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Canonical models are of central importance in modal logic, in particular as they witness strong completeness and hence compactness. While the canonical model construction is well understood for Kripke semantics, non-normal modal logics…

Logic in Computer Science · Computer Science 2009-02-13 Lutz Schröder , Dirk Pattinson

Possibilistic logic bases and possibilistic graphs are two different frameworks of interest for representing knowledge. The former stratifies the pieces of knowledge (expressed by logical formulas) according to their level of certainty,…

Artificial Intelligence · Computer Science 2013-01-30 Salem Benferhat , Didier Dubois , Laurent Garcia , Henri Prade

We present a logical system that combines the well-known classical epistemic concepts of belief and knowledge with a concept of evidence such that the intuitive principle \textit{`evidence yields belief and knowledge'} is satisfied. Our…

Logic in Computer Science · Computer Science 2023-04-05 Steffen Lewitzka , Vinícius Pinto

In this paper, we address the logic of knowing why, an example of a non-standard epistemic logic dealing with justified knowledge via a new epistemic operator, under the extensions with ideas from dynamic epistemic logic, namely public…

Logic · Mathematics 2018-09-24 Nicholas Pischke

We introduce FIK, a natural intuitionistic modal logic specified by Kripke models satisfying the condition of forward confluence. We give a complete Hilbert-style axiomatization of this logic and propose a bi-nested calculus for it. The…

Logic in Computer Science · Computer Science 2023-09-13 Philippe Balbiani , Han Gao , Çiğdem Gencer , Nicola Olivetti

We introduce a framework for reasoning about the security of computer systems using modal logic. This framework is sufficiently expressive to capture a variety of known security properties, while also being intuitive and independent of…

Cryptography and Security · Computer Science 2023-09-19 Matvey Soloviev , Musard Balliu , Roberto Guanciale

Classical probability theory is formulated using sets. In this paper, we extend classical probability theory with propositional computability logic. Unlike other formalisms, computability logic is built on the notion of events/games, which…

Artificial Intelligence · Computer Science 2020-06-23 Keehang Kwon

In Probabilistic Logic Nilsson uses the device of a probability distribution over a set of possible worlds to assign probabilities to the sentences of a logical language. In his paper Nilsson concentrated on inference and associated…

Artificial Intelligence · Computer Science 2013-04-10 Fahiem Bacchus

This article aims to provide a unified and technical approach to semantic information, communication, and their interplay through the lens of probabilistic logic. To this end, on top of the existing technical communication (TC) layer, we…

Information Theory · Computer Science 2022-01-19 Jinho Choi , Seng W. Loke , Jihong Park

The present paper is meant to give a simple introduction to the problem of the connection between microscopic dynamics and statistical laws. For sake of simplicity, we mostly refer to non-dissipative dynamics, since dissipation adds…

Statistical Mechanics · Physics 2014-10-02 Sergio Chibbaro , Lamberto Rondoni , Angelo Vulpiani

We introduce a novel semantics for a multi-agent epistemic operator of knowing how, based on an indistinguishability relation between plans. Our proposal is, arguably, closer to the standard presentation of knowing that modalities in…

Logic in Computer Science · Computer Science 2023-04-04 Carlos Areces , Raul Fervari , Andrés R. Saravia , Fernando R. Velázquez-Quesada

Belief systems are often treated as globally consistent sets of propositions or as scalar-valued probability distributions. Such representations tend to obscure the internal structure of belief, conflate external credibility with internal…

Artificial Intelligence · Computer Science 2025-08-06 Saleh Nikooroo

We formalize an interpretational error that is common in statistical causal inference, termed identity slippage. This formalism is used to describe historically-recognized fallacies, and analyse a fast-growing literature in statistics and…

Methodology · Statistics 2023-12-14 Aaron L. Sarvet , Mats J. Stensrud , Lan Wen

Our concern is the completeness problem for spi-logics, that is, sets of implications between strictly positive formulas built from propositional variables, conjunction and modal diamond operators. Originated in logic, algebra and computer…

Logic in Computer Science · Computer Science 2026-01-21 Stanislav Kikot , Agi Kurucz , Yoshihito Tanaka , Frank Wolter , Michael Zakharyaschev

Over the past decade a considerable amount of research has been done to expand logic programming languages to handle incomplete information. One such language is the language of epistemic specifications. As is usual with logic programming…

Artificial Intelligence · Computer Science 2007-05-23 Richard Watson

This article aims to present a neighborhood semantic for a modal logic, namely, propositional logic of the plausible. As a subnormal character modal logic, not admits a Kripke semantics. However, the authors show that this neighborhood…

We apply to logic programming some recently emerging ideas from the field of reduction-based communicating systems, with the aim of giving evidence of the hidden interactions and the coordination mechanisms that rule the operational…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Bruni , Ugo Montanari , Francesca Rossi

Statistical mechanics is one of the most powerful and elegant tools in the quantitative sciences. One key virtue of statistical mechanics is that it is designed to examine large systems with many interacting degrees of freedom, providing a…

Quantitative Methods · Quantitative Biology 2007-08-15 Hernan G. Garcia , Jané Kondev , Nigel Orme , Julie A. Theriot , Rob Phillips

Theoretically as well as experimentally it is investigated how people represent their knowledge in order to make decisions or to share their knowledge with others. Experiment 1 probes into the ways how people 6ather information about the…

Artificial Intelligence · Computer Science 2013-04-15 Alf C. Zimmer

Logical formalisms provide a natural and concise means for specifying and reasoning about preferences. In this paper, we propose lexicographic logic, an extension of classical propositional logic that can express a variety of preferences,…

Artificial Intelligence · Computer Science 2020-12-22 Angelos Charalambidis , Giorgos Papadimitriou , Panos Rondogiannis , Antonis Troumpoukis