23.94/6.61 YES 23.94/6.62 23.94/6.62 Problem: 23.94/6.62 0(0(1(2(1(x1))))) -> 0(2(3(4(x1)))) 23.94/6.62 1(4(5(3(2(x1))))) -> 1(5(0(5(x1)))) 23.94/6.62 3(0(2(3(0(x1))))) -> 5(0(2(1(1(x1))))) 23.94/6.62 0(1(5(2(3(2(x1)))))) -> 0(5(3(1(3(2(x1)))))) 23.94/6.62 1(3(0(4(1(4(x1)))))) -> 1(2(0(1(2(x1))))) 23.94/6.62 3(5(4(4(1(1(x1)))))) -> 0(2(3(0(4(x1))))) 23.94/6.62 4(5(5(4(5(5(x1)))))) -> 4(3(1(5(1(5(x1)))))) 23.94/6.62 1(3(2(5(2(3(1(x1))))))) -> 1(0(5(1(3(4(x1)))))) 23.94/6.62 3(2(1(2(5(4(3(1(x1)))))))) -> 2(5(0(4(4(3(5(x1))))))) 23.94/6.62 2(4(2(3(0(3(4(5(2(x1))))))))) -> 2(4(0(0(0(0(0(5(2(x1))))))))) 23.94/6.62 3(4(2(4(0(2(1(0(2(x1))))))))) -> 3(1(0(5(0(5(0(1(x1)))))))) 23.94/6.62 2(4(2(0(3(4(0(3(3(1(x1)))))))))) -> 3(5(2(0(5(3(3(2(2(x1))))))))) 23.94/6.62 0(0(4(2(0(3(4(5(2(0(0(0(0(0(x1)))))))))))))) -> 2(4(1(2(4(4(3(2(5(2(3(5(5(0(x1)))))))))))))) 23.94/6.62 3(2(3(2(2(0(4(5(0(3(5(3(4(4(5(x1))))))))))))))) -> 23.94/6.62 5(2(3(5(2(1(4(4(1(5(5(3(0(1(4(2(x1)))))))))))))))) 23.94/6.62 2(4(0(1(1(5(0(2(0(5(2(3(5(4(0(2(x1)))))))))))))))) -> 23.94/6.62 5(0(2(0(2(0(2(5(4(0(0(5(5(2(0(x1))))))))))))))) 23.94/6.62 3(0(4(5(3(5(0(3(5(2(3(1(5(4(2(1(x1)))))))))))))))) -> 23.94/6.62 2(5(3(3(2(3(0(2(5(4(0(2(4(5(2(1(x1)))))))))))))))) 23.94/6.62 3(5(3(2(4(3(3(1(0(0(5(4(0(2(1(1(x1)))))))))))))))) -> 23.94/6.62 3(5(3(3(3(2(5(4(1(5(5(1(3(5(1(x1))))))))))))))) 23.94/6.62 3(1(5(3(2(4(2(2(4(3(4(2(3(4(5(1(4(4(5(x1))))))))))))))))))) -> 23.94/6.62 3(4(3(2(2(4(1(2(1(3(3(0(0(3(3(4(2(4(x1)))))))))))))))))) 23.94/6.62 4(5(3(3(0(5(2(0(3(5(0(3(3(2(3(1(3(3(4(x1))))))))))))))))))) -> 23.94/6.62 4(0(4(1(5(1(4(2(4(2(5(4(1(2(5(2(1(2(5(2(2(x1))))))))))))))))))))) 23.94/6.62 0(3(5(0(0(0(4(1(2(1(3(5(5(5(0(3(5(0(3(4(x1)))))))))))))))))))) -> 23.94/6.62 0(3(5(3(3(2(4(5(5(4(0(2(3(0(2(5(2(4(3(4(x1)))))))))))))))))))) 23.94/6.62 0(4(2(4(3(5(4(2(5(1(4(3(2(5(3(5(4(2(3(0(x1)))))))))))))))))))) -> 23.94/6.62 5(2(3(3(4(1(5(3(2(2(3(5(1(1(1(2(1(2(2(1(x1)))))))))))))))))))) 23.94/6.62 2(2(2(3(5(5(2(1(4(1(2(2(1(5(2(1(1(0(2(2(x1)))))))))))))))))))) -> 23.94/6.62 2(3(2(3(2(5(4(2(0(3(2(0(2(4(5(2(4(4(x1)))))))))))))))))) 23.94/6.62 3(3(2(0(2(2(5(3(2(3(3(1(3(5(5(1(3(0(2(1(x1)))))))))))))))))))) -> 23.94/6.62 