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This paper presents a plausible reasoning system to illustrate some broad issues in knowledge representation: dualities between different reasoning forms, the difficulty of unifying complementary reasoning styles, and the approximate nature…

Artificial Intelligence · Computer Science 2013-03-26 Wray L. Buntine

In experimental applications of bounded-reasoning models, behavior is often summarized by distributions of "levels". We argue that such summaries conflate two conceptually distinct dimensions: a player's type, capturing beliefs about what…

Theoretical Economics · Economics 2026-04-15 Shuige Liu , Gabriel Ziegler

Possibilistic logic has been proposed as a numerical formalism for reasoning with uncertainty. There has been interest in developing qualitative accounts of possibility, as well as an explanation of the relationship between possibility and…

Artificial Intelligence · Computer Science 2013-03-25 Craig Boutilier

When reasoning about formal objects whose structures involve binding, it is often necessary to analyze expressions relative to a context that associates types, values, and other related attributes with variables that appear free in the…

Logic in Computer Science · Computer Science 2024-07-10 Terrance Gray , Gopalan Nadathur

Recent work shows issues of consistency with explanations, with methods generating local explanations that seem reasonable instance-wise, but that are inconsistent across instances. This suggests not only that instance-wise explanations can…

Artificial Intelligence · Computer Science 2022-08-02 Guilherme Paulino-Passos , Francesca Toni

Non-normal modal logics, interpreted on neighbourhood models which generalise the usual relational semantics, have found application in several areas, such as epistemic, deontic, and coalitional reasoning. We present here preliminary…

Logic in Computer Science · Computer Science 2022-07-04 Tiziano Dalmonte , Andrea Mazzullo , Ana Ozaki

Propositional logics in general, considered as a set of sentences, can be undecidable even if they have "nice" representations, e.g., are given by a calculus. Even decidable propositional logics can be computationally complex (e.g., already…

Logic · Mathematics 2019-08-06 Matthias Baaz , Richard Zach

Large Language Models (LLMs) are increasingly used to generate user-tailored summaries, adapting outputs to specific stakeholders. In legal contexts, this raises important questions about motivated reasoning -- how models strategically…

Computation and Language · Computer Science 2025-10-10 Eunjung Cho , Alexander Hoyle , Yoan Hermstrüwer

In this paper a conditional logic is defined and studied. This conditional logic, DmBL, is constructed as a deterministic counterpart to the Bayesian conditional. The logic is unrestricted, so that any logical operations are allowed. A…

Logic · Mathematics 2007-05-23 Frederic Dambreville

This paper combines two studies: a topological semantics for epistemic notions and abstract argumentation theory. In our combined setting, we use a topological semantics to represent the structure of an agent's collection of evidence, and…

Artificial Intelligence · Computer Science 2017-07-28 Chenwei Shi , Sonja Smets , Fernando R. Velázquez-Quesada

Logical relations are one of the most powerful techniques in the theory of programming languages, and have been used extensively for proving properties of a variety of higher-order calculi. However, there are properties that cannot be…

Programming Languages · Computer Science 2020-02-21 Gilles Barthe , Raphaëlle Crubillé , Ugo Dal Lago , Francesco Gavazzo

Many tasks in statistical and causal inference can be construed as problems of \emph{entailment} in a suitable formal language. We ask whether those problems are more difficult, from a computational perspective, for \emph{causal}…

Logic in Computer Science · Computer Science 2023-06-02 Milan Mossé , Duligur Ibeling , Thomas Icard

Refinement types are types equipped with predicates that specify preconditions and postconditions of underlying functional languages. We propose a general semantic construction of dependent refinement type systems from underlying type…

Logic in Computer Science · Computer Science 2020-10-19 Satoshi Kura

This work builds upon a well-established research tradition on modal logics of awareness. One of its aims is to export tools and techniques to other areas within modal logic. To this end, we illustrate a number of significant bridges with…

Logic in Computer Science · Computer Science 2023-07-12 Carlo Proietti , Fernando R. Velázquez-Quesada , Antonio Yuste-Ginel

Automated decision making is often complicated by the complexity of the knowledge involved. Much of this complexity arises from the context sensitive variations of the underlying phenomena. We propose a framework for representing…

Artificial Intelligence · Computer Science 2013-03-25 Tze-Yun Leong

People rely heavily on context to enrich meaning beyond what is literally said, enabling concise but effective communication. To interact successfully and naturally with people, user-facing artificial intelligence systems will require…

Computation and Language · Computer Science 2023-11-23 Daniel Fried , Nicholas Tomlin , Jennifer Hu , Roma Patel , Aida Nematzadeh

In the Declarative Networking paradigm, Datalog-like languages are used to express distributed computations. Whereas recently formal operational semantics for these languages have been developed, a corresponding declarative semantics has…

Logic in Computer Science · Computer Science 2020-02-19 Tom J. Ameloot , Jan Van den Bussche , William R. Marczak , Peter Alvaro , Joseph M. Hellerstein

Assisted text input techniques can save time and effort and improve text quality. In this paper, we investigate how grounded and conditional extensions to standard neural language models can bring improvements in the tasks of word…

Computation and Language · Computer Science 2016-10-21 Georgios P. Spithourakis , Steffen E. Petersen , Sebastian Riedel

We extend the theory of d-separation to cases in which data instances are not independent and identically distributed. We show that applying the rules of d-separation directly to the structure of probabilistic models of relational data…

Artificial Intelligence · Computer Science 2014-01-07 Marc Maier , Katerina Marazopoulou , David Jensen

A natural way to represent beliefs and the process of updating beliefs is presented by Bayesian probability theory, where belief of an agent a in P can be interpreted as a considering that P is more probable than not P. This paper attempts…

Logic in Computer Science · Computer Science 2017-07-28 Jan van Eijck , Kai Li