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arXiv · 2208.00691

Intuitionistic Sahlqvist theory for deductive systems

Damiano Fornasiere·Tommaso Moraschini
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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.

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Damiano Fornasiere, Tommaso Moraschini. 2022-08-01. Intuitionistic Sahlqvist theory for deductive systems. https://doi.org/10.1017/jsl.2023.7

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