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The concept of category from mathematics happens to be useful to computer programmers in many ways. Unfortunately, all "good" explanations of categories so far have been designed by mathematicians, or at least theoreticians with a strong…

Logic in Computer Science · Computer Science 2014-07-22 Raphael Poss

In a Systems Engineering setting, various models are produced using a variety of methods and tools. Focusing on a type of models -- called descriptive models -- which we shall describe, we argue that, while the clarity and precision of…

Systems and Control · Electrical Eng. & Systems 2022-07-29 Freddy Kamdem Simo , Dominique Ernadote , Dominique Lenne

At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a…

Condensed Matter · Physics 2009-10-22 J. F. F. Mendes , Ronald Dickman , Malte Henkel , M. Ceu Marques

This note clarifies the concept of syntax and semantics and their relationships. Today, a lot of confusion arises from the fact that the word "semantics" is used in different meanings. We discuss a general approach at defining semantics…

Software Engineering · Computer Science 2014-09-25 Bernhard Rumpe

Overall, the two main contributions of this work include the application of sentence simplification to association extraction as described above, and the use of distributional semantics for concept extraction. The proposed work on concept…

Computation and Language · Computer Science 2011-09-13 Siddhartha Jonnalagadda

In this paper some reflections on the concept of transition are presented: groupoids are introduced as models for the construction of a ``generalized logic'' whose basic statements involve pairs of propositions which can be conditioned. In…

Mathematical Physics · Physics 2023-08-02 Florio M. Ciaglia aand Fabio Di Cosmo

Dichotomy theorems, which characterize the conditions under which a problem can be solved efficiently, have helped identify important tractability borders for as probabilistic query evaluation, view maintenance, query containment (among…

Databases · Computer Science 2024-05-09 Neha Makhija

The concept of paradeduction is presented in order to justify that we can overlook contradictory information taking into account only what is consistent. Besides that, paradeduction is used to show that there is a way to transform any…

Logic · Mathematics 2022-07-13 Edelcio G. de Souza , Alexandre Costa-Leite , Diogo H. B. Dias

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 goal of this paper is to extend classical logic with a generalized notion of inductive definition supporting positive and negative induction, to investigate the properties of this logic, its relationships to other logics in the area of…

Logic in Computer Science · Computer Science 2009-09-25 Marc Denecker

A powerful way to understand a complex query is by observing how it operates on data instances. However, specific database instances are not ideal for such observations: they often include large amounts of superfluous details that are not…

Databases · Computer Science 2022-02-24 Amir Gilad , Zhengjie Miao , Sudeepa Roy , Jun Yang

Document-level relation extraction (DocRE) models generally use graph networks to implicitly model the reasoning skill (i.e., pattern recognition, logical reasoning, coreference reasoning, etc.) related to the relation between one entity…

Computation and Language · Computer Science 2021-06-04 Wang Xu , Kehai Chen , Tiejun Zhao

Models for question answering, dialogue agents, and summarization often interpret the meaning of a sentence in a rich context and use that meaning in a new context. Taking excerpts of text can be problematic, as key pieces may not be…

Computation and Language · Computer Science 2021-02-11 Eunsol Choi , Jennimaria Palomaki , Matthew Lamm , Tom Kwiatkowski , Dipanjan Das , Michael Collins

This book dwells on mathematical and algorithmic issues of data analysis based on generality order of descriptions and respective precision. To speak of these topics correctly, we have to go some way getting acquainted with the important…

Logic in Computer Science · Computer Science 2019-08-30 Sergei O. Kuznetsov

Modeling generics in object-oriented programming languages such as Java and C# is a challenge. Recently we proposed a new order-theoretic approach to modeling generics. Given the strong relation between order theory and category theory, in…

Programming Languages · Computer Science 2019-06-13 Moez A. AbdelGawad

A concept of "evolving categories" is suggested to build a simple, scalable, mathematically consistent framework for representing in uniform way both data and algorithms. A state machine for executing algorithms becomes clear, rich and…

Data Structures and Algorithms · Computer Science 2007-05-23 Evgeny Yanenko

Systems of deontic logic suffer either from being too expressive and therefore hard to mechanize, or from being too simple to capture relevant aspects of normative reasoning. In this article we look for a suitable way in between: the…

Artificial Intelligence · Computer Science 2018-10-24 Tomer Libal , Matteo Pascucci

The concept of Probability of Causation (PC) is critically important in legal contexts and can help in many other domains. While it has been around since 1986, current operationalizations can obtain only the minimum and maximum values of…

Methodology · Statistics 2018-08-14 Tapajit Dey , Audris Mockus

We extend the formal framework of classifier models used in the legal domain. While the existing classifier framework characterises cases solely through the facts involved, legal reasoning fundamentally relies on both facts and rules,…

Artificial Intelligence · Computer Science 2025-05-02 Cecilia Di Florio , Huimin Dong , Antonino Rotolo

Logics for knowledge representation suffer from over-specialization: while each logic may provide an ideal representation formalism for some problems, it is less than optimal for others. A solution to this problem is to choose from several…

Artificial Intelligence · Computer Science 2007-05-23 G. Antoniou , D. Billigton , G. Governatori , M. J. Maher