15.43/4.44 YES 15.43/4.46 15.43/4.46 Problem: 15.43/4.46 0(1(1(2(x1)))) -> 0(0(1(x1))) 15.43/4.46 1(2(3(3(4(5(x1)))))) -> 4(0(0(1(5(x1))))) 15.43/4.46 4(4(3(4(3(1(3(x1))))))) -> 0(1(3(1(4(4(x1)))))) 15.43/4.46 5(2(5(2(5(1(1(x1))))))) -> 5(4(5(5(1(x1))))) 15.43/4.46 1(0(5(5(5(3(4(1(x1)))))))) -> 4(3(0(3(4(3(0(5(0(x1))))))))) 15.43/4.46 3(4(3(0(4(0(3(2(x1)))))))) -> 5(1(5(4(2(x1))))) 15.43/4.46 0(5(3(2(3(1(5(4(4(x1))))))))) -> 0(0(4(4(1(0(3(4(x1)))))))) 15.43/4.46 1(0(4(3(5(2(1(0(1(x1))))))))) -> 1(4(2(0(1(1(3(4(1(x1))))))))) 15.43/4.46 5(3(2(1(1(2(1(5(3(x1))))))))) -> 5(1(4(3(3(5(0(4(x1)))))))) 15.43/4.46 1(2(4(4(4(5(5(0(2(2(x1)))))))))) -> 4(4(1(1(0(5(5(5(0(x1))))))))) 15.43/4.46 2(1(3(1(5(5(5(1(1(1(x1)))))))))) -> 5(4(2(3(5(4(2(2(1(x1))))))))) 15.43/4.46 2(0(3(1(1(0(2(5(3(3(2(3(x1)))))))))))) -> 5(4(0(4(4(4(1(4(0(3(x1)))))))))) 15.43/4.46 3(4(1(1(4(0(1(2(2(4(5(3(2(x1))))))))))))) -> 5(3(1(3(4(5(4(0(3(0(1(x1))))))))))) 15.43/4.46 1(2(0(3(1(0(4(3(3(0(3(0(5(3(x1)))))))))))))) -> 4(2(0(5(3(3(4(4(3(1(5(0(4(x1))))))))))))) 15.43/4.46 1(5(4(4(3(2(4(0(1(5(2(0(5(2(x1)))))))))))))) -> 1(5(5(2(2(2(4(0(0(5(3(3(2(2(2(0(x1)))))))))))))))) 15.43/4.46 3(5(0(1(4(0(0(1(3(5(4(1(0(2(x1)))))))))))))) -> 1(1(4(1(1(5(0(3(0(0(4(5(0(x1))))))))))))) 15.43/4.46 3(2(3(4(3(5(5(3(4(0(5(4(3(5(2(x1))))))))))))))) -> 3(5(5(0(1(4(3(4(1(1(5(1(0(x1))))))))))))) 15.43/4.46 0(0(2(2(5(0(3(0(4(0(4(0(2(3(1(5(x1)))))))))))))))) -> 15.43/4.46 0(4(2(5(2(5(3(0(4(3(2(0(2(4(5(x1))))))))))))))) 15.43/4.46 2(1(3(0(5(1(2(2(5(5(1(0(2(1(3(2(x1)))))))))))))))) -> 15.43/4.46 5(5(2(3(2(4(5(0(2(0(3(3(4(1(1(x1))))))))))))))) 15.43/4.46 2(4(4(1(5(2(3(3(2(0(4(5(3(5(0(2(x1)))))))))))))))) -> 0(5(1(4(5(2(4(1(1(5(4(3(3(x1))))))))))))) 15.43/4.46 1(5(0(0(1(4(5(3(5(4(1(0(1(2(1(2(0(x1))))))))))))))))) -> 15.43/4.46 1(4(0(1(3(5(3(3(4(1(0(4(3(3(0(5(1(0(x1)))))))))))))))))) 15.43/4.46 4(0(4(4(2(1(4(2(0(3(1(2(5(5(5(5(3(1(2(x1))))))))))))))))))) -> 15.43/4.46 3(5(4(4(2(0(4(4(4(0(1(0(2(4(0(4(1(5(x1)))))))))))))))))) 15.43/4.46 1(1(0(1(1(4(5(0(4(1(3(0(4(4(0(5(5(0(2(0(x1)))))))))))))))))))) -> 15.43/4.46 4(0(5(3(5(3(2(2(5(3(5(1(2(4(2(4(5(0(5(5(x1)))))))))))))))))))) 15.43/4.46 3(1(2(1(3(1(1(4(3(5(2(0(3(3(2(3(1(3(0(1(x1)))))))))))))))))))) -> 15.43/4.46 0(4(3(5(1(4(2(4(0(5(3(2(4(1(5(5(1(x1))))))))))))))))) 15.43/4.46 5(0(1(3(4(2(1(3(1(4(2(0(0(2(3(2(5(2(2(4(x1)))))))))))))))))))) -> 15.43/4.46 5(4(1(5(5(0(1(3(1(2(1(1(2(4(3(2(5(x1))))))))))))))))) 15.43/4.46 15.43/4.46 Proof: 