Predicate logical extensions of some subintuitionistic logics

Studia Logica 91 (1):131 - 138 (2009)
The paper presents predicate logical extensions of some subintuitionistic logics. Subintuitionistic logics result if conditions of the accessibility relation in Kripke models for intuitionistic logic are dropped. The accessibility relation which interprets implication in models for the propositional base subintuitionistic logic considered here is neither persistent on atoms, nor reflexive, nor transitive. Strongly complete predicate logical extensions are modeled with a second accessibility relation, which is a partial order, for the interpretation of the universal quantifier.
Keywords Kripke semantics  (sub)intuitionistic logic  predicate logic
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References found in this work BETA
Giovanna Corsi (1987). Weak Logics with Strict Implication. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 33 (5):389-406.
Greg Restall (1994). Subintuitionistic Logics. Notre Dame Journal of Formal Logic 35 (1):116-129.

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