25.81/7.11 YES 25.81/7.13 25.81/7.13 Problem: 25.81/7.13 0(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 25.81/7.13 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 25.81/7.13 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 25.81/7.13 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 25.81/7.13 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 25.81/7.13 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 25.81/7.13 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 25.81/7.13 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 25.81/7.13 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 25.81/7.13 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 25.81/7.13 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 25.81/7.13 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 25.81/7.13 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 25.81/7.13 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 25.81/7.13 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 25.81/7.14 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 25.81/7.14 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 25.81/7.14 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 25.81/7.14 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 25.81/7.14 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 25.81/7.14 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 25.81/7.14 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 25.81/7.14 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 25.81/7.14 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 25.81/7.14 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 25.81/7.14 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 25.81/7.14 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 25.81/7.14 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 25.81/7.14 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 25.81/7.14 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 25.81/7.14 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 25.81/7.14 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 25.81/7.14 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(x1)))))))))))))))))))) 25.81/7.14 25.81/7.14 Proof: 25.81/7.14 String Reversal Processor: 25.81/7.14 2(3(2(1(0(x1))))) -> 2(5(4(4(x1)))) 25.81/7.14 5(1(3(4(3(0(5(x1))))))) -> 5(5(0(0(3(2(5(x1))))))) 25.81/7.14 0(2(3(5(2(3(0(0(x1)))))))) -> 3(4(5(1(0(3(0(x1))))))) 25.81/7.14 4(3(0(3(5(0(1(0(x1)))))))) -> 4(5(1(1(3(5(1(x1))))))) 25.81/7.14 3(3(4(4(1(3(5(2(2(x1))))))))) -> 5(2(1(3(3(0(0(0(3(x1))))))))) 25.81/7.14 5(3(3(5(0(3(2(3(5(1(x1)))))))))) -> 