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<p>Proof-theoretic semantics (P-tS) is the approach to meaning in logic based on <i>proof</i> (as opposed to truth). There are two major approaches to P-tS: proof-theoretic validity (P-tV) and base-extension semantics (B-eS). The former is a semantics of arguments, and the latter is a semantics of logical constants. This paper demonstrates that the B-eS for <i>intuitionistic propositional logic</i> (IPL) encapsulates the declarative content of a version of P-tV based on the elimination rules. This explicates how the B-eS for IPL works, and shows the completeness of this version of P-tV.</p>

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From Proof-Theoretic Validity to Base-Extension Semantics for Intuitionistic Propositional Logic

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月9日

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  • Alexander V. Gheorghiu,
  • David J. Pym

摘要

Proof-theoretic semantics (P-tS) is the approach to meaning in logic based on proof (as opposed to truth). There are two major approaches to P-tS: proof-theoretic validity (P-tV) and base-extension semantics (B-eS). The former is a semantics of arguments, and the latter is a semantics of logical constants. This paper demonstrates that the B-eS for intuitionistic propositional logic (IPL) encapsulates the declarative content of a version of P-tV based on the elimination rules. This explicates how the B-eS for IPL works, and shows the completeness of this version of P-tV.