15.43/4.46 String Reversal Processor: 15.43/4.46 2(1(1(0(x1)))) -> 1(0(0(x1))) 15.43/4.46 5(4(3(3(2(1(x1)))))) -> 5(1(0(0(4(x1))))) 15.43/4.46 3(1(3(4(3(4(4(x1))))))) -> 4(4(1(3(1(0(x1)))))) 15.43/4.46 1(1(5(2(5(2(5(x1))))))) -> 1(5(5(4(5(x1))))) 15.43/4.46 1(4(3(5(5(5(0(1(x1)))))))) -> 0(5(0(3(4(3(0(3(4(x1))))))))) 15.43/4.46 2(3(0(4(0(3(4(3(x1)))))))) -> 2(4(5(1(5(x1))))) 15.43/4.46 4(4(5(1(3(2(3(5(0(x1))))))))) -> 4(3(0(1(4(4(0(0(x1)))))))) 15.43/4.46 1(0(1(2(5(3(4(0(1(x1))))))))) -> 1(4(3(1(1(0(2(4(1(x1))))))))) 15.43/4.46 3(5(1(2(1(1(2(3(5(x1))))))))) -> 4(0(5(3(3(4(1(5(x1)))))))) 15.43/4.46 2(2(0(5(5(4(4(4(2(1(x1)))))))))) -> 0(5(5(5(0(1(1(4(4(x1))))))))) 15.43/4.46 1(1(1(5(5(5(1(3(1(2(x1)))))))))) -> 1(2(2(4(5(3(2(4(5(x1))))))))) 15.43/4.46 3(2(3(3(5(2(0(1(1(3(0(2(x1)))))))))))) -> 3(0(4(1(4(4(4(0(4(5(x1)))))))))) 15.43/4.46 2(3(5(4(2(2(1(0(4(1(1(4(3(x1))))))))))))) -> 1(0(3(0(4(5(4(3(1(3(5(x1))))))))))) 15.43/4.46 3(5(0(3(0(3(3(4(0(1(3(0(2(1(x1)))))))))))))) -> 4(0(5(1(3(4(4(3(3(5(0(2(4(x1))))))))))))) 15.43/4.46 2(5(0(2(5(1(0(4(2(3(4(4(5(1(x1)))))))))))))) -> 15.43/4.46 0(2(2(2(3(3(5(0(0(4(2(2(2(5(5(1(x1)))))))))))))))) 15.43/4.46 2(0(1(4(5(3(1(0(0(4(1(0(5(3(x1)))))))))))))) -> 0(5(4(0(0(3(0(5(1(1(4(1(1(x1))))))))))))) 15.43/4.46 2(5(3(4(5(0(4(3(5(5(3(4(3(2(3(x1))))))))))))))) -> 0(1(5(1(1(4(3(4(1(0(5(5(3(x1))))))))))))) 15.43/4.46 5(1(3(2(0(4(0(4(0(3(0(5(2(2(0(0(x1)))))))))))))))) -> 15.43/4.46 5(4(2(0(2(3(4(0(3(5(2(5(2(4(0(x1))))))))))))))) 15.43/4.46 2(3(1(2(0(1(5(5(2(2(1(5(0(3(1(2(x1)))))))))))))))) -> 15.43/4.46 1(1(4(3(3(0(2(0(5(4(2(3(2(5(5(x1))))))))))))))) 15.43/4.46 2(0(5(3(5(4(0(2(3(3(2(5(1(4(4(2(x1)))))))))))))))) -> 3(3(4(5(1(1(4(2(5(4(1(5(0(x1))))))))))))) 15.43/4.46 0(2(1(2(1(0(1(4(5(3(5(4(1(0(0(5(1(x1))))))))))))))))) -> 15.43/4.46 0(1(5(0(3(3(4(0(1(4(3(3(5(3(1(0(4(1(x1)))))))))))))))))) 15.43/4.46 2(1(3(5(5(5(5(2(1(3(0(2(4(1(2(4(4(0(4(x1))))))))))))))))))) -> 15.43/4.46 5(1(4(0(4(2(0(1(0(4(4(4(0(2(4(4(5(3(x1)))))))))))))))))) 15.43/4.46 0(2(0(5(5(0(4(4(0(3(1(4(0(5(4(1(1(0(1(1(x1)))))))))))))))))))) -> 15.43/4.46 5(5(0(5(4(2(4(2(1(5(3(5(2(2(3(5(3(5(0(4(x1)))))))))))))))))))) 15.43/4.46 1(0(3(1(3(2(3(3(0(2(5(3(4(1(1(3(1(2(1(3(x1)))))))))))))))))))) -> 15.43/4.46 1(5(5(1(4(2(3(5(0(4(2(4(1(5(3(4(0(x1))))))))))))))))) 15.43/4.46 4(2(2(5(2(3(2(0(0(2(4(1(3(1(2(4(3(1(0(5(x1)))))))))))))))))))) -> 15.61/4.47 5(2(3(4(2(1(1(2(1(3(1(0(5(5(1(4(5(x1))))))))))))))))) 15.61/4.47 Bounds