3(0(5(1(1(3(2(1(2(5(5(4(3(4(3(0(5(5(3(4(x1)))))))))))))))))))) 23.94/6.62 0(4(5(4(0(3(1(4(4(0(3(4(2(5(4(1(0(0(5(1(2(x1))))))))))))))))))))) -> 23.94/6.62 3(5(4(4(4(5(5(0(2(4(4(1(5(2(1(2(5(2(5(2(2(x1))))))))))))))))))))) 23.94/6.62 4(4(1(5(4(1(1(2(1(5(1(1(4(4(2(2(4(2(4(5(3(x1))))))))))))))))))))) -> 23.94/6.62 0(3(2(3(2(0(3(2(1(1(4(5(2(2(0(1(1(2(3(x1))))))))))))))))))) 23.94/6.62 23.94/6.62 Proof: 23.94/6.62 String Reversal Processor: 23.94/6.62 1(2(1(0(0(x1))))) -> 4(3(2(0(x1)))) 23.94/6.62 2(3(5(4(1(x1))))) -> 5(0(5(1(x1)))) 23.94/6.62 0(3(2(0(3(x1))))) -> 1(1(2(0(5(x1))))) 23.94/6.62 2(3(2(5(1(0(x1)))))) -> 2(3(1(3(5(0(x1)))))) 23.94/6.62 4(1(4(0(3(1(x1)))))) -> 2(1(0(2(1(x1))))) 23.94/6.62 1(1(4(4(5(3(x1)))))) -> 4(0(3(2(0(x1))))) 23.94/6.62 5(5(4(5(5(4(x1)))))) -> 5(1(5(1(3(4(x1)))))) 23.94/6.62 1(3(2(5(2(3(1(x1))))))) -> 4(3(1(5(0(1(x1)))))) 23.94/6.62 1(3(4(5(2(1(2(3(x1)))))))) -> 5(3(4(4(0(5(2(x1))))))) 23.94/6.62 2(5(4(3(0(3(2(4(2(x1))))))))) -> 2(5(0(0(0(0(0(4(2(x1))))))))) 23.94/6.62 2(0(1(2(0(4(2(4(3(x1))))))))) -> 1(0(5(0(5(0(1(3(x1)))))))) 23.94/6.62 1(3(3(0(4(3(0(2(4(2(x1)))))))))) -> 2(2(3(3(5(0(2(5(3(x1))))))))) 23.94/6.62 0(0(0(0(0(2(5(4(3(0(2(4(0(0(x1)))))))))))))) -> 0(5(5(3(2(5(2(3(4(4(2(1(4(2(x1)))))))))))))) 23.94/6.62 5(4(4(3(5(3(0(5(4(0(2(2(3(2(3(x1))))))))))))))) -> 23.94/6.62 2(4(1(0(3(5(5(1(4(4(1(2(5(3(2(5(x1)))))))))))))))) 23.94/6.62 2(0(4(5(3(2(5(0(2(0(5(1(1(0(4(2(x1)))))))))))))))) -> 23.94/6.62 0(2(5(5(0(0(4(5(2(0(2(0(2(0(5(x1))))))))))))))) 23.94/6.62 1(2(4(5(1(3(2(5(3(0(5(3(5(4(0(3(x1)))))))))))))))) -> 23.94/6.62 1(2(5(4(2(0(4(5(2(0(3(2(3(3(5(2(x1)))))))))))))))) 23.94/6.62 1(1(2(0(4(5(0(0(1(3(3(4(2(3(5(3(x1)))))))))))))))) -> 23.94/6.62 1(5(3(1(5(5(1(4(5(2(3(3(3(5(3(x1))))))))))))))) 23.94/6.62 5(4(4(1(5(4(3(2(4(3(4(2(2(4(2(3(5(1(3(x1))))))))))))))))))) -> 23.94/6.62 4(2(4(3(3(0(0(3(3(1(2(1(4(2(2(3(4(3(x1)))))))))))))))))) 23.94/6.62 4(3(3(1(3(2(3(3(0(5(3(0(2(5(0(3(3(5(4(x1))))))))))))))))))) -> 23.94/6.62 2(2(5(2(1(2(5(2(1(4(5(2(4(2(4(1(5(1(4(0(4(x1))))))))))))))))))))) 23.94/6.62 4(3(0(5(3(0(5(5(5(3(1(2(1(4(0(0(0(5(3(0(x1)))))))))))))))))))) -> 23.94/6.62 4(3(4(2(5(2(0(3(2(0(4(5(5(4(2(3(3(5(3(0(x1)))))))))))))))))))) 23.94/6.62 