1.95/0.85 YES 1.95/0.85 1.95/0.85 Problem: 1.95/0.85 strict: 1.95/0.85 f(g(x)) -> x 1.95/0.85 weak: 1.95/0.85 a() -> h(g(f(a()))) 1.95/0.85 1.95/0.85 Proof: 1.95/0.85 Arctic Interpretation Processor: 1.95/0.85 dimension: 2 1.95/0.85 interpretation: 1.95/0.85 [0 0 ] 1.95/0.85 [h](x0) = [-& -&]x0, 1.95/0.85 1.95/0.85 [1] 1.95/0.85 [a] = [0], 1.95/0.85 1.95/0.85 [0 1 ] 1.95/0.85 [f](x0) = [-& 0 ]x0, 1.95/0.85 1.95/0.85 [0 1] 1.95/0.85 [g](x0) = [0 1]x0 1.95/0.85 orientation: 1.95/0.85 [1 2] 1.95/0.85 f(g(x)) = [0 1]x >= x = x 1.95/0.85 1.95/0.85 [1] [1 ] 1.95/0.85 a() = [0] >= [-&] = h(g(f(a()))) 1.95/0.85 problem: 1.95/0.85 strict: 1.95/0.85 1.95/0.85 weak: 1.95/0.85 a() -> h(g(f(a()))) 1.95/0.85 Qed 1.95/0.85 EOF