Sezgisel önermeler lojiği için semantikler

Öz

Bu çalışmada Sezgisel Önermeler Lojiği (IPL) için üç semantik sunuyoruz; yani Kripke semantiği, Heyting semantiği ve topolojik semantik.  IPL’nin bu semantiklere göre sağlam ve tam olduğunu gösteriyoruz. 

Anahtar Kelimeler

• Sezgisel lojik,Kripke semantiği,modal lojik,Heyting cebirleri,topolojik semantik

Semantics for intuitionistic propositional logic

Öz

In this study we present three semantics for Intuitionistic Propositional Logic (IPL); namely, Kripke semantics, Heyting semantics, and topological semantics. We show that IPL is sound and complete with respect to these semantics.

Anahtar Kelimeler

• Intuitionistic logic,Kripke semantics,modal logic,Heyting algebras,topologic semantics

Kaynakça

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7. Moniri, M. ve Maleki, F.S, Neighborhood semantics for basic and ıntuitionistic logic, Logic and Logical Philosophy, 24, 334-355, (2015).
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10. Van Dalen, D., Logic and Structure, Springer, (2012).
11. Witczak, T., Intuitionistic modal logic based on neighborhood semantics without superset axiom, arXiv:1707.03859v2[math L0], (2017).