5(4(3(1(0(1(5(5(1(x1))))))))) 25.81/7.14 0(3(3(0(5(1(0(1(0(2(x1)))))))))) -> 0(4(0(3(3(0(5(3(3(x1))))))))) 25.81/7.14 5(5(5(4(1(3(1(4(0(2(x1)))))))))) -> 1(5(4(3(2(0(4(5(3(2(x1)))))))))) 25.81/7.14 3(5(2(2(2(3(5(5(4(4(0(x1))))))))))) -> 3(4(4(5(0(0(1(1(4(2(x1)))))))))) 25.81/7.14 5(2(4(3(4(4(0(5(2(5(2(x1))))))))))) -> 5(1(4(0(3(3(0(0(5(2(1(x1))))))))))) 25.81/7.14 4(5(5(4(5(5(1(0(5(1(1(0(x1)))))))))))) -> 4(5(0(0(5(5(5(4(2(4(2(x1))))))))))) 25.81/7.14 4(3(3(5(2(0(3(3(5(3(0(3(x1)))))))))))) -> 4(0(3(5(3(4(5(1(3(3(2(x1))))))))))) 25.81/7.14 1(4(3(3(4(5(3(1(1(3(3(0(4(x1))))))))))))) -> 0(2(2(4(2(4(3(5(0(5(0(4(x1)))))))))))) 25.81/7.14 2(0(1(3(1(1(0(1(4(3(0(4(4(x1))))))))))))) -> 2(1(2(2(1(3(1(5(1(4(0(4(x1)))))))))))) 25.81/7.14 1(1(3(0(2(3(1(3(5(5(1(2(1(1(x1)))))))))))))) -> 0(3(2(0(0(3(4(5(5(5(3(2(3(x1))))))))))))) 25.81/7.14 4(2(5(3(0(1(3(3(3(0(2(5(4(4(x1)))))))))))))) -> 4(3(0(5(2(4(2(1(3(3(1(2(4(x1))))))))))))) 25.81/7.14 4(5(0(3(5(1(5(4(5(4(4(3(2(5(2(x1))))))))))))))) -> 25.81/7.14 4(1(3(0(3(4(5(3(1(2(2(1(3(1(3(x1))))))))))))))) 25.81/7.14 5(3(3(0(4(0(5(4(4(1(1(4(5(5(5(2(x1)))))))))))))))) -> 25.81/7.14 5(0(0(5(1(0(5(3(1(5(2(2(1(5(2(4(5(x1))))))))))))))))) 25.81/7.14 4(3(4(5(2(2(2(3(0(0(1(4(3(3(4(5(x1)))))))))))))))) -> 25.81/7.14 4(3(1(1(2(4(4(5(4(3(0(2(3(2(4(5(x1)))))))))))))))) 25.81/7.14 2(5(2(0(2(1(4(5(5(3(3(3(1(2(5(1(2(x1))))))))))))))))) -> 25.81/7.14 1(1(1(2(5(3(1(1(2(1(3(2(3(2(2(3(0(3(x1)))))))))))))))))) 25.81/7.14 0(1(3(1(2(3(5(1(2(0(1(3(2(1(0(0(4(x1))))))))))))))))) -> 25.81/7.14 3(0(5(4(3(5(4(4(1(3(4(5(5(1(4(x1))))))))))))))) 25.81/7.14 2(5(0(4(3(4(2(5(0(3(5(1(5(5(5(1(2(0(1(x1))))))))))))))))))) -> 25.81/7.14 2(3(3(2(5(1(5(2(2(1(4(0(0(5(1(0(3(3(1(1(x1)))))))))))))))))))) 25.81/7.14 4(5(3(1(2(2(4(5(3(0(1(2(2(3(2(5(0(2(3(3(x1)))))))))))))))))))) -> 25.81/7.14 4(1(2(5(2(0(1(4(2(2(1(5(4(0(2(1(0(2(3(x1))))))))))))))))))) 25.81/7.14 3(5(0(5(4(5(5(4(0(3(2(0(5(1(0(5(1(1(5(4(1(x1))))))))))))))))))))) -> 25.81/7.14 0(2(5(5(4(3(5(5(3(5(4(1(2(4(5(1(0(3(3(4(x1)))))))))))))))))))) 25.81/7.14 0(5(3(0(5(1(5(4(2(0(1(3(2(5(5(0(1(4(4(5(3(x1))))))))))))))))))))) -> 25.81/7.14 1(5(4(4(1(1(1(0(0(3(4(1(4(2(3(3(4(2(2(3(x1)))))))))))))))))))) 25.81/7.14 Bounds Processor: 25.81/7.14 bound: 0 25.81/7.14 enrichment: match 25.81/7.14 automaton: 25.81/7.14 final states: {271,252,235,216,202,186,173,157,143,131,119,109,98, 25.81/7.14 89,80,70,61,51,43,36,27,20,13,6,1} 25.81/7.14 transitions: 25.81/7.14 f60() -> 2* 25.81/7.14 20(247) -> 248* 25.81/7.14 20(242) -> 243* 25.81/7.14 20(237) -> 238* 25.81/7.14 20(227) -> 228* 25.81/7.14 20(5) -> 1* 25.81/7.14 20(187) -> 188* 25.81/7.14 20(162) -> 163* 25.81/7.14 20(147) -> 