6.46/1.99 YES 6.46/1.99 6.46/1.99 Problem: 6.46/1.99 c(c(c(a(x1)))) -> d(d(x1)) 6.46/1.99 d(b(x1)) -> c(c(x1)) 6.46/1.99 c(x1) -> a(a(a(a(x1)))) 6.46/1.99 d(x1) -> b(b(b(b(x1)))) 6.46/1.99 b(d(x1)) -> c(c(x1)) 6.46/1.99 a(c(c(c(x1)))) -> d(d(x1)) 6.46/1.99 6.46/1.99 Proof: 6.46/1.99 Matrix Interpretation Processor: dim=1 6.46/1.99 6.46/1.99 interpretation: 6.46/1.99 [b](x0) = x0 + 2, 6.46/1.99 6.46/1.99 [d](x0) = x0 + 8, 6.46/1.99 6.46/1.99 [c](x0) = x0 + 5, 6.46/1.99 6.46/1.99 [a](x0) = x0 + 1 6.46/1.99 orientation: 6.46/1.99 c(c(c(a(x1)))) = x1 + 16 >= x1 + 16 = d(d(x1)) 6.46/1.99 6.46/1.99 d(b(x1)) = x1 + 10 >= x1 + 10 = c(c(x1)) 6.46/1.99 6.46/1.99 c(x1) = x1 + 5 >= x1 + 4 = a(a(a(a(x1)))) 6.46/1.99 6.46/1.99 d(x1) = x1 + 8 >= x1 + 8 = b(b(b(b(x1)))) 6.46/1.99 6.46/1.99 b(d(x1)) = x1 + 10 >= x1 + 10 = c(c(x1)) 6.46/1.99 6.46/1.99 a(c(c(c(x1)))) = x1 + 16 >= x1 + 16 = d(d(x1)) 6.46/1.99 problem: 6.46/1.99 c(c(c(a(x1)))) -> d(d(x1)) 6.46/1.99 d(b(x1)) -> c(c(x1)) 6.46/1.99 d(x1) -> b(b(b(b(x1)))) 6.46/1.99 b(d(x1)) -> c(c(x1)) 6.46/1.99 a(c(c(c(x1)))) -> d(d(x1)) 6.46/1.99 String Reversal Processor: 6.46/1.99 a(c(c(c(x1)))) -> d(d(x1)) 6.46/1.99 b(d(x1)) -> c(c(x1)) 6.46/1.99 d(x1) -> b(b(b(b(x1)))) 6.46/1.99 d(b(x1)) -> c(c(x1)) 6.46/1.99 c(c(c(a(x1)))) -> d(d(x1)) 6.46/1.99 Bounds Processor: 6.46/1.99 bound: 1 6.46/1.99 enrichment: match 6.46/1.99 automaton: 6.46/1.99 final states: {6,4,1} 6.46/1.99 transitions: 6.46/1.99 b0(7) -> 8* 6.46/1.99 b0(2) -> 7* 6.46/1.99 b0(9) -> 6* 6.46/1.99 b0(8) -> 9* 6.46/1.99 b1(25) -> 26* 6.46/1.99 b1(10) -> 11* 6.46/1.99 b1(27) -> 28* 6.46/1.99 b1(12) -> 13* 6.46/1.99 b1(26) -> 27* 6.46/1.99 b1(11) -> 12* 6.46/1.99 b1(28) -> 29* 6.46/1.99 b1(13) -> 14* 6.46/1.99 c1(45) -> 46* 6.46/1.99 c1(40) -> 41* 6.46/1.99 c1(30) -> 31* 6.46/1.99 c1(39) -> 40* 6.46/1.99 c1(46) -> 47* 6.46/1.99 c1(31) -> 32* 6.46/1.99 c1(48) -> 49* 6.46/1.99 f40() -> 2* 6.46/1.99 d0(2) -> 3* 6.46/1.99 d0(3) -> 1* 6.46/1.99 c0(5) -> 4* 6.46/1.99 c0(2) -> 5* 6.46/1.99 1 -> 46,31,5,32,4,11 6.46/1.99 2 -> 30,25 6.46/1.99 3 -> 45,10 6.46/1.99 4 -> 3,10,26,7 6.46/1.99 13 -> 48* 6.46/1.99 14 -> 1* 6.46/1.99 28 -> 39* 6.46/1.99 29 -> 3* 6.46/1.99 32 -> 11* 6.46/1.99 41 -> 1* 6.46/1.99 47 -> 11,8,27,12 6.46/1.99 49 -> 40* 6.46/1.99 problem: 6.46/1.99 6.46/1.99 Qed 6.46/2.00 EOF