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20202026
most citedProof-theoretic Semantics for the Logic of Bunched Implications

2 citations · 12 across the 23 of their papers we have counts for

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8 papers · 1 filter

math.LO2026

Inferentialist Game Semantics (Extended Abstract)

Joaquim T. Waddington, Alexander V. Gheorghiu, David J. Pym

Game semantics is an elegant approach to the formal semantics of reasoning and computation that grounds model-theoretic concepts of truth and validity in game-theoretic concepts th…

math.LO2026

In Defence of the Material Conditional

Alexander V. Gheorghiu

The material conditional has long been charged with paradox. Defined truth-functionally, it renders true any conditional whose antecedent is false or consequent true -- hence, seem…

math.LO2026

On the Concept of Arithmetic Conseqeunce

Alexander V. Gheorghiu

Gödel's second incompleteness theorem is standardly understood as showing that no sufficiently strong, consistent theory of arithmetic can prove its own consistency, a result typic…

math.LO2025

Proof-theoretic Semantics for Second-order Logic

Alexander V. Gheorghiu, David J. Pym

We develop a proof-theoretic semantics (P-tS) for second-order logic (S-oL), providing an inferentialist alternative to both full and Henkin model-theoretic interpretations. Our ap…

math.LO2025

Classical Logic without Bivalance

Alexander V. Gheorghiu

Sandqvis's semantics for classical logic without bivalence resolves the question of an anti-realist account of classical reasoning after Dummett. This paper applies the framework t…

math.LO2025

On an Inferential Semantics for Intuitionistic Sentential Logic

Alexander V. Gheorghiu

Sandqvist's base-extension semantics (B-eS) for intuitionistic sentential logic grounds meaning relative to bases (rather than, say, models), which are arbitrary sets of permitted…

math.LO2025★ 1 cited

Classical Logic as Intuitionistic Logic with Duality

Alexander V. Gheorghiu, Yll Buzoku

The field of proof-theoretic semantics (P-tS) offers an alternative approach to meaning in logic that is based on inference and argument (rather than truth in a model). It has been…

math.LO2024

Proof-theoretic Semantics for First-order Logic

Alexander V. Gheorghiu

Sandqvist gave a proof-theoretic semantics (P-tS) for classical logic (CL) that explicates the meaning of the connectives without assuming bivalance. Later, he gave a semantics for…