Subintuitionistic Logics

Greg Restall

doi:10.1305/ndjfl/1040609299

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Home > Journals > Notre Dame J. Formal Logic > Volume 35 > Issue 1 > Article

Winter 1994 Subintuitionistic Logics

Greg Restall

Notre Dame J. Formal Logic 35(1): 116-129 (Winter 1994). DOI: 10.1305/ndjfl/1040609299

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Abstract

Weakening the conditions on the Kripke semantics for propositional intuitionistic logic (J) unearths a family of logics below J. This paper provides a characterization of eleven such logics, using Kripke semantics, proof theory, and algebraic models. Questions about modelling quantification in these logics are also discussed.