0(3(2(4(5(3(5(2(3(4(1(5(2(4(5(3(4(2(4(0(x1)))))))))))))))))))) -> 23.94/6.62 1(2(2(1(2(1(1(1(5(3(2(2(3(5(1(4(3(3(2(5(x1)))))))))))))))))))) 23.94/6.62 2(2(0(1(1(2(5(1(2(2(1(4(1(2(5(5(3(2(2(2(x1)))))))))))))))))))) -> 23.94/6.62 4(4(2(5(4(2(0(2(3(0(2(4(5(2(3(2(3(2(x1)))))))))))))))))) 23.94/6.62 1(2(0(3(1(5(5(3(1(3(3(2(3(5(2(2(0(2(3(3(x1)))))))))))))))))))) -> 23.94/6.62 4(3(5(5(0(3(4(3(4(5(5(2(1(2(3(1(1(5(0(3(x1)))))))))))))))))))) 23.94/6.62 2(1(5(0(0(1(4(5(2(4(3(0(4(4(1(3(0(4(5(4(0(x1))))))))))))))))))))) -> 23.94/6.63 2(2(5(2(5(2(1(2(5(1(4(4(2(0(5(5(4(4(4(5(3(x1))))))))))))))))))))) 23.94/6.63 3(5(4(2(4(2(2(4(4(1(1(5(1(2(1(1(4(5(1(4(4(x1))))))))))))))))))))) -> 23.94/6.63 3(2(1(1(0(2(2(5(4(1(1(2(3(0(2(3(2(3(0(x1))))))))))))))))))) 23.94/6.63 Bounds Processor: 23.94/6.63 bound: 0 23.94/6.63 enrichment: match 23.94/6.63 automaton: 23.94/6.63 final states: {262,243,224,207,190,171,151,134,121,107,95,80,68,60, 23.94/6.63 52,44,37,32,26,24,20,15,10,6,1} 23.94/6.63 transitions: 23.94/6.63 f60() -> 2* 23.94/6.63 40(70) -> 71* 23.94/6.63 40(242) -> 224* 23.94/6.63 40(40) -> 41* 23.94/6.63 40(25) -> 24* 23.94/6.63 40(222) -> 223* 23.94/6.63 40(212) -> 213* 23.94/6.63 40(5) -> 1* 23.94/6.63 40(187) -> 188* 23.94/6.63 40(152) -> 153* 23.94/6.63 40(117) -> 118* 23.94/6.63 40(244) -> 245* 23.94/6.63 40(234) -> 235* 23.94/6.63 40(219) -> 220* 23.94/6.63 40(2) -> 27* 23.94/6.63 40(189) -> 171* 23.94/6.63 40(179) -> 180* 23.94/6.63 40(114) -> 115* 23.94/6.63 40(251) -> 252* 23.94/6.63 40(236) -> 237* 23.94/6.63 40(191) -> 192* 23.94/6.63 40(176) -> 177* 23.94/6.63 40(161) -> 162* 23.94/6.63 40(156) -> 157* 23.94/6.63 40(126) -> 127* 23.94/6.63 40(86) -> 87* 23.94/6.63 40(71) -> 72* 23.94/6.63 40(61) -> 244* 23.94/6.63 40(41) -> 42* 23.94/6.63 40(36) -> 32* 23.94/6.63 40(223) -> 207* 23.94/6.63 40(158) -> 159* 23.94/6.63 40(148) -> 149* 23.94/6.63 40(138) -> 139* 23.94/6.63 40(93) -> 94* 23.94/6.63 40(270) -> 271* 23.94/6.63 40(53) -> 135* 23.94/6.63 40(250) -> 251* 23.94/6.63 40(245) -> 246* 23.94/6.63 40(38) -> 45* 23.94/6.63 40(150) -> 134* 23.94/6.63 40(100) -> 101* 23.94/6.63 40(85) -> 86* 23.94/6.63 30(65) -> 66* 23.94/6.63 30(237) -> 238* 23.94/6.63 30(35) -> 36* 23.94/6.63 30(197) -> 198* 23.94/6.63 30(182) -> 