11.05/3.14 YES 11.05/3.14 11.05/3.14 Problem: 11.05/3.14 strict: 11.05/3.14 b(b(x1)) -> c(b(c(x1))) 11.05/3.14 c(c(c(x1))) -> a(x1) 11.05/3.14 weak: 11.05/3.14 a(x1) -> a(c(b(x1))) 11.05/3.14 11.05/3.14 Proof: 11.05/3.14 Bounds Processor: 11.05/3.14 bound: 2 11.05/3.14 enrichment: match-rt 11.05/3.14 automaton: 11.05/3.14 final states: {4} 11.05/3.14 transitions: 11.05/3.14 c1(42) -> 43* 11.05/3.14 c1(9) -> 10* 11.05/3.14 c1(11) -> 12* 11.05/3.14 b1(10) -> 11* 11.05/3.14 b1(52) -> 53* 11.05/3.14 b1(64) -> 65* 11.05/3.14 b1(41) -> 42* 11.05/3.14 a1(37) -> 38* 11.05/3.14 a1(23) -> 24* 11.05/3.14 c2(72) -> 73* 11.05/3.14 c2(129) -> 130* 11.05/3.14 c2(121) -> 122* 11.05/3.14 c2(56) -> 57* 11.05/3.14 c2(153) -> 154* 11.05/3.14 c2(58) -> 59* 11.05/3.14 b0(4) -> 4* 11.05/3.14 b2(152) -> 153* 11.05/3.14 b2(57) -> 58* 11.05/3.14 b2(146) -> 147* 11.05/3.14 b2(148) -> 149* 11.05/3.14 b2(128) -> 129* 11.05/3.14 b2(120) -> 121* 11.05/3.14 c0(4) -> 4* 11.05/3.14 a2(80) -> 81* 11.05/3.14 a2(122) -> 123* 11.05/3.14 a2(130) -> 131* 11.05/3.14 a0(4) -> 4* 11.05/3.14 4 -> 41,37,9 11.05/3.14 10 -> 56* 11.05/3.14 11 -> 80,23 11.05/3.14 12 -> 129,65,42,4 11.05/3.14 23 -> 120,52 11.05/3.14 24 -> 73,43,12,10,4 11.05/3.14 37 -> 128,64 11.05/3.14 38 -> 73,57,10 11.05/3.14 43 -> 23* 11.05/3.14 53 -> 42* 11.05/3.14 59 -> 153,121,53 11.05/3.14 64 -> 72* 11.05/3.14 65 -> 11* 11.05/3.14 73 -> 57* 11.05/3.14 80 -> 152* 11.05/3.14 81 -> 130,73,57 11.05/3.14 122 -> 146* 11.05/3.14 123 -> 24* 11.05/3.14 130 -> 148* 11.05/3.14 131 -> 38* 11.05/3.14 147 -> 121* 11.05/3.14 149 -> 129* 11.05/3.14 154 -> 80* 11.05/3.14 problem: 11.05/3.14 strict: 11.05/3.14 c(c(c(x1))) -> a(x1) 11.05/3.14 weak: 11.05/3.14 a(x1) -> a(c(b(x1))) 11.05/3.14 Arctic Interpretation Processor: 11.05/3.14 dimension: 2 11.05/3.14 interpretation: 11.05/3.14 [4 0 ] 11.05/3.14 [a](x0) = [-& -&]x0, 11.05/3.14 11.05/3.14 [0 0] 11.05/3.14 [c](x0) = [4 2]x0, 11.05/3.14 11.05/3.14 [0 -&] 11.05/3.14 [b](x0) = [0 -&]x0 11.05/3.14 orientation: 11.05/3.14 [6 4] [4 0 ] 11.05/3.14 c(c(c(x1))) = [8 6]x1 >= [-& -&]x1 = a(x1) 11.05/3.14 11.05/3.14 [4 0 ] [4 -&] 11.05/3.14 a(x1) = [-& -&]x1 >= [-& -&]x1 = a(c(b(x1))) 11.05/3.14 problem: 11.05/3.14 strict: 11.05/3.14 11.05/3.14 weak: 11.05/3.14 a(x1) -> a(c(b(x1))) 11.05/3.14 Qed 11.05/3.15 EOF