Algebraic semantics for the ‐fragment of and its properties

Mathematical Logic Quarterly 63 (3-4):202-210 (2017)
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Abstract

We study the variety of equivalential algebras with zero and its subquasivariety that gives the equivalent algebraic semantics for the ‐fragment of intuitionistic propositional logic. We prove that this fragment is hereditarily structurally complete. Moreover, we effectively construct the finitely generated free equivalential algebras with zero.

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10.1002/malq.201600046

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Fregean logics.J. Czelakowski & D. Pigozzi - 2004 - Annals of Pure and Applied Logic 127 (1-3):17-76.
Algebraic semantics for the (↔,¬¬)‐fragment of IPC.Katarzyna Słomczyńska - 2012 - Mathematical Logic Quarterly 58 (1-2):29-37.

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