Intuitionistic double negation as a necessity operator.
Došen, Kosta (1984)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Negative Modal Operators in Intuitionistic Logic”
Intuitionistic double negation as a necessity operator.
Semantics for some intermediate logics.
Božić, Milan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Positive Logic with Double Negation
Milan Božić (1984)
Publications de l'Institut Mathématique
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Semantical Proof of Subformula Property for the Modal Logics K4.3, KD4.3, and S4.3
Daishi Yazaki (2019)
Bulletin of the Section of Logic
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The main purpose of this paper is to give alternative proofs of syntactical and semantical properties, i.e. the subformula property and the nite model property, of the sequent calculi for the modal logics K4.3, KD4.3, and S4.3. The application of the inference rules is said to be acceptable, if all the formulas in the upper sequents are subformula of the formulas in lower sequent. For some modal logics, Takano analyzed the relationships between the acceptable inference rules and semantical...
On models of certain formulas of the predicate calculus of first order
B. P. Alimpić (1968)
Matematički Vesnik
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Higher-level Sequent-systems for Intuitionistic Modal Logic
Kosta Došen (1986)
Publications de l'Institut Mathématique
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On axiomatizability and preservation in Kripke models.
Markovic, Zoran (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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An Intuitionistic Ommiting Types Theorem
Zoran Marković (1979)
Publications de l'Institut Mathématique
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Algebraic and relational semantics for tense logics
Paola Unterholzner (1981)
Rendiconti del Seminario Matematico della Università di Padova
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On the relation of three-valued logic to modal logic
Kamila Bendová (1981)
Commentationes Mathematicae Universitatis Carolinae
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The Axiomatization of Propositional Logic
Mariusz Giero (2016)
Formalized Mathematics
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This article introduces propositional logic as a formal system ([14], [10], [11]). The formulae of the language are as follows φ ::= ⊥ | p | φ → φ. Other connectives are introduced as abbrevations. The notions of model and satisfaction in model are defined. The axioms are all the formulae of the following schemes α ⇒ (β ⇒ α), (α ⇒ (β ⇒ γ)) ⇒ ((α ⇒ β) ⇒ (α ⇒ γ)), (¬β ⇒ ¬α) ⇒ ((¬β ⇒ α) ⇒ β). Modus ponens is the only derivation rule. The soundness theorem and the strong completeness theorem...