Soundness and Completeness of Implicational Logic

Asta Halkjær From, Jørgen Villadsen

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

This work is a formalization of soundness and completeness of the Bernays-Tarski axiom system for classical implicational logic. The completeness proof is constructive following the approach by László Kalmár, Elliott Mendelson and others. The result can be extended to full classical propositional logic by uncommenting a few lines for falsehood.
Original languageEnglish
Book seriesArchive of Formal Proofs
Number of pages12
ISSN2150-914X
Publication statusPublished - 2022

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