148* 25.81/7.14 20(107) -> 108* 25.81/7.14 20(269) -> 270* 25.81/7.14 20(62) -> 81* 25.81/7.14 20(249) -> 250* 25.81/7.14 20(234) -> 216* 25.81/7.14 20(7) -> 8* 25.81/7.14 20(2) -> 52* 25.81/7.14 20(174) -> 175* 25.81/7.14 20(104) -> 105* 25.81/7.14 20(34) -> 35* 25.81/7.14 20(231) -> 232* 25.81/7.14 20(226) -> 227* 25.81/7.14 20(181) -> 182* 25.81/7.14 20(161) -> 162* 25.81/7.14 20(146) -> 147* 25.81/7.14 20(136) -> 137* 25.81/7.14 20(116) -> 117* 25.81/7.14 20(106) -> 107* 25.81/7.14 20(258) -> 259* 25.81/7.14 20(56) -> 57* 25.81/7.14 20(243) -> 244* 25.81/7.14 20(21) -> 71* 25.81/7.14 20(198) -> 199* 25.81/7.14 20(193) -> 194* 25.81/7.14 20(188) -> 189* 25.81/7.14 20(158) -> 159* 25.81/7.14 20(138) -> 139* 25.81/7.14 20(128) -> 129* 25.81/7.14 20(118) -> 109* 25.81/7.14 20(275) -> 276* 25.81/7.14 20(28) -> 120* 25.81/7.14 20(3) -> 132* 25.81/7.14 20(190) -> 191* 25.81/7.14 20(120) -> 272* 25.81/7.14 20(115) -> 116* 25.81/7.14 50(267) -> 268* 25.81/7.14 50(35) -> 27* 25.81/7.14 50(25) -> 26* 25.81/7.14 50(197) -> 198* 25.81/7.14 50(172) -> 157* 25.81/7.14 50(122) -> 123* 25.81/7.14 50(87) -> 88* 25.81/7.14 50(82) -> 83* 25.81/7.14 50(264) -> 265* 25.81/7.14 50(42) -> 36* 25.81/7.14 50(22) -> 37* 25.81/7.14 50(17) -> 18* 25.81/7.14 50(12) -> 6* 25.81/7.14 50(204) -> 205* 25.81/7.14 50(2) -> 7* 25.81/7.14 50(169) -> 170* 25.81/7.14 50(159) -> 160* 25.81/7.14 50(139) -> 140* 25.81/7.14 50(99) -> 100* 25.81/7.14 50(94) -> 95* 25.81/7.14 50(84) -> 85* 25.81/7.14 50(79) -> 70* 25.81/7.14 50(261) -> 262* 25.81/7.14 50(59) -> 60* 25.81/7.14 50(256) -> 257* 25.81/7.14 50(44) -> 45* 25.81/7.14 50(221) -> 222* 25.81/7.14 50(4) -> 5* 25.81/7.14 50(166) -> 167* 25.81/7.14 50(121) -> 122* 25.81/7.14 50(111) -> 112* 25.81/7.14 50(101) -> 102* 25.81/7.14 50(91) -> 92* 25.81/7.14 50(71) -> 72* 25.81/7.14 50(268) -> 269* 25.81/7.14 50(66) -> 67* 25.81/7.14 50(263) -> 264* 25.81/7.14 50(248) -> 249* 25.81/7.14 50(228) -> 229* 25.81/7.14 50(21) -> 22* 25.81/7.14 50(213) -> 214* 25.81/7.14 50(11) -> 12* 25.81/7.14 50(203) -> 204* 25.81/7.14 50(178) -> 179* 25.81/7.14 50(163) -> 164* 25.81/7.14 50(123) -> 124* 25.81/7.14 50(83) -> 84* 25.81/7.14 50(53) -> 54* 25.81/7.14 50(240) -> 241* 25.81/7.14 50(230) -> 231* 25.81/7.14 50(210) -> 211* 25.81/7.14 50(150) -> 151* 25.81/7.14 50(287) -> 288* 25.81/7.14 40(272) -> 273* 25.81/7.14 40(257) -> 258* 25.81/7.14 40(212) -> 213* 25.81/7.14 40(177) -> 178* 25.81/7.14 40(142) -> 131* 25.81/7.14 40(137) -> 138* 25.81/7.14 40(97) -> 89* 25.81/7.14 40(92) -> 93* 25.81/7.14 40(77) -> 78* 25.81/7.14 40(67) -> 68* 25.81/7.14 40(52) -> 62* 25.81/7.14 40(244) -> 245* 25.81/7.14 40(239) -> 