Processor: 15.61/4.47 bound: 0 15.61/4.47 enrichment: match 15.61/4.47 automaton: 15.61/4.47 final states: {243,228,210,194,178,166,152,138,125,113,98,86,76,68, 15.61/4.47 61,53,47,38,32,28,20,15,10,5,1} 15.61/4.47 transitions: 15.61/4.47 f60() -> 2* 15.61/4.47 10(55) -> 56* 15.61/4.47 10(252) -> 253* 15.61/4.47 10(247) -> 248* 15.61/4.47 10(242) -> 228* 15.61/4.47 10(202) -> 203* 15.61/4.47 10(192) -> 193* 15.61/4.47 10(172) -> 173* 15.61/4.47 10(167) -> 168* 15.61/4.47 10(77) -> 78* 15.61/4.47 10(72) -> 73* 15.61/4.47 10(67) -> 61* 15.61/4.47 10(249) -> 250* 15.61/4.47 10(42) -> 43* 15.61/4.47 10(239) -> 240* 15.61/4.47 10(219) -> 220* 15.61/4.47 10(17) -> 244* 15.61/4.47 10(12) -> 13* 15.61/4.47 10(2) -> 39* 15.61/4.47 10(179) -> 180* 15.61/4.47 10(164) -> 165* 15.61/4.47 10(134) -> 135* 15.61/4.47 10(129) -> 130* 15.61/4.47 10(94) -> 95* 15.61/4.47 10(54) -> 55* 15.61/4.47 10(251) -> 252* 15.61/4.47 10(39) -> 114* 15.61/4.47 10(34) -> 35* 15.61/4.47 10(19) -> 15* 15.61/4.47 10(4) -> 1* 15.61/4.47 10(136) -> 137* 15.61/4.47 10(116) -> 117* 15.61/4.47 10(46) -> 38* 15.61/4.47 10(16) -> 29* 15.61/4.47 10(208) -> 209* 15.61/4.47 10(173) -> 174* 15.61/4.47 10(133) -> 134* 15.61/4.47 10(43) -> 44* 15.61/4.47 10(230) -> 231* 15.61/4.47 10(8) -> 9* 15.61/4.47 10(3) -> 11* 15.61/4.47 10(185) -> 186* 15.61/4.47 10(165) -> 152* 15.61/4.47 10(115) -> 116* 15.61/4.47 10(85) -> 76* 15.61/4.47 00(60) -> 53* 15.61/4.47 00(40) -> 179* 15.61/4.47 00(35) -> 36* 15.61/4.47 00(25) -> 26* 15.61/4.47 00(197) -> 198* 15.61/4.47 00(137) -> 125* 15.61/4.47 00(112) -> 98* 15.61/4.47 00(87) -> 88* 15.61/4.47 00(82) -> 83* 15.61/4.47 00(234) -> 235* 15.61/4.47 00(27) -> 20* 15.61/4.47 00(17) -> 69* 15.61/4.47 00(7) -> 8* 15.61/4.47 00(2) -> 3* 15.61/4.47 00(144) -> 145* 15.61/4.47 00(124) -> 113* 15.61/4.47 00(104) -> 105* 15.61/4.47 00(84) -> 85* 15.61/4.47 00(74) -> 75* 15.61/4.47 00(246) -> 247* 15.61/4.47 00(206) -> 207* 15.61/4.47 00(201) -> 202* 15.61/4.47 00(186) -> 187* 15.61/4.47 00(121) -> 122* 15.61/4.47 00(96) -> 97* 15.61/4.47 00(56) -> 57* 15.61/4.47 00(51) -> 52* 15.61/4.47 00(41) -> 42* 15.61/4.47 00(21) -> 22* 15.61/4.47 00(6) -> 7* 15.61/4.47 00(203) -> 204* 15.61/4.47 00(193) -> 178* 15.61/4.47 00(158) -> 159* 15.61/4.47 00(148) -> 149* 15.61/4.47 00(128) -> 129* 15.61/4.47 00(118) -> 119* 15.61/4.47 00(225) -> 226* 15.61/4.47 00(3) -> 4* 15.61/4.47 00(190) -> 191* 15.61/4.47 00(160) -> 161* 15.61/4.47 