Isomorphic formulae in classical propositional logic

Mathematical Logic Quarterly 58 (1):5-17 (2012)
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Abstract

Isomorphism between formulae is defined with respect to categories formalizing equality of deductions in classical propositional logic and in the multiplicative fragment of classical linear propositional logic caught by proof nets. This equality is motivated by generality of deductions. Characterizations are given for pairs of isomorphic formulae, which lead to decision procedures for this isomorphism.

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original Petrić, Zoran; Došen, Kosta (2011) "Isomorphic formulae in classical propositional logic". Mathematical Logic Quarterly 58(1‐2):5-17

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Citations of this work

A Note on Synonymy in Proof-Theoretic Semantics.Heinrich Wansing - 2024 - In Thomas Piecha & Kai F. Wehmeier, Peter Schroeder-Heister on Proof-Theoretic Semantics. Cham: Springer Nature Switzerland. pp. 339-362.
Peter Schroeder-Heister on Proof-Theoretic Semantics.Thomas Piecha & Kai F. Wehmeier (eds.) - 2024 - Cham: Springer Nature Switzerland.
Logics of Synonymy.Levin Hornischer - 2020 - Journal of Philosophical Logic 49 (4):767-805.
On Sets of Premises.Kosta Došen - 2016 - In Dieter Probst & Peter Schuster, Concepts of Proof in Mathematics, Philosophy, and Computer Science. Berlin, Boston: De Gruyter. pp. 151-162.

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References found in this work

Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
Proof-Theoretic Semantics.Peter Schroeder-Heister - 2024 - Stanford Encyclopedia of Philosophy.
Identity of proofs based on normalization and generality.Kosta Došen - 2003 - Bulletin of Symbolic Logic 9 (4):477-503.

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