183* 23.94/6.63 30(147) -> 148* 23.94/6.63 30(142) -> 143* 23.94/6.63 30(122) -> 123* 23.94/6.63 30(82) -> 191* 23.94/6.63 30(72) -> 73* 23.94/6.63 30(42) -> 43* 23.94/6.63 30(27) -> 28* 23.94/6.63 30(209) -> 210* 23.94/6.63 30(2) -> 53* 23.94/6.63 30(194) -> 195* 23.94/6.63 30(174) -> 175* 23.94/6.63 30(266) -> 267* 23.94/6.63 30(64) -> 65* 23.94/6.63 30(241) -> 242* 23.94/6.63 30(39) -> 108* 23.94/6.63 30(4) -> 5* 23.94/6.63 30(146) -> 147* 23.94/6.63 30(131) -> 132* 23.94/6.63 30(81) -> 82* 23.94/6.63 30(278) -> 262* 23.94/6.63 30(76) -> 77* 23.94/6.63 30(263) -> 264* 23.94/6.63 30(61) -> 122* 23.94/6.63 30(228) -> 229* 23.94/6.63 30(16) -> 17* 23.94/6.63 30(188) -> 189* 23.94/6.63 30(173) -> 174* 23.94/6.63 30(143) -> 144* 23.94/6.63 30(123) -> 124* 23.94/6.63 30(108) -> 109* 23.94/6.63 30(38) -> 208* 23.94/6.63 30(235) -> 236* 23.94/6.63 30(18) -> 19* 23.94/6.63 30(215) -> 216* 23.94/6.63 30(3) -> 172* 23.94/6.63 30(135) -> 136* 23.94/6.63 30(110) -> 111* 23.94/6.63 30(90) -> 91* 23.94/6.63 20(277) -> 278* 23.94/6.63 20(75) -> 76* 23.94/6.63 20(272) -> 273* 23.94/6.63 20(267) -> 268* 23.94/6.63 20(202) -> 203* 23.94/6.63 20(172) -> 263* 23.94/6.63 20(167) -> 168* 23.94/6.63 20(157) -> 158* 23.94/6.63 20(137) -> 138* 23.94/6.63 20(112) -> 113* 23.94/6.63 20(67) -> 60* 23.94/6.63 20(264) -> 265* 23.94/6.63 20(254) -> 255* 23.94/6.63 20(249) -> 250* 23.94/6.63 20(229) -> 230* 23.94/6.63 20(12) -> 13* 23.94/6.63 20(7) -> 21* 23.94/6.63 20(204) -> 205* 23.94/6.63 20(2) -> 38* 23.94/6.63 20(184) -> 185* 23.94/6.63 20(169) -> 170* 23.94/6.63 20(159) -> 160* 23.94/6.63 20(149) -> 150* 23.94/6.63 20(124) -> 125* 23.94/6.63 20(119) -> 120* 23.94/6.63 20(109) -> 110* 23.94/6.63 20(94) -> 80* 23.94/6.63 20(69) -> 70* 23.94/6.63 20(261) -> 243* 23.94/6.63 20(256) -> 257* 23.94/6.63 20(231) -> 232* 23.94/6.63 20(221) -> 222* 23.94/6.63 20(19) -> 15* 23.94/6.63 20(216) -> 217* 23.94/6.63 20(196) -> 197* 23.94/6.63 20(186) -> 187* 23.94/6.63 20(181) -> 182* 23.94/6.63 20(136) -> 137* 23.94/6.63 20(116) -> 117* 23.94/6.63 20(96) -> 97* 23.94/6.63 20(273) -> 274* 23.94/6.63 20(66) -> 67* 23.97/6.63 20(61) -> 62* 23.97/6.63 20(258) -> 259* 23.97/6.63 20(51) -> 44* 23.97/6.63 20(218) -> 