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arXiv · 2106.10931

Algebraic Semantics for the Logic of Proofs

Amir Farahmand Parsa·Meghdad Ghari
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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 justification terms and equality predicate on terms. In the end, the completeness theorem and certain generalizations of Stone's representation theorem are obtained for all proposed algebras.

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Amir Farahmand Parsa, Meghdad Ghari. 2021-06-21. Algebraic Semantics for the Logic of Proofs. https://doi.org/10.1007/s11225-022-10033-2

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