 1 R 1 c
1 1 1 1 1 R 1 c
1 1 1 1 L 1 c c
1 1 1 1 R 1 c
1 1 1 1 R 1 c
1 R 0 c c
0 c 0 c 0 c c c mS))
(time (UTM encoded-BB4+data #:report #f))