Intuitionistic Sahlqvist theory for deductive systems

Publication date

2025-04-30T14:58:54Z

2025-04-30T14:58:54Z

2024-12-01

2025-04-30T14:58:54Z

Abstract

Sahlqvist theory is extended to the fragments of the intuitionistic propositional calculus that include the conjunction connective. This allows us to introduce a Sahlqvist theory of intuitionistic character amenable to arbitrary protoalgebraic deductive systems. As an application, we obtain a Sahlqvist theorem for the fragments of the intuitionistic propositional calculus that include the implication connective and for the extensions of the intuitionistic linear logic.

Document Type

Article


Published version

Language

English

Publisher

Association for Symbolic Logic.

Related items

Reproducció del document publicat a: https://doi.org/10.1017/jsl.2023.7

Journal of Symbolic Logic, 2024, vol. 89, num.4, p. 1522-1580

https://doi.org/10.1017/jsl.2023.7

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Rights

cc by-nc-sa (c) Fornasiere, Damiano et al., 2023

http://creativecommons.org/licenses/by-nc-sa/3.0/es/

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