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Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there is constraint logic programming which computes a solution as an answer substitution to a query containing the…

Artificial Intelligence · Computer Science 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Marc Denecker

We propose a call-by-value lambda calculus extended with a new construct inspired by abductive inference and motivated by the programming idioms of machine learning. Although syntactically simple the abductive construct has a complex and…

Programming Languages · Computer Science 2017-10-12 Koko Muroya , Steven Cheung , Dan R. Ghica

Abduction, first proposed in the setting of classical logics, has been studied with growing interest in the logic programming area during the last years. In this paper we study {\em abduction with penalization} in logic programming. This…

Logic in Computer Science · Computer Science 2007-05-23 Giovambattista Ianni , Nicola Leone , Simona Perri , Francesco Scarcello

The aim of this paper is to introduce a new framework for defining abductive reasoning operators based on a notion of retraction in arbitrary logics defined as satisfaction systems. We show how this framework leads to the design of…

Artificial Intelligence · Computer Science 2018-03-06 Marc Aiguier , Jamal Atif , Isabelle Bloch , Ramón Pino-Pérez

Despite large incentives, ecorrectness in software remains an elusive goal. Declarative programming techniques, where algorithms are derived from a specification of the desired behavior, offer hope to address this problem, since there is a…

Programming Languages · Computer Science 2018-01-22 Anthony Di Franco

This paper introduces and studies a declarative framework for updating views over indefinite databases. An indefinite database is a database with null values that are represented, following the standard database approach, by a single null…

Databases · Computer Science 2012-05-22 Luciano Caroprese , Irina Trubitsyna , Miroslaw Truszczynski , Ester Zumpano

Causality has been recently introduced in databases, to model, characterize and possibly compute causes for query results (answers). Connections between queryanswer causality, consistency-based diagnosis, database repairs (wrt. integrity…

Databases · Computer Science 2016-02-23 Babak Salimi , Leopoldo Bertossi

Language technologies that accurately model the dynamics of events must perform commonsense reasoning. Existing work evaluating commonsense reasoning focuses on making inferences about common, everyday situations. To instead investigate the…

Computation and Language · Computer Science 2024-05-02 Wenting Zhao , Justin T Chiu , Jena D. Hwang , Faeze Brahman , Jack Hessel , Sanjiban Choudhury , Yejin Choi , Xiang Lorraine Li , Alane Suhr

Regardless of its foundational role in human discovery and sense-making, abductive reasoning--the inference of the most plausible explanation for an observation--has been relatively underexplored in Large Language Models (LLMs). Despite the…

Artificial Intelligence · Computer Science 2026-04-24 Moein Salimi , Shaygan Adim , Danial Parnian , Nima Alighardashi , Mahdi Jafari Siavoshani , Mohammad Hossein Rohban

Today, the dominant paradigm for training neural networks involves minimizing task loss on a large dataset. Using world knowledge to inform a model, and yet retain the ability to perform end-to-end training remains an open question. In this…

Machine Learning · Computer Science 2020-08-21 Tao Li , Vivek Srikumar

During the past few decades, knowledge bases (KBs) have experienced rapid growth. Nevertheless, most KBs still suffer from serious incompletion. Researchers proposed many tasks such as knowledge base completion and relation prediction to…

Computation and Language · Computer Science 2019-04-23 Zihao Fu , Yankai Lin , Zhiyuan Liu , Wai Lam

Much work has been done on extending the well-founded semantics to general disjunctive logic programs and various approaches have been proposed. However, these semantics are different from each other and no consensus is reached about which…

Artificial Intelligence · Computer Science 2007-05-23 Kewen Wang , Lizhu Zhou

Since the advent of large language models (LLMs), research has focused on instruction following and deductive reasoning. A central question remains: can these models discover new knowledge, and how can we evaluate this ability? We address…

Computation and Language · Computer Science 2025-09-30 Kaiyu He , Peilin Wu , Mian Zhang , Kun Wan , Wentian Zhao , Xinya Du , Zhiyu Chen

This paper introduces an explanation framework designed to enhance the quality of rules in knowledge-based reasoning systems based on dataset-driven insights. The traditional method for rule induction from data typically requires…

Artificial Intelligence · Computer Science 2025-02-04 Oshani Seneviratne , Brendan Capuzzo , William Van Woensel

The dynamics of belief and knowledge is one of the major components of any autonomous system that should be able to incorporate new pieces of information. In this paper, we argue that to apply rationality result of belief dynamics theory to…

Logic in Computer Science · Computer Science 2014-07-22 Radhakrishnan Delhibabu , Gerhard Lakemeyer

We modify a canonical experimental design to identify the effectiveness of retractions. Comparing beliefs after retractions to beliefs (a) without the retracted information and (b) after equivalent new information, we find that retractions…

General Economics · Economics 2025-03-03 Duarte Gonçalves , Jonathan Libgober , Jack Willis

In this paper we investigate the complexity of abduction, a fundamental and important form of non-monotonic reasoning. Given a knowledge base explaining the world's behavior it aims at finding an explanation for some observed manifestation.…

Computational Complexity · Computer Science 2010-06-28 Nadia Creignou , Johannes Schmidt , Michael Thomas

In this paper, we introduce a novel approach to deductive databases meant to take into account the needs of current applications in the area of data integration. To this end, we extend the formalism of standard deductive databases to the…

Databases · Computer Science 2021-08-06 Dominique Laurent , Nicolas Spyratos

Juba recently proposed a formulation of learning abductive reasoning from examples, in which both the relative plausibility of various explanations, as well as which explanations are valid, are learned directly from data. The main…

Artificial Intelligence · Computer Science 2017-11-28 Brendan Juba , Zongyi Li , Evan Miller

Abduction is one of the most important forms of reasoning; it has been successfully applied to several practical problems such as diagnosis. In this paper we investigate whether the computational complexity of abduction can be reduced by an…

Artificial Intelligence · Computer Science 2007-07-25 Paolo Liberatore , Marco Schaerf
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