0.75/0.60 YES 0.75/0.60 0.75/0.60 Problem: 0.75/0.60 strict: 0.75/0.60 f(x) -> x 0.75/0.60 g(x) -> x 0.75/0.60 weak: 0.75/0.60 f(x) -> g(x) 0.75/0.60 g(x) -> f(x) 0.75/0.60 0.75/0.60 Proof: 0.75/0.60 Arctic Interpretation Processor: 0.75/0.60 dimension: 4 0.75/0.60 interpretation: 0.75/0.60 [1 0 -& -&] 0.75/0.60 [0 2 -& -&] 0.75/0.60 [g](x0) = [-& -& 1 0 ]x0 0.75/0.60 [0 0 -& 1 ] , 0.75/0.60 0.75/0.60 [1 0 -& -&] 0.75/0.60 [0 2 -& -&] 0.75/0.60 [f](x0) = [-& -& 1 0 ]x0 0.75/0.60 [0 0 -& 1 ] 0.75/0.60 orientation: 0.75/0.60 [1 0 -& -&] 0.75/0.60 [0 2 -& -&] 0.75/0.60 f(x) = [-& -& 1 0 ]x >= x = x 0.75/0.60 [0 0 -& 1 ] 0.75/0.60 0.75/0.60 [1 0 -& -&] 0.75/0.60 [0 2 -& -&] 0.75/0.60 g(x) = [-& -& 1 0 ]x >= x = x 0.75/0.60 [0 0 -& 1 ] 0.75/0.60 0.75/0.60 [1 0 -& -&] [1 0 -& -&] 0.75/0.60 [0 2 -& -&] [0 2 -& -&] 0.75/0.60 f(x) = [-& -& 1 0 ]x >= [-& -& 1 0 ]x = g(x) 0.75/0.60 [0 0 -& 1 ] [0 0 -& 1 ] 0.75/0.60 0.75/0.60 [1 0 -& -&] [1 0 -& -&] 0.75/0.60 [0 2 -& -&] [0 2 -& -&] 0.75/0.60 g(x) = [-& -& 1 0 ]x >= [-& -& 1 0 ]x = f(x) 0.75/0.60 [0 0 -& 1 ] [0 0 -& 1 ] 0.75/0.60 problem: 0.75/0.60 strict: 0.75/0.60 0.75/0.60 weak: 0.75/0.60 f(x) -> g(x) 0.75/0.60 g(x) -> f(x) 0.75/0.60 Qed 0.75/0.60 EOF