Individual concepts as propositional variables in ${\rm ML}^{\nu+1}$. [PDF]
The author studies the many-sorted quantified modal systems defined previously by \textit{A. Bressan} [A general interpreted modal calculus (1972; Zbl 0255.02015); Aspects of philosophical logic, Synth. Libr. 147, 21-66 (1981; Zbl 0476.03028)]. \(ML^{\nu}\) (\(\nu\) : a positive integer) is a typed language, \(MC^{\nu}\) is a calculus (an extension of ...
Alberto Zanardo
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Propositional Independence - Formula-Variable Independence and Forgetting
Independence -- the study of what is relevant to a given problem of reasoning -- has received an increasing attention from the AI community. In this paper, we consider two basic forms of independence, namely, a syntactic one and a semantic one. We show features and drawbacks of them.
J. Lang, LIBERATORE, Paolo, P. Marquis
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On the number of variables in undecidable superintuitionistic propositional calculi [PDF]
18 pages, 1 ...
Grigoriy V. Bokov
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La macro-proposition : unité compositionnelle variable
Dans cet article nous présentons une réflexion sur la composition et la segmentation textuelle au delà du niveau de la phrase. Après un examen de plusieurs approches, nous concentrons notre étude sur la place et les fonctions de la macro-proposition, unité centrale et intermédiaire entre proposition et séquence.
André Avias
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Classical propositional logic and decidability of variables in intuitionistic propositional logic [PDF]
We improve the answer to the question: what set of excluded middles for propositional variables in a formula suffices to prove the formula in intuitionistic propositional logic whenever it is provable in classical propositional logic.
Hajime Ishihara
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Monodic temporal logic with quantified propositional variables [PDF]
We extend the monodic fragment of first-order linear temporal logic to include right-linear grammar operators and quantification of propositional variables. Unlike propositional temporal logic, the use of grammar operators in first-order temporal logic is not equivalent to general propositional quantification, as the latter admit satisfiable formulae ...
Walter Hussak
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Note on the signed occurrences of propositional variables
This note concerns the positive and negative occurrences of propositional variables. Just like the theory of infectious truth-values provides an algebraic understanding of the position according to which identity of subject-matter between two formulas can approximated syntactically by the identity of propositional variables occurring in these formulas,
Thomas Randriamahazaka
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A Complete Calculus for Possibilistic Logic Programming with Fuzzy Propositional Variables [PDF]
Appears in Proceedings of the Sixteenth Conference on Uncertainty in Artificial Intelligence (UAI2000)
Alsinet, Teresa, Godo, Lluis
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The decidability of one-variable propositional calculi. [PDF]
M. D. Gladstone
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On complexity of propositional linear-time temporal logic with finitely many variables [PDF]
It is known [DemriSchnoebelen02] that both satisfiability and model-checking problems for propositional Linear-time Temporal Logic, LTL, with only a single propositional variable in the language are PSPACE-complete, which coincides with the complexity of these problems for LTL with an arbitrary number of propositional variables [SislaClarke85].
Rybakov, Mikhail, Shkatov, Dmitry
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