Results 21 to 30 of about 32,356 (302)
A Paradox for the Existence Predicate
In this paper, a paradox is shown to arise in the context of classical logic from prima facie highly plausible assumptions for the existence predicate as applied to definite descriptions.
Uwe Meixner
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Bisimulation in Inquisitive Modal Logic [PDF]
Inquisitive modal logic, InqML, is a generalisation of standard Kripke-style modal logic. In its epistemic incarnation, it extends standard epistemic logic to capture not just the information that agents have, but also the questions that they are ...
Ivano Ciardelli, Martin Otto
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Systematic Verification of the Modal Logic Cube in Isabelle/HOL [PDF]
We present an automated verification of the well-known modal logic cube in Isabelle/HOL, in which we prove the inclusion relations between the cube's logics using automated reasoning tools. Prior work addresses this problem but without restriction to the
Christoph Benzmüller +2 more
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Satisfiability vs. Finite Satisfiability in Elementary Modal Logics [PDF]
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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An Arithmetically Complete Predicate Modal Logic
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]
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]
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
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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Combining First-Order Classical and Intuitionistic Logic
In Proceedings NCL 2022, arXiv:2204 ...
Toyooka, Masanobu, Sano, Katsuhiko
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On the Succinctness of Atoms of Dependency [PDF]
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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