MAYBE Problem: a(b(a(x1))) -> a(a(b(b(a(a(x1)))))) b(a(a(b(x1)))) -> b(a(b(x1))) Proof: Complexity Transformation Processor: strict: a(b(a(x1))) -> a(a(b(b(a(a(x1)))))) b(a(a(b(x1)))) -> b(a(b(x1))) weak: Matrix Interpretation Processor: dimension: 3 max_matrix: [1 1 1] [0 0 1] [0 0 0] interpretation: [1 0 1] [0] [b](x0) = [0 0 1]x0 + [1] [0 0 0] [0], [1 1 0] [0] [a](x0) = [0 0 0]x0 + [0] [0 0 0] [1] orientation: [1 1 0] [3] [1 1 0] [2] a(b(a(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(a(b(b(a(a(x1)))))) [0 0 0] [1] [0 0 0] [1] [1 0 2] [2] [1 0 2] [2] b(a(a(b(x1)))) = [0 0 0]x1 + [2] >= [0 0 0]x1 + [2] = b(a(b(x1))) [0 0 0] [0] [0 0 0] [0] problem: strict: b(a(a(b(x1)))) -> b(a(b(x1))) weak: a(b(a(x1))) -> a(a(b(b(a(a(x1)))))) Open