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Our position is that logic programming is not programming in the Horn clause sublogic of classical logic, but programming in a logic of (inductive) definitions. Thus, the similarity between prototypical Prolog programs (e.g., member,…

Logic in Computer Science · Computer Science 2023-04-27 Marc Denecker , David S. Warren

Ontologies are a popular way of representing domain knowledge, in particular, knowledge in domains related to life sciences. (Semi-)automating the process of building an ontology has attracted researchers from different communities into a…

Artificial Intelligence · Computer Science 2021-03-26 Ana Ozaki

The search for information on the web is faced with several problems, which arise on the one hand from the vast number of available sources, and on the other hand from their heterogeneity. A promising approach is the use of multi-agent…

Multiagent Systems · Computer Science 2007-05-23 T. Eiter , M. Fink , G. Sabbatini , H. Tompits

Recent work on interpretability in machine learning and AI has focused on the building of simplified models that approximate the true criteria used to make decisions. These models are a useful pedagogical device for teaching trained…

Artificial Intelligence · Computer Science 2018-11-06 Brent Mittelstadt , Chris Russell , Sandra Wachter

Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But…

Physics Education · Physics 2010-02-03 Edward F. Redish , Ayush Gupta

Logic reasoning has been critically needed in problem-solving and decision-making. Although Language Models (LMs) have demonstrated capabilities of handling multiple reasoning tasks (e.g., commonsense reasoning), their ability to reason…

Computation and Language · Computer Science 2024-02-16 Zhexiong Liu , Jing Zhang , Jiaying Lu , Wenjing Ma , Joyce C Ho

This short note discusses the role of syntax vs. semantics and the interplay between logic, philosophy, and language in computer science and game theory.

Artificial Intelligence · Computer Science 2015-06-18 Joseph Y. Halpern

In this introductory article we present the basics of an approach to implementing computational interpreting of natural language aiming to model the meanings of words and phrases. Unlike other approaches, we attempt to define the meanings…

Computation and Language · Computer Science 2019-08-12 Michael Kapustin , Pavlo Kapustin

"Natural Language," whether spoken and attended to by humans, or processed and generated by computers, requires networked structures that reflect creative processes in semantic, syntactic, phonetic, linguistic, social, emotional, and…

Computation and Language · Computer Science 2016-06-29 Joseph Corneli , Miriam Corneli

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

Artificial Intelligence · Computer Science 2023-08-17 Germán Vidal

The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are…

Logic in Computer Science · Computer Science 2007-05-23 Samuel R. Buss , Alexander S. Kechris , Anand Pillay , Richard A. Shore

Computational and complexity theory are core components of the computer science curriculum, and in the vast majority of cases are taught using decision problems as the main paradigm. For experienced practitioners, decision problems are the…

Computers and Society · Computer Science 2017-12-11 John MacCormick

For a newcomer, paraconsistent logics can be difficult to grasp. Even experts in logic can find the concept of paraconsistency to be suspicious or misguided, if not actually wrong. The problem is that although they usually have much in…

Logic · Mathematics 2013-12-17 Jesse Alama

We advocate here the use of computational logic for systems biology, as a \emph{unified and safe} framework well suited for both modeling the dynamic behaviour of biological systems, expressing properties of them, and verifying these…

Quantitative Methods · Quantitative Biology 2020-10-07 Elisabetta de Maria , Joelle Despeyroux , Amy Felty , Pietro Liò , Carlos Olarte , Abdorrahim Bahrami

It is shown that quantum logic is a logic in the very same way in which classical logic is a logic. Soundness and completeness of both quantum and classical logics have been proved for novel lattice models that are not orthomodular and…

Quantum Physics · Physics 2008-12-16 Mladen Pavicic , Norman D. Megill

I aim to promote an alternative agenda for teaching modal logic chiefly inspired by the relationships between modal logic and philosophy. The guiding idea for this proposal is a reappraisal of the interest of modal logic in philosophy,…

History and Overview · Mathematics 2015-07-19 Luis Urtubey

The classical view of epistemic logic is that an agent knows all the logical consequences of their knowledge base. This assumption of logical omniscience is often unrealistic and makes reasoning computationally intractable. One approach to…

Artificial Intelligence · Computer Science 2018-05-09 Yijia Chen , Abdallah Saffidine , Christoph Schwering

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning approach. Universal logic reasoning…

Artificial Intelligence · Computer Science 2017-03-29 Christoph Benzmüller

The importance of transformations and normal forms in logic programming, and generally in computer science, is well documented. This paper investigates transformations and normal forms in the context of Defeasible Logic, a simple but…

Logic in Computer Science · Computer Science 2021-02-16 G. Antoniou , D. Billington , G. Governatori , M. J. Maher

Data scientists are not mathematicians, but they make heavy use of mathematics in their daily work. While mathematicians can study a mathematical object which is inaccessible to our five senses, data scientists must deal with real-world…

History and Overview · Mathematics 2023-03-22 Collin Joseph Van Cuyk , Liang Hong
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