Another Neighbourhood Semantics for Intuitionistic Logic

Logic Journal of the IGPL (forthcoming)
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Abstract

In this paper we first introduce a new neighbourhood semantics for propositional intuitionistic logic. We then naturally extend this semantics to first-order intuitionistic logic. We also study bisimulation between neighbourhood models and prove some of their basic properties for both propositional and first-order intuitionistic logic.

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Citations of this work

Subintuitionistic logics and their modal companions: a nested approach.Matteo Tesi - forthcoming - Journal of Applied Non-Classical Logics:1-34.

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References found in this work

Universal grammar.Richard Montague - 1970 - Theoria 36 (3):373--398.
Weak Logics with Strict Implication.Giovanna Corsi - 1987 - Mathematical Logic Quarterly 33 (5):389-406.
Model Theory: An Introduction.David Marker - 2003 - Bulletin of Symbolic Logic 9 (3):408-409.
Back and Forth Between First-Order Kripke Models.Tomasz Połacik - 2008 - Logic Journal of the IGPL 16 (4):335-355.

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