Structural Completeness in Substructural Logics

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Logic Journal of the IGPL 16 (5):453-495 (2008)
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Abstract

Hereditary structural completeness is established for a range of substructural logics, mainly without the weakening rule, including fragments of various relevant or many-valued logics. Also, structural completeness is disproved for a range of systems, settling some previously open questions.

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10.1093/jigpal/jzn014

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Citations of this work

Structural and universal completeness in algebra and logic.Paolo Aglianò & Sara Ugolini - 2024 - Annals of Pure and Applied Logic 175 (3):103391.
Almost structural completeness; an algebraic approach.Wojciech Dzik & Michał M. Stronkowski - 2016 - Annals of Pure and Applied Logic 167 (7):525-556.
Structural Completeness in Fuzzy Logics.Petr Cintula & George Metcalfe - 2009 - Notre Dame Journal of Formal Logic 50 (2):153-182.
Hereditarily structurally complete positive logics.Alex Citkin - 2020 - Review of Symbolic Logic 13 (3):483-502.

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References found in this work

Algebraizable Logics.W. J. Blok & Don Pigozzi - 2022 - Advanced Reasoning Forum.
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Logics without the contraction rule.Hiroakira Ono & Yuichi Komori - 1985 - Journal of Symbolic Logic 50 (1):169-201.
Entailment: The Logic of Relevance and Necessity, Vol. 1.A. Anderson & N. Belnap (eds.) - 1975 - Princeton, NJ, USA: Princeton University Press.

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