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Structural proof theory is praised for being a symbolic approach to reasoning and proofs, in which one can define schemas for reasoning steps and manipulate proofs as a mathematical structure. For this to be possible, proof systems must be…

Logic in Computer Science · Computer Science 2021-08-10 Giselle Reis

We present an algebraic view on logic programming, related to proof theory and more specifically linear logic and geometry of interaction. Within this construction, a characterization of logspace (deterministic and non-deterministic)…

Logic in Computer Science · Computer Science 2014-06-10 Clément Aubert , Marc Bagnol , Paolo Pistone , Thomas Seiller

We develop a model of abduction in abstract argumentation, where changes to an argumentation framework act as hypotheses to explain the support of an observation. We present dialogical proof theories for the main decision problems (i.e.,…

Artificial Intelligence · Computer Science 2014-07-16 Richard Booth , Dov Gabbay , Souhila Kaci , Tjitze Rienstra , Leendert van der Torre

To appear in Theory and Practice of Logic Programming (TPLP). In this paper we propose an extension of logic programming (LP) where each default literal derived from the well-founded model is associated to a justification represented as an…

Logic in Computer Science · Computer Science 2016-05-11 Pedro Cabalar , Jorge Fandinno

In this paper titled A Model-Agnostic SAT-based approach for Symbolic Explanation Enumeration we propose a generic agnostic approach allowing to generate different and complementary types of symbolic explanations. More precisely, we…

Artificial Intelligence · Computer Science 2022-08-17 Ryma Boumazouza , Fahima Cheikh-Alili , Bertrand Mazure , Karim Tabia

Existing algorithms for explaining the outputs of image classifiers are based on a variety of approaches and produce explanations that frequently lack formal rigour. On the other hand, logic-based explanations are formally and rigorously…

Artificial Intelligence · Computer Science 2026-02-20 David A Kelly , Hana Chockler

The term {\em meta-programming} refers to the ability of writing programs that have other programs as data and exploit their semantics. The aim of this paper is presenting a methodology allowing us to perform a correct termination analysis…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Argument graphs provide an abstract representation of an argumentative situation. A bipolar argument graph is a directed graph where each node denotes an argument, and each arc denotes the influence of one argument on another. Here we…

Artificial Intelligence · Computer Science 2023-08-09 Anthony Hunter

An algorithm for computing the stable model semantics of logic programs is developed. It is shown that one can extend the semantics and the algorithm to handle new and more expressive types of rules. Emphasis is placed on the use of…

Logic in Computer Science · Computer Science 2007-05-23 Patrik Simons

I introduce a formalism for representing the syntax of recursively structured graph-like patterns. It does not use production rules, like a conventional graph grammar, but represents the syntactic structure in a more direct and declarative…

Formal Languages and Automata Theory · Computer Science 2025-04-25 Peter Fletcher

We consider the problem of automatically verifying programs which manipulate arbitrary data structures. Our specification language is expressive, contains a notion of \emph{separation}, and thus enables a precise specification of…

Programming Languages · Computer Science 2017-11-16 Duc-Hiep Chu , Joxan Jaffar

Statistical modeling is a powerful tool for developing and testing theories by way of causal explanation, prediction, and description. In many disciplines there is near-exclusive use of statistical modeling for causal explanation and the…

Methodology · Statistics 2011-01-06 Galit Shmueli

Answer-set programming (ASP) paradigm is a way of using logic to solve search problems. Given a search problem, to solve it one designs a theory in the logic so that models of this theory represent problem solutions. To compute a solution…

Logic in Computer Science · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

In this paper we present a proof system that operates on graphs instead of formulas. Starting from the well-known relationship between formulas and cographs, we drop the cograph-conditions and look at arbitrary undirected) graphs. This…

Logic in Computer Science · Computer Science 2023-06-22 Matteo Acclavio , Ross Horne , Lutz Straßburger

Adoption of machine learning models in healthcare requires end users' trust in the system. Models that provide additional supportive evidence for their predictions promise to facilitate adoption. We define consistent evidence to be both…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Peiqi Wang , Ruizhi Liao , Daniel Moyer , Seth Berkowitz , Steven Horng , Polina Golland

Logic programs under the stable model semantics, or answer-set programs, provide an expressive rule-based knowledge representation framework, featuring a formal, declarative and well-understood semantics. However, handling the evolution of…

Artificial Intelligence · Computer Science 2020-02-19 Martin Slota , João Leite

Explainability of a classification model is crucial when deployed in real-world decision support systems. Explanations make predictions actionable to the user and should inform about the capabilities and limitations of the system. Existing…

Machine Learning · Computer Science 2022-12-13 Erwin Walraven , Ajaya Adhikari , Cor J. Veenman

Understanding the behavior of learned classifiers is an important task, and various black-box explanations, logical reasoning approaches, and model-specific methods have been proposed. In this paper, we introduce probabilistic sufficient…

Machine Learning · Computer Science 2021-05-24 Eric Wang , Pasha Khosravi , Guy Van den Broeck

Justification theory is a unifying semantic framework. While it has its roots in non-monotonic logics, it can be applied to various areas in computer science, especially in explainable reasoning; its most central concept is a justification:…

Artificial Intelligence · Computer Science 2020-09-23 Simon Marynissen , Bart Bogaerts , Marc Denecker

We target the problem of provably computing the equivalence between two complex expression trees. To this end, we formalize the problem of equivalence between two such programs as finding a set of semantics-preserving rewrite rules from one…

Programming Languages · Computer Science 2021-06-10 Steve Kommrusch , Théo Barollet , Louis-Noël Pouchet
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