Independence of countable sets of formulas of the propositional logic

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Date

2013

Authors

Tahsi̊n Öner
Mehmet Terziler

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Charles Babbage Research Centre

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Abstract

In this paper we prove that every countable set of formulas of the propositional logic has at least one equivalent independent subset. We illustrate the situation by considering axioms for Boolean algebras, the proof of independence we give uses model forming. © 2023 Elsevier B.V. All rights reserved.

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Axiomatizability, Classical Logic, Completeness, Consistence, Independence

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