240* 25.81/7.14 40(224) -> 225* 25.81/7.14 40(209) -> 210* 25.81/7.14 40(7) -> 158* 25.81/7.14 40(2) -> 3* 25.81/7.14 40(179) -> 180* 25.81/7.14 40(124) -> 125* 25.81/7.14 40(99) -> 110* 25.81/7.14 40(286) -> 287* 25.81/7.14 40(276) -> 277* 25.81/7.14 40(266) -> 267* 25.81/7.14 40(54) -> 55* 25.81/7.14 40(251) -> 235* 25.81/7.14 40(49) -> 50* 25.81/7.14 40(156) -> 143* 25.81/7.14 40(151) -> 152* 25.81/7.14 40(81) -> 82* 25.81/7.14 40(278) -> 279* 25.81/7.14 40(41) -> 42* 25.81/7.14 40(26) -> 20* 25.81/7.14 40(208) -> 209* 25.81/7.14 40(103) -> 104* 25.81/7.14 40(88) -> 80* 25.81/7.14 40(285) -> 286* 25.81/7.14 40(68) -> 69* 25.81/7.14 40(260) -> 261* 25.81/7.14 40(58) -> 59* 25.81/7.14 40(18) -> 19* 25.81/7.14 40(205) -> 206* 25.81/7.14 40(3) -> 4* 25.81/7.14 40(185) -> 173* 25.81/7.14 40(180) -> 181* 25.81/7.14 40(105) -> 106* 25.81/7.14 00(65) -> 66* 25.81/7.14 00(55) -> 56* 25.81/7.14 00(50) -> 43* 25.81/7.14 00(45) -> 46* 25.81/7.14 00(30) -> 31* 25.81/7.14 00(222) -> 223* 25.81/7.14 00(15) -> 16* 25.81/7.14 00(10) -> 11* 25.81/7.14 00(167) -> 168* 25.81/7.14 00(127) -> 128* 25.81/7.14 00(72) -> 73* 25.81/7.14 00(254) -> 255* 25.81/7.14 00(219) -> 220* 25.81/7.14 00(214) -> 215* 25.81/7.14 00(2) -> 14* 25.81/7.14 00(281) -> 282* 25.81/7.14 00(64) -> 65* 25.81/7.14 00(246) -> 247* 25.81/7.14 00(29) -> 30* 25.81/7.14 00(9) -> 10* 25.81/7.14 00(171) -> 172* 25.81/7.14 00(126) -> 127* 25.81/7.14 00(96) -> 97* 25.81/7.14 00(86) -> 87* 25.81/7.14 00(76) -> 77* 25.81/7.14 00(238) -> 239* 25.81/7.14 00(223) -> 224* 25.81/7.14 00(153) -> 154* 25.81/7.14 00(108) -> 98* 25.81/7.14 00(280) -> 281* 25.81/7.14 00(73) -> 74* 25.81/7.14 00(270) -> 252* 25.81/7.14 00(48) -> 49* 25.81/7.14 00(38) -> 39* 25.81/7.14 00(28) -> 29* 25.81/7.14 00(3) -> 99* 25.81/7.14 00(175) -> 176* 25.81/7.14 00(170) -> 171* 25.81/7.14 00(140) -> 141* 25.81/7.14 00(130) -> 119* 25.81/7.14 00(120) -> 236* 25.81/7.14 00(100) -> 101* 25.81/7.14 00(85) -> 86* 25.81/7.14 30(75) -> 76* 25.81/7.14 30(262) -> 263* 25.81/7.14 30(40) -> 41* 25.81/7.14 30(232) -> 233* 25.81/7.14 30(217) -> 218* 25.81/7.14 30(152) -> 153* 25.81/7.14 30(102) -> 103* 25.81/7.14 30(279) -> 280* 25.81/7.14 30(274) -> 275* 25.81/7.14 30(57) -> 58* 25.81/7.14 30(52) -> 53* 25.81/7.14 30(47) -> 48* 25.81/7.14 30(32) -> 33* 25.81/7.14 30(22) -> 23* 25.81/7.14 30(2) -> 28* 25.81/7.14 30(189) -> 190* 25.81/7.14 30(184) -> 185* 25.81/7.14 30(159) -> 174* 25.81/7.14 30(154) -> 155* 25.81/7.14 30(149) -> 150* 25.81/7.14 30(144) -> 145* 25.81/7.14 30(134) -> 135* 25.81/7.14 30(129) -> 130* 25.81/7.14 30(74) -> 75* 25.81/7.14 30(69) -> 61* 25.81/7.14 30(29) -> 187* 