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arXiv · 2404.13480

Conditional algebras

Sergio Celani·Rafał Gruszczyński·Paula Menchón
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Abstract

Drawing on the classic paper by Chellas "Basic conditional logic" (1975), we propose a general algebraic framework for studying a binary operation of conditional that models universal features of the "if..., then..." connective as strictly related to the unary modal necessity operator. To this end, we introduce a variety of conditional algebras, and we develop its duality and canonical extensions theory.

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Sergio Celani, Rafał Gruszczyński, Paula Menchón. 2024-04-20. Conditional algebras. https://arxiv.org/abs/2404.13480

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