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Universal Algebraic Methods for Non-classical Logics

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Hiroakira Ono on Substructural Logics

Part of the book series: Outstanding Contributions to Logic ((OCTR,volume 23))

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Abstract

This expository article is a compilation of universal algebraic prerequisites and tools for the analysis of non-classical logics, with particular (but not exclusive) reference to substructural logics.

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Notes

  1. 1.

    There, for a given \(\mathsf {V}\), the term on the right of the displayed inclusion in (5) can be replaced by a \(\wedge ,\circ \) term; cf. the proof of [81, Theorem 4.7]. Further characterizations of the varieties in Theorem 12.5 are provided in [81], one of which is the satisfaction of a nontrivial congruence equation in the infinitary language of meet-continuous lattices.

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    James G. Raftery

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Correspondence to James G. Raftery .

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  1. Department of Mathematics, University of Denver, Denver, CO, USA

    Nikolaos Galatos

  2. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

    Kazushige Terui

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Raftery, J.G. (2022). Universal Algebraic Methods for Non-classical Logics. In: Galatos, N., Terui, K. (eds) Hiroakira Ono on Substructural Logics. Outstanding Contributions to Logic, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-030-76920-8_2

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