A lower bound for intuitionistic logic

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A lower bound for intuitionistic logic

We give an exponential lower bound on number of proof-lines in intuitionistic propositional logic, IL, axiomatised in the usual Frege-style fashion; i.e., we give an example of IL-tautologies A1, A2, . . . s.t. every IL-proof of Ai must have a number of proof-lines exponential in terms of the size of Ai. We show that the results do not apply to the system of classical logic and we obtain an exp...

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 2007

ISSN: 0168-0072

DOI: 10.1016/j.apal.2007.01.001