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Weak ontic necessity is the ontic necessity expressed by ``should'' or ``ought to'' in English. An example of it is ``I should be dead by now''. A feature of this necessity is whether it holds does not have anything to do with whether its…

Computation and Language · Computer Science 2022-08-26 Fengkui Ju

This papers develops a logical language for representing probabilistic causal laws. Our interest in such a language is twofold. First, it can be motivated as a fundamental study of the representation of causal knowledge. Causality has an…

Artificial Intelligence · Computer Science 2009-04-13 Joost Vennekens , Marc Denecker , Maurice Bruynooghe

W.C. Rounds and G.-Q. Zhang (2001) have proposed to study a form of disjunctive logic programming generalized to algebraic domains. This system allows reasoning with information which is hierarchically structured and forms a (suitable)…

Artificial Intelligence · Computer Science 2007-05-23 Pascal Hitzler

In this paper, we explore how to use a small amount of new data to update a task-oriented semantic parsing model when the desired output for some examples has changed. When making updates in this way, one potential problem that arises is…

Computation and Language · Computer Science 2021-12-13 David Gaddy , Alex Kouzemtchenko , Pavankumar Reddy Muddireddy , Prateek Kolhar , Rushin Shah

I deal with two approaches to proof-theoretic semantics: one based on argument structures and justifications, which I call reducibility semantics, and one based on consequence among (sets of) formulas over atomic bases, called base…

Logic · Mathematics 2025-11-11 Antonio Piccolomini d'Aragona

Belief integration methods are often aimed at deriving a single and consistent knowledge base that retains as much as possible of the knowledge bases to integrate. The rationale behind this approach is the minimal change principle: the…

Artificial Intelligence · Computer Science 2007-05-23 Paolo Liberatore

This paper introduces the notion of objection-based causal networks which resemble probabilistic causal networks except that they are quantified using objections. An objection is a logical sentence and denotes a condition under which a,…

Artificial Intelligence · Computer Science 2013-03-25 Adnan Darwiche

Large language models (LLMs) have revolutionized natural language processing (NLP), particularly through Retrieval-Augmented Generation (RAG), which enhances LLM capabilities by integrating external knowledge. However, traditional RAG…

Computation and Language · Computer Science 2025-10-23 Nengbo Wang , Xiaotian Han , Jagdip Singh , Jing Ma , Vipin Chaudhary

We examine how causal beliefs affect an agent's choices and how feedback on those choices leads to updated causal beliefs. Building on the structural-equations framework for modeling causality, we first examine the general problem of…

Theoretical Economics · Economics 2026-03-11 Joseph Y. Halpern , Evan Piermont , Marie-Louise Vierø

Causal sensitivity analysis aims to provide bounds for causal effect estimates in the presence of unobserved confounding. However, existing methods for causal sensitivity analysis are per-instance procedures, meaning that changes to the…

Machine Learning · Statistics 2026-05-12 Emil Javurek , Dennis Frauen , Marie Brockschmidt , Jonas Schweisthal , Stefan Feuerriegel

Rule-based reasoning is an essential part of human intelligence prominently formalized in artificial intelligence research via logic programs. Describing complex objects as the composition of elementary ones is a common strategy in computer…

Artificial Intelligence · Computer Science 2023-12-15 Christian Antic

We study here preference revision, considering both the monotonic case where the original preferences are preserved and the nonmonotonic case where the new preferences may override the original ones. We use a relational framework in which…

Databases · Computer Science 2007-05-23 Jan Chomicki , Joyce Song

This paper presents and discusses several methods for reasoning from inconsistent knowledge bases. A so-called argumentative-consequence relation taking into account the existence of consistent arguments in favor of a conclusion and the…

Artificial Intelligence · Computer Science 2013-03-08 Salem Benferhat , Didier Dubois , Henri Prade

Since the database update view was standardised in the Prolog ISO standard, the so called logical update view is available in all actively maintained Prolog systems. While this update view provided a well defined update semantics and allows…

Programming Languages · Computer Science 2013-02-01 Jan Wielemaker

I introduce a new approach to semantic information based upon the influence of erasure operations (interventions) upon distributions of a system's future trajectories through its phase space. Semantic (meaningful) information is…

Statistical Mechanics · Physics 2024-07-11 Stuart J Bartlett

Ontology-based query answering with existential rules is well understood and implemented for positive queries, in particular conjunctive queries. The situation changes drastically for queries with negation, where there is no agreed-upon…

Logic in Computer Science · Computer Science 2021-12-22 Stefan Ellmauthaler , Markus Krötzsch , Stephan Mennicke

Information systems experience an ever-growing volume of unstructured data, particularly in the form of textual materials. This represents a rich source of information from which one can create value for people, organizations and…

Artificial Intelligence · Computer Science 2017-04-19 Nicolas Pröllochs , Stefan Feuerriegel , Dirk Neumann

This paper develops a declarative language, P-log, that combines logical and probabilistic arguments in its reasoning. Answer Set Prolog is used as the logical foundation, while causal Bayes nets serve as a probabilistic foundation. We give…

Artificial Intelligence · Computer Science 2008-12-04 Chitta Baral , Michael Gelfond , Nelson Rushton

Properties expressed as the provability of a first-order sentence can be disproved by just finding a model of the negation of the sentence. This fact, however, is meaningful in restricted cases only, depending on the shape of the sentence…

Programming Languages · Computer Science 2017-09-18 Salvador Lucas

Computational interpretations of linear logic allow static control of memory resources: the data produced by the program are endowed through its type with attributes that determine its life cycle. This has promoted numerous investigations…

Programming Languages · Computer Science 2024-08-23 Hector Gramaglia
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