From Proof-theoretic Validity to Base-extension Semantics for Intuitionistic Propositional Logic

Autor: Gheorghiu, Alexander V., Pym, David J.
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv