Results 11 to 20 of about 506,932 (281)
Löwenheim-Skolem theorems for non-classical first-order algebraizable logics [PDF]
Logic Journal of IGPL, 2016 This article is a contribution to the model theory of non-classical first-order predicate logics. In a wide framework of firstorder systems based on algebraizable logics, we study several notions of homomorphisms between models and find suitable definitions of elementary homomorphism, elementary substructure and elementary equivalence.
Dellunde P. +2 more
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Satisfiability vs. Finite Satisfiability in Elementary Modal Logics [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We study elementary modal logics, i.e. modal logic considered over first-order definable classes of frames. The classical semantics of modal logic allows infinite structures, but often practical applications require to restrict our attention to finite ...
Jakub Michaliszyn +2 more
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, 2022 One is often said to be reasoning well when they are reasoning logically. Many attempts to say what logical reasoning is have been proposed, but one commonly proposed system is first-order classical logic. This Element will examine the basics of first-order classical logic and discuss some surrounding philosophical issues. The first half of the Element
Shapiro, Stewart, Kouri-Kissel, Teresa
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An Arithmetically Complete Predicate Modal Logic
Bulletin of the Section of Logic, 2021 This paper investigates a first-order extension of GL called \(\textup{ML}^3\). We outline briefly the history that led to \(\textup{ML}^3\), its key properties and some of its toolbox: the \emph{conservation theorem}, its cut-free Gentzenisation, the ...
Yunge Hao, George Tourlakis
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A comparative study of the position of ethics in the law of obligations in the legal system of Iran and France [PDF]
اخلاق وحیانی, 2022 The relationship between ethics and law has long been a point of contention between jurists and philosophers. In general, there are two views, classical and modern; The first view implies that there is a fundamental difference between these two branches ...
Mostafa Harati
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Duality Theory and Categorical Universal Logic: With Emphasis on Quantum Structures [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Categorical Universal Logic is a theory of monad-relativised hyperdoctrines (or fibred universal algebras), which in particular encompasses categorical forms of both first-order and higher-order quantum logics as well as classical, intuitionistic, and ...
Yoshihiro Maruyama
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Cut Elimination for Extended Sequent Calculi
Bulletin of the Section of Logic, 2023 We present a syntactical cut-elimination proof for an extended sequent calculus covering the classical modal logics in the \(\mathsf{K}\), \(\mathsf{D}\), \(\mathsf{T}\), \(\mathsf{K4}\), \(\mathsf{D4}\) and \(\mathsf{S4}\) spectrum.
Simone Martini +2 more
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On the Succinctness of Atoms of Dependency [PDF]
Logical Methods in Computer Science, 2019 Propositional team logic is the propositional analog to first-order team logic. Non-classical atoms of dependence, independence, inclusion, exclusion and anonymity can be expressed in it, but for all atoms except dependence only exponential translations ...
Martin Lück, Miikka Vilander
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On the system CL12 of computability logic [PDF]
Logical Methods in Computer Science, 2015 Computability logic (see http://www.csc.villanova.edu/~japaridz/CL/) is a long-term project for redeveloping logic on the basis of a constructive game semantics, with games seen as abstract models of interactive computational problems.
Giorgi Japaridze
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Embedding Non-Ground Logic Programs into Autoepistemic Logic for Knowledge Base Combination [PDF]
, 2010 In the context of the Semantic Web, several approaches to the combination of ontologies, given in terms of theories of classical first-order logic and rule bases, have been proposed.
Axel Polleres +4 more
core +2 more sources