25.81/7.14 30(19) -> 13* 25.81/7.14 30(14) -> 15* 25.81/7.14 30(211) -> 212* 25.81/7.14 30(206) -> 207* 25.81/7.14 30(196) -> 197* 25.81/7.14 30(191) -> 192* 25.81/7.14 30(176) -> 177* 25.81/7.14 30(141) -> 142* 25.81/7.14 30(273) -> 274* 25.81/7.14 30(253) -> 254* 25.81/7.14 30(46) -> 47* 25.81/7.14 30(233) -> 234* 25.81/7.14 30(31) -> 32* 25.81/7.14 30(218) -> 219* 25.81/7.14 30(133) -> 134* 25.81/7.14 30(113) -> 114* 25.81/7.14 30(93) -> 94* 25.81/7.14 30(265) -> 266* 25.81/7.14 30(53) -> 90* 25.81/7.14 30(28) -> 44* 25.81/7.14 30(215) -> 202* 25.81/7.14 30(8) -> 9* 25.81/7.14 30(3) -> 253* 25.81/7.14 30(165) -> 166* 25.81/7.14 30(125) -> 126* 25.81/7.14 30(120) -> 121* 25.81/7.14 30(95) -> 96* 25.81/7.14 10(282) -> 283* 25.81/7.14 10(277) -> 278* 25.81/7.14 10(60) -> 51* 25.81/7.14 10(207) -> 208* 25.81/7.14 10(192) -> 193* 25.81/7.14 10(182) -> 183* 25.81/7.14 10(132) -> 133* 25.81/7.14 10(117) -> 118* 25.81/7.14 10(112) -> 113* 25.81/7.14 10(284) -> 285* 25.81/7.14 10(62) -> 63* 25.81/7.14 10(259) -> 260* 25.81/7.14 10(37) -> 38* 25.81/7.14 10(229) -> 230* 25.81/7.14 10(2) -> 21* 25.81/7.14 10(199) -> 200* 25.81/7.14 10(194) -> 195* 25.81/7.14 10(164) -> 165* 25.81/7.14 10(114) -> 115* 25.81/7.14 10(241) -> 242* 25.81/7.14 10(39) -> 40* 25.81/7.14 10(236) -> 237* 25.81/7.14 10(24) -> 25* 25.81/7.14 10(201) -> 186* 25.81/7.14 10(288) -> 271* 25.81/7.14 10(283) -> 284* 25.81/7.14 10(21) -> 217* 25.81/7.14 10(16) -> 17* 25.81/7.14 10(183) -> 184* 25.81/7.14 10(168) -> 169* 25.81/7.14 10(148) -> 149* 25.81/7.14 10(78) -> 79* 25.81/7.14 10(63) -> 64* 25.81/7.14 10(255) -> 256* 25.81/7.14 10(250) -> 251* 25.81/7.14 10(245) -> 246* 25.81/7.14 10(33) -> 34* 25.81/7.14 10(28) -> 144* 25.81/7.14 10(225) -> 226* 25.81/7.14 10(23) -> 24* 25.81/7.14 10(220) -> 221* 25.81/7.14 10(3) -> 203* 25.81/7.14 10(200) -> 201* 25.81/7.14 10(195) -> 196* 25.81/7.14 10(160) -> 161* 25.81/7.14 10(155) -> 156* 25.81/7.14 10(145) -> 146* 25.81/7.14 10(135) -> 136* 25.81/7.14 10(110) -> 111* 25.81/7.14 10(90) -> 91* 25.81/7.14 1 -> 52,120 25.81/7.14 6 -> 7,22 25.81/7.14 13 -> 14,236 25.81/7.14 20 -> 3* 25.81/7.14 27 -> 28,44,254 25.81/7.14 36 -> 7,45 25.81/7.14 43 -> 14,29 25.81/7.14 51 -> 7* 25.81/7.14 61 -> 28* 25.81/7.14 70 -> 7* 25.81/7.14 80 -> 3,158 25.81/7.14 89 -> 3* 25.81/7.14 98 -> 21,203 25.81/7.14 109 -> 52* 25.81/7.14 119 -> 21,217 25.81/7.14 131 -> 3,62 25.81/7.14 143 -> 3,158 25.81/7.14 157 -> 7,45 25.81/7.14 173 -> 3* 25.81/7.14 186 -> 52,8 25.81/7.14 202 -> 14* 25.81/7.14 216 -> 52,8 25.81/7.14 235 -> 3,158 25.81/7.14 252 -> 28* 25.81/7.14 271 -> 14* 25.81/7.14 problem: 25.81/7.14 25.81/7.14 Qed 25.81/7.15 EOF