219* 23.97/6.63 20(213) -> 214* 23.97/6.63 20(11) -> 81* 23.97/6.63 20(208) -> 209* 23.97/6.63 20(163) -> 164* 23.97/6.63 20(98) -> 99* 23.97/6.63 20(83) -> 84* 23.97/6.63 20(73) -> 74* 23.97/6.63 20(260) -> 261* 23.97/6.63 20(23) -> 20* 23.97/6.63 20(210) -> 211* 23.97/6.63 20(205) -> 206* 23.97/6.63 20(3) -> 4* 23.97/6.63 20(195) -> 196* 23.97/6.63 20(175) -> 176* 23.97/6.63 20(170) -> 151* 23.97/6.63 20(165) -> 166* 23.97/6.63 20(140) -> 141* 23.97/6.63 20(105) -> 106* 23.97/6.63 00(45) -> 46* 23.97/6.63 00(217) -> 218* 23.97/6.63 00(5) -> 25* 23.97/6.63 00(102) -> 103* 23.97/6.63 00(97) -> 98* 23.97/6.63 00(274) -> 275* 23.97/6.63 00(62) -> 63* 23.97/6.63 00(47) -> 48* 23.97/6.63 00(27) -> 152* 23.97/6.63 00(214) -> 215* 23.97/6.63 00(7) -> 33* 23.97/6.63 00(2) -> 3* 23.97/6.63 00(144) -> 145* 23.97/6.63 00(79) -> 68* 23.97/6.63 00(54) -> 55* 23.97/6.63 00(49) -> 50* 23.97/6.63 00(39) -> 40* 23.97/6.63 00(111) -> 112* 23.97/6.63 00(106) -> 95* 23.97/6.63 00(101) -> 102* 23.97/6.63 00(91) -> 92* 23.97/6.63 00(56) -> 57* 23.97/6.63 00(248) -> 249* 23.97/6.63 00(46) -> 47* 23.97/6.63 00(238) -> 239* 23.97/6.63 00(21) -> 22* 23.97/6.63 00(11) -> 12* 23.97/6.63 00(183) -> 184* 23.97/6.63 00(265) -> 266* 23.97/6.63 00(58) -> 59* 23.97/6.63 00(53) -> 225* 23.97/6.63 00(48) -> 49* 23.97/6.63 00(13) -> 96* 23.97/6.63 00(8) -> 9* 23.97/6.63 00(180) -> 181* 23.97/6.63 00(145) -> 146* 23.97/6.63 00(115) -> 116* 23.97/6.63 50(257) -> 258* 23.97/6.63 50(55) -> 56* 23.97/6.63 50(50) -> 51* 23.97/6.63 50(247) -> 248* 23.97/6.63 50(232) -> 233* 23.97/6.63 50(177) -> 178* 23.97/6.63 50(172) -> 173* 23.97/6.63 50(132) -> 133* 23.97/6.63 50(82) -> 83* 23.97/6.63 50(77) -> 78* 23.97/6.63 50(259) -> 260* 23.97/6.63 50(57) -> 58* 23.97/6.63 50(239) -> 240* 23.97/6.63 50(7) -> 8* 23.97/6.63 50(2) -> 11* 23.97/6.63 50(164) -> 165* 23.97/6.63 50(154) -> 155* 23.97/6.63 50(129) -> 130* 23.97/6.63 50(104) -> 105* 23.97/6.63 50(99) -> 100* 23.97/6.63 50(89) -> 90* 23.97/6.63 50(74) -> 75* 23.97/6.63 50(271) -> 272* 23.97/6.63 50(246) -> 247* 23.97/6.63 50(29) -> 30* 23.97/6.63 50(211) -> 212* 23.97/6.63 50(9) -> 6* 23.97/6.63 50(253) -> 254* 23.97/6.63 50(233) -> 234* 23.97/6.63 50(31) -> 26* 