YES(?,O(n^1)) 0.16/0.40 YES(?,O(n^1)) 0.16/0.40 0.16/0.40 Problem: 0.16/0.40 a(a(b(a(a(b(a(x1))))))) -> a(b(a(a(b(a(a(a(b(x1))))))))) 0.16/0.40 0.16/0.40 Proof: 0.16/0.40 Bounds Processor: 0.16/0.40 bound: 3 0.16/0.40 enrichment: match 0.16/0.40 automaton: 0.16/0.40 final states: {3} 0.16/0.40 transitions: 0.16/0.40 a3(162) -> 163* 0.16/0.40 a3(157) -> 158* 0.16/0.40 a3(142) -> 143* 0.16/0.40 a3(137) -> 138* 0.16/0.40 a3(159) -> 160* 0.16/0.40 a3(139) -> 140* 0.16/0.40 a3(156) -> 157* 0.16/0.40 a3(136) -> 137* 0.16/0.40 a3(160) -> 161* 0.16/0.40 a3(155) -> 156* 0.16/0.40 a3(140) -> 141* 0.16/0.40 a3(135) -> 136* 0.16/0.40 a1(20) -> 21* 0.16/0.40 a1(15) -> 16* 0.16/0.40 a1(22) -> 23* 0.16/0.40 a1(17) -> 18* 0.16/0.40 a1(19) -> 20* 0.16/0.40 a1(16) -> 17* 0.16/0.40 b3(154) -> 155* 0.16/0.40 b3(134) -> 135* 0.16/0.40 b3(161) -> 162* 0.16/0.40 b3(141) -> 142* 0.16/0.40 b3(158) -> 159* 0.16/0.40 b3(138) -> 139* 0.16/0.40 b1(30) -> 31* 0.16/0.40 b1(32) -> 33* 0.16/0.40 b1(24) -> 25* 0.16/0.40 b1(14) -> 15* 0.16/0.40 b1(21) -> 22* 0.16/0.40 b1(118) -> 119* 0.16/0.40 b1(18) -> 19* 0.16/0.40 b1(120) -> 121* 0.16/0.40 a2(60) -> 61* 0.16/0.40 a2(40) -> 41* 0.16/0.40 a2(92) -> 93* 0.16/0.40 a2(87) -> 88* 0.16/0.40 a2(94) -> 95* 0.16/0.40 a2(89) -> 90* 0.16/0.40 a2(64) -> 65* 0.16/0.40 a2(59) -> 60* 0.16/0.40 a2(44) -> 45* 0.16/0.40 a2(39) -> 40* 0.16/0.40 a2(91) -> 92* 0.16/0.40 a2(66) -> 67* 0.16/0.40 a2(61) -> 62* 0.16/0.40 a2(46) -> 47* 0.16/0.40 a2(41) -> 42* 0.16/0.40 a2(88) -> 89* 0.16/0.40 a2(63) -> 64* 0.16/0.40 a2(43) -> 44* 0.16/0.40 a0(3) -> 3* 0.16/0.40 b2(65) -> 66* 0.16/0.40 b2(45) -> 46* 0.16/0.40 b2(112) -> 113* 0.16/0.40 b2(82) -> 83* 0.16/0.40 b2(62) -> 63* 0.16/0.40 b2(42) -> 43* 0.16/0.40 b2(174) -> 175* 0.16/0.40 b2(126) -> 127* 0.16/0.40 b2(96) -> 97* 0.16/0.40 b2(86) -> 87* 0.16/0.40 b2(128) -> 129* 0.16/0.40 b2(93) -> 94* 0.16/0.40 b2(68) -> 69* 0.16/0.40 b2(58) -> 59* 0.16/0.40 b2(38) -> 39* 0.16/0.40 b2(110) -> 111* 0.16/0.40 b2(90) -> 91* 0.16/0.40 b0(3) -> 3* 0.16/0.40 3 -> 14* 0.16/0.40 15 -> 174* 0.16/0.40 16 -> 82* 0.16/0.40 17 -> 38,24 0.16/0.40 19 -> 58* 0.16/0.40 20 -> 86,30 0.16/0.40 22 -> 68,32 0.16/0.40 23 -> 41,17,3 0.16/0.40 25 -> 15* 0.16/0.40 31 -> 15* 0.16/0.40 33 -> 15* 0.16/0.40 46 -> 128,120 0.16/0.40 47 -> 42,18 0.16/0.40 61 -> 154,126 0.16/0.40 64 -> 134,96 0.16/0.40 66 -> 112* 0.16/0.40 67 -> 157,41,17,24 0.16/0.40 69 -> 59* 0.16/0.40 83 -> 59* 0.16/0.40 94 -> 118,110 0.16/0.40 95 -> 45,21 0.16/0.40 97 -> 87* 0.16/0.40 111 -> 87* 0.16/0.40 113 -> 59* 0.16/0.40 119 -> 15* 0.16/0.40 121 -> 15* 0.16/0.40 127 -> 39* 0.16/0.40 129 -> 39* 0.16/0.40 143 -> 161,45 0.16/0.40 163 -> 158,42 0.16/0.40 175 -> 59* 0.16/0.40 problem: 0.16/0.40 0.16/0.40 Qed 0.16/0.41 EOF