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We present the first principled and systematic study of the expressive power of property graph constraint languages, focused on the recent PG-Keys language, set to inform the upcoming revision of the GQL standard. To this end, we position…

Databases · Computer Science 2026-03-11 Stefania Dumbrava , Nadime Francis , Victor Marsault , Steven Sailly

Causal multiteam semantics is a framework where probabilistic dependencies arising from data and causation between variables can be together formalized and studied logically. We consider several logics in the setting of causal multiteam…

Logic in Computer Science · Computer Science 2023-03-22 Fausto Barbero , Jonni Virtema

Real world programming languages crucially depend on the availability of computational effects to achieve programming convenience and expressive power as well as program efficiency. Logical frameworks rely on predicates, or dependent types,…

Logic in Computer Science · Computer Science 2017-12-07 Matthijs Vákár

We investigate the expressive power of regular expressions for languages of countable words and establish their expressive equivalence with logical and algebraic characterizations. Our goal is to extend the classical theory of regular…

Logic in Computer Science · Computer Science 2025-05-05 Thomas Colcombet , A V Sreejith

Language models show a surprising range of capabilities, but the source of their apparent competence is unclear. Do these networks just memorize a collection of surface statistics, or do they rely on internal representations of the process…

Machine Learning · Computer Science 2024-06-27 Kenneth Li , Aspen K. Hopkins , David Bau , Fernanda Viégas , Hanspeter Pfister , Martin Wattenberg

The rules associated with propositional logic programs and the stable model semantics are not expressive enough to let one write concise programs. This problem is alleviated by introducing some new types of propositional rules. Together…

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

The $\omega$-power of a finitary language L over a finite alphabet $\Sigma$ is the language of infinite words over $\Sigma$ defined by L $\infty$ := {w 0 w 1. .. $\in$ $\Sigma$ $\omega$ | $\forall$i $\in$ $\omega$ w i $\in$ L}. The…

Logic in Computer Science · Computer Science 2020-07-20 Olivier Finkel , Dominique Lecomte

SQL/PGQ and GQL are very recent international standards for querying property graphs: SQL/PGQ specifies how to query relational representations of property graphs in SQL, while GQL is a standalone language for graph databases. The rapid…

Databases · Computer Science 2024-09-05 Amélie Gheerbrant , Leonid Libkin , Liat Peterfreund , Alexandra Rogova

The Semantic Web Rule Language (SWRL) is a direct extension of OWL 2 DL with a subset of RuleML, and it is designed to be the rule language of the Semantic Web. This paper explores the state-of-the-art of SWRL's expressiveness extensions…

Artificial Intelligence · Computer Science 2019-03-29 Abba Lawan , Abdur Rakib

In this paper, we consider the syntactic properties of languages emerged in referential games, using unsupervised grammar induction (UGI) techniques originally designed to analyse natural language. We show that the considered UGI techniques…

Computation and Language · Computer Science 2020-10-12 Oskar van der Wal , Silvan de Boer , Elia Bruni , Dieuwke Hupkes

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

Linear algebra algorithms often require some sort of iteration or recursion as is illustrated by standard algorithms for Gaussian elimination, matrix inversion, and transitive closure. A key characteristic shared by these algorithms is that…

Computational Complexity · Computer Science 2020-10-27 Floris Geerts , Thomas Muñoz , Cristian Riveros , Domagoj Vrgoč

Constructive type theory combines logic and programming in one language. This is useful both for reasoning about programs written in type theory, as well as for reasoning about other programming languages inside type theory. It is…

Programming Languages · Computer Science 2024-10-25 Philipp Jan Andries Stassen , Rasmus Ejlers Møgelberg , Maaike Zwart , Alejandro Aguirre , Lars Birkedal

This paper presents \tdl, a typed feature-based representation language and inference system. Type definitions in \tdl\ consist of type and feature constraints over the boolean connectives. \tdl\ supports open- and closed-world reasoning…

cmp-lg · Computer Science 2019-08-15 Hans-Ulrich Krieger , Ulrich Schäfer

We study the problem of fitting ontologies and constraints to positive and negative examples that take the form of a finite relational structure. As ontology and constraint languages, we consider the description logics $\mathcal{E\mkern-2mu…

Artificial Intelligence · Computer Science 2025-08-20 Simon Hosemann , Jean Christoph Jung , Carsten Lutz , Sebastian Rudolph

I examine how terminological languages can be used to manage linguistic data during NL research and development. In particular, I consider the lexical semantics task of characterizing semantic verb classes and show how the language can be…

cmp-lg · Computer Science 2008-02-03 Pamela W. Jordan

In computer science, various logical languages are defined to analyze properties of systems. One way to pinpoint the essential differences between those logics is to compare their expressivity in terms of distinguishing power and expressive…

Logic in Computer Science · Computer Science 2009-05-28 Yanjing Wang , Francien Dechesne

In this paper we propose an approach to reasoning about properties of imperative programs. We assume in this context that the meanings of program constructs are described using rules in the natural semantics style with the additional…

Logic in Computer Science · Computer Science 2015-03-04 Daniel DaCosta

Query answering under existential rules -- implications with existential quantifiers in the head -- is known to be decidable when imposing restrictions on the rule bodies such as frontier-guardedness [BLM10, BLMS11]. Query answering is also…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Michael Benedikt

Labeled examples (i.e., positive and negative examples) are an attractive medium for communicating complex concepts. They are useful for deriving concept expressions (such as in concept learning, interactive concept specification, and…

Logic in Computer Science · Computer Science 2024-12-24 Balder ten Cate , Raoul Koudijs , Ana Ozaki