Abstract

We introduce an axiomatization for the notion of computation. Based on the idea of Brouwer choice sequences, we construct a model, denoted by EE, which satisfies our axioms and E⊨P≠NPE \models \mathrm{ P \neq NP}. In other words, regarding "effective computability" in Brouwer intuitionism viewpoint, we show P≠NP\mathrm{ P \neq NP}.

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