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Uniting Normal and Non-Normal Modal Logics by One Axiomatic System of Philosophical Epistemology
For the first time in analytic philosophy the universal theory of knowledge is precisely formulated and defined as an axiomatic system ?. For formulating it four axiom schemes are used.
V.O. Lobovikov
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Ł-Axiomatizability in intermediate and normal modal logics
A set $F$ of formulas is complete relative to a given class of logics, if every logic from this class can be axiomatized by formulas from $F$. A set of formulas $F$ is -complete relative to a given class of logics, if every logic of this class can be -axiomatized by formulas from $F$, that is, every of these logics can be defined by an ...
Alex Citkin
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"Knowing value" logic as a normal modal logic
21 pages, in Advances in Modal Logic Vol 11: 362-381 College Publications. This is a draft with a more detailed proof of Prop.
Tao Gu, Yanjing Wang
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Normal forms in modal logic. [PDF]
Kit Fine
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A tableau-like proof procedure for normal modal logics
This is an extension to modal logic of the following proof search procedure for classical propositional logic: Expand the goal formula \(G\) into conjunctive normal form and apply the resolution method to the resulting set of clauses. Since these rules of expansion are dual to the standard Gentzen-type rules, the author uses the term ``dual clauses ...
Zoran Ognjanović
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Evolutionary epistemology and non-normal modal logic of knowledge [PDF]
Владимир Олегович Лобовиков
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Note on the Intuitionistic Logic of False Belief
In this paper we analyse logic of false belief in the intuitionistic setting. This logic, studied in its classical version by Steinsvold, Fan, Gilbert and Venturi, describes the following situation: a formula $\varphi$ is not satisfied in a given world ...
Tomasz Witczak
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Graphical Sequent Calculi for Modal Logics [PDF]
The syntax of modal graphs is defined in terms of the continuous cut and broken cut following Charles Peirce's notation in the gamma part of his graphical logic of existential graphs.
Minghui Ma, Ahti-Veikko Pietarinen
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Canonicity of Proofs in Constructive Modal Logic [PDF]
In this paper we investigate the Curry-Howard correspondence for constructive modal logic in light of the gap between the proof equivalences enforced by the lambda calculi from the literature and by the recently defined winning strategies for this logic.
Matteo Acclavio+2 more
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Density of truth in modal logics [PDF]
The aim of this paper is counting the probability that a random modal formula is a tautology. We examine $\{ \to,\Box \}$ fragment of two modal logics $\mathbf{S5}$ and $\mathbf{S4}$ over the language with one propositional variable.
Zofia Kostrzycka
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