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We study the expressive power of the LARA language -- a recently proposed unified model for expressing relational and linear algebra operations -- both in terms of traditional database query languages and some analytic tasks often performed…

Databases · Computer Science 2019-09-27 Pablo Barceló , Nelson Higuera , Jorge Pérez , Bernardo Subercaseaux

We propose a modal logic tailored to describe graph transformations and discuss some of its properties. We focus on a particular class of graphs called termgraphs. They are first-order terms augmented with sharing and cycles. Termgraphs…

Logic in Computer Science · Computer Science 2010-03-24 Ph. Balbiani , R. Echahed , A. Herzig

We introduce a new variant of dependence logic called Boolean dependence logic. In Boolean dependence logic dependence atoms are of the type =(x_1,...,x_n,\alpha), where \alpha is a Boolean variable. Intuitively, with Boolean dependence…

Logic · Mathematics 2014-06-30 Johannes Ebbing , Lauri Hella , Peter Lohmann , Jonni Virtema

We bring forward a logical system of transition algebras that enhances many-sorted first-order logic using features from dynamic logics. The sentences we consider include compositions, unions, and transitive closures of transition…

Logic in Computer Science · Computer Science 2024-04-26 Hashimoto Go , Daniel Găină , Ionuţ Ţuţu

We study the expressive power of successor-invariant first-order logic, which