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Paper IPM / M / 17373 | ||||||||||||||||||||||
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Abstract: | ||||||||||||||||||||||
We present algebraic semantics for the classical logic of proofs based on Boolean algebras. We also extend the language of the logic of proofs in order to have a Boolean structure on proof terms and equality predicate on terms. Moreover, the completeness theorem and certain generalizations of Stoneâs representation theorem are obtained for all proposed algebras.
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