23.97/6.63 50(198) -> 199* 23.97/6.63 50(193) -> 194* 23.97/6.63 50(178) -> 179* 23.97/6.63 50(168) -> 169* 23.97/6.63 50(128) -> 129* 23.97/6.63 50(118) -> 119* 23.97/6.63 50(113) -> 114* 23.97/6.63 50(103) -> 104* 23.97/6.63 50(88) -> 89* 23.97/6.63 50(78) -> 79* 23.97/6.63 50(63) -> 64* 23.97/6.63 50(53) -> 61* 23.97/6.63 50(43) -> 37* 23.97/6.63 50(240) -> 241* 23.97/6.63 50(38) -> 39* 23.97/6.63 50(33) -> 34* 23.97/6.63 50(225) -> 226* 23.97/6.63 50(220) -> 221* 23.97/6.63 50(3) -> 16* 23.97/6.63 50(185) -> 186* 23.97/6.63 50(160) -> 161* 23.97/6.63 50(125) -> 126* 23.97/6.63 10(252) -> 253* 23.97/6.63 10(45) -> 69* 23.97/6.63 10(30) -> 31* 23.97/6.63 10(227) -> 228* 23.97/6.63 10(192) -> 193* 23.97/6.63 10(162) -> 163* 23.97/6.63 10(127) -> 128* 23.97/6.63 10(92) -> 93* 23.97/6.63 10(87) -> 88* 23.97/6.63 10(269) -> 270* 23.97/6.63 10(22) -> 23* 23.97/6.63 10(17) -> 18* 23.97/6.63 10(2) -> 7* 23.97/6.63 10(199) -> 200* 23.97/6.63 10(139) -> 140* 23.97/6.63 10(84) -> 85* 23.97/6.63 10(276) -> 277* 23.97/6.63 10(59) -> 52* 23.97/6.63 10(34) -> 35* 23.97/6.63 10(226) -> 227* 23.97/6.63 10(14) -> 10* 23.97/6.63 10(206) -> 190* 23.97/6.63 10(201) -> 202* 23.97/6.63 10(166) -> 167* 23.97/6.63 10(141) -> 142* 23.97/6.63 10(268) -> 269* 23.97/6.63 10(203) -> 204* 23.97/6.63 10(153) -> 154* 23.97/6.63 10(133) -> 121* 23.97/6.63 10(275) -> 276* 23.97/6.63 10(255) -> 256* 23.97/6.63 10(53) -> 54* 23.97/6.63 10(230) -> 231* 23.97/6.63 10(28) -> 29* 23.97/6.63 10(13) -> 14* 23.97/6.63 10(200) -> 201* 23.97/6.63 10(155) -> 156* 23.97/6.63 10(130) -> 131* 23.97/6.63 10(120) -> 107* 23.97/6.63 1 -> 7* 23.97/6.63 6 -> 38* 23.97/6.63 10 -> 3,225,25 23.97/6.63 15 -> 38,209 23.97/6.63 20 -> 27* 23.97/6.63 24 -> 7* 23.97/6.63 26 -> 11* 23.97/6.63 32 -> 7,54 23.97/6.63 37 -> 7,54,29 23.97/6.63 44 -> 38,81 23.97/6.63 52 -> 38,4 23.97/6.63 60 -> 7,54 23.97/6.63 68 -> 3* 23.97/6.63 80 -> 11* 23.97/6.63 95 -> 38,4 23.97/6.63 107 -> 7* 23.97/6.63 121 -> 7* 23.97/6.63 134 -> 11* 23.97/6.63 151 -> 27,135 23.97/6.63 171 -> 27,135 23.97/6.63 190 -> 3,225 23.97/6.63 207 -> 38* 23.97/6.63 224 -> 7* 23.97/6.63 243 -> 38,21 23.97/6.63 262 -> 53* 23.97/6.63 problem: 23.97/6.63 23.97/6.63 Qed 23.97/6.64 EOF