00(120) -> 121* 15.61/4.47 00(105) -> 106* 15.61/4.47 50(257) -> 243* 15.61/4.47 50(50) -> 51* 15.61/4.47 50(227) -> 210* 15.61/4.47 50(212) -> 213* 15.61/4.47 50(157) -> 158* 15.61/4.47 50(142) -> 143* 15.61/4.47 50(127) -> 128* 15.61/4.47 50(117) -> 118* 15.61/4.47 50(57) -> 58* 15.61/4.47 50(244) -> 245* 15.61/4.47 50(229) -> 230* 15.61/4.47 50(224) -> 225* 15.61/4.47 50(17) -> 18* 15.61/4.47 50(209) -> 194* 15.61/4.47 50(7) -> 211* 15.61/4.47 50(2) -> 16* 15.61/4.47 50(174) -> 175* 15.61/4.47 50(169) -> 170* 15.61/4.47 50(99) -> 100* 15.61/4.47 50(59) -> 60* 15.61/4.47 50(241) -> 242* 15.61/4.47 50(39) -> 99* 15.61/4.47 50(29) -> 30* 15.61/4.47 50(226) -> 227* 15.61/4.47 50(216) -> 217* 15.61/4.47 50(9) -> 5* 15.61/4.47 50(191) -> 192* 15.61/4.47 50(181) -> 182* 15.61/4.47 50(151) -> 138* 15.61/4.47 50(126) -> 127* 15.61/4.47 50(106) -> 107* 15.61/4.47 50(26) -> 27* 15.61/4.47 50(218) -> 219* 15.61/4.47 50(16) -> 153* 15.61/4.47 50(123) -> 124* 15.61/4.47 50(88) -> 89* 15.61/4.47 50(63) -> 64* 15.61/4.47 50(58) -> 59* 15.61/4.47 50(245) -> 246* 15.61/4.47 50(240) -> 241* 15.61/4.47 50(235) -> 236* 15.61/4.47 50(18) -> 19* 15.61/4.47 50(3) -> 167* 15.61/4.47 50(140) -> 141* 15.61/4.47 50(135) -> 136* 15.61/4.47 50(95) -> 96* 15.61/4.47 50(80) -> 81* 15.61/4.47 40(70) -> 71* 15.61/4.47 40(45) -> 46* 15.61/4.47 40(30) -> 31* 15.61/4.47 40(207) -> 208* 15.61/4.47 40(187) -> 188* 15.61/4.47 40(132) -> 133* 15.61/4.47 40(127) -> 195* 15.61/4.47 40(122) -> 123* 15.61/4.47 40(97) -> 86* 15.61/4.47 40(92) -> 93* 15.61/4.47 40(254) -> 255* 15.61/4.47 40(52) -> 47* 15.61/4.47 40(37) -> 32* 15.61/4.47 40(2) -> 6* 15.61/4.47 40(199) -> 200* 15.61/4.47 40(184) -> 185* 15.61/4.47 40(114) -> 115* 15.61/4.47 40(79) -> 80* 15.61/4.47 40(69) -> 70* 15.61/4.47 40(64) -> 65* 15.61/4.47 40(39) -> 40* 15.61/4.47 40(231) -> 232* 15.61/4.47 40(29) -> 48* 15.61/4.47 40(221) -> 222* 15.61/4.47 40(14) -> 10* 15.61/4.47 40(4) -> 33* 15.61/4.47 40(171) -> 172* 15.61/4.47 40(156) -> 157* 15.61/4.47 40(91) -> 92* 15.61/4.47 40(81) -> 82* 15.61/4.47 40(71) -> 72* 15.61/4.47 40(238) -> 239* 15.61/4.47 40(233) -> 234* 15.61/4.47 40(223) -> 224* 15.61/4.47 40(16) -> 17* 15.61/4.47 40(6) -> 54* 15.61/4.47 40(198) -> 199* 15.61/4.47 40(168) -> 169* 15.61/4.47 40(163) -> 164* 15.61/4.47 40(103) -> 104* 15.61/4.47 40(73) -> 74* 15.61/4.47 40(33) -> 34* 15.61/4.47 40(23) -> 24* 15.61/4.47 40(13) -> 14* 15.61/4.47 40(205) -> 206* 15.61/4.47 40(3) -> 139* 15.61/4.47 40(200) -> 201* 15.61/4.47 40(195) -> 196* 15.61/4.47 40(175) -> 176* 15.61/4.47 40(150) -> 151* 15.61/4.47 40(145) -> 146* 15.61/4.47 40(130) -> 131* 15.61/4.47 30(75) -> 68* 15.61/4.47 30(217) -> 218* 15.61/4.47 30(182) -> 183* 15.61/4.47 30(177) -> 166* 15.61/4.47 30(162) -> 163* 15.61/4.47 30(107) -> 108* 15.61/4.47 30(62) -> 63* 15.61/4.47 30(22) -> 23* 15.61/4.47 30(2) -> 126* 15.61/4.47 30(189) -> 190* 15.61/4.47 30(154) -> 155* 15.61/4.47 30(139) -> 229* 15.61/4.47 30(119) -> 120* 15.61/4.47 30(89) -> 90* 15.61/4.47 30(49) -> 50* 15.61/4.47 30(44) -> 45* 15.61/4.47 30(236) -> 237* 15.61/4.47 30(24) -> 25* 15.61/4.47 30(211) -> 212* 15.61/4.47 30(176) -> 177* 15.61/4.47 30(161) -> 162* 15.61/4.47 30(146) -> 147* 15.61/4.47 30(131) -> 132* 15.61/4.47 30(248) -> 249* 15.61/4.47 30(36) -> 37* 15.61/4.47 30(16) -> 77* 15.61/4.47 30(213) -> 214* 15.61/4.47 30(11) -> 12* 15.61/4.47 30(6) -> 21* 15.61/4.47 30(188) -> 189* 15.61/4.47 30(183) -> 184* 15.61/4.47 30(143) -> 144* 15.61/4.47 30(108) -> 109* 15.61/4.47 30(93) -> 94* 15.61/4.47 30(83) -> 84* 15.61/4.47 30(78) -> 79* 15.61/4.47 30(255) -> 256* 15.61/4.47 30(48) -> 49* 15.61/4.47 30(180) -> 181* 15.61/4.47 30(90) -> 91* 15.61/4.47 20(65) -> 66* 15.61/4.47 20(40) -> 41* 15.61/4.47 20(237) -> 238* 15.61/4.47 20(232) -> 233* 15.61/4.47 20(222) -> 223* 15.61/4.47 20(147) -> 148* 15.61/4.47 20(102) -> 103* 15.61/4.47 20(17) -> 62* 15.61/4.47 20(214) -> 215* 15.61/4.47 20(204) -> 205* 15.61/4.47 20(159) -> 160* 15.61/4.47 20(149) -> 150* 15.61/4.47 20(139) -> 140* 15.61/4.47 20(109) -> 110* 15.61/4.47 20(256) -> 257* 15.61/4.47 20(196) -> 197* 15.61/4.47 20(141) -> 142* 15.61/4.47 20(111) -> 112* 15.61/4.47 20(101) -> 102* 15.61/4.47 20(66) -> 67* 15.61/4.47 20(253) -> 254* 15.61/4.47 20(31) -> 28* 15.61/4.47 20(6) -> 87* 15.61/4.47 20(153) -> 154* 15.61/4.47 20(250) -> 251* 15.61/4.47 20(220) -> 221* 15.61/4.47 20(215) -> 216* 15.61/4.47 20(170) -> 171* 15.61/4.47 20(155) -> 156* 15.61/4.47 20(110) -> 111* 15.61/4.47 20(100) -> 101* 15.61/4.47 5 -> 16* 15.61/4.47 10 -> 126* 15.61/4.47 15 -> 39,114 15.61/4.47 20 -> 39* 15.61/4.47 32 -> 6,54 15.61/4.47 38 -> 39,11 15.61/4.47 47 -> 126,77 15.61/4.47 61 -> 39,114 15.61/4.47 68 -> 126* 15.61/4.47 86 -> 126,77 15.61/4.47 138 -> 16,99 15.61/4.47 178 -> 3* 15.61/4.47 210 -> 3* 15.61/4.47 228 -> 39,11 15.61/4.47 243 -> 6* 15.61/4.47 problem: 15.61/4.47 15.61/4.47 Qed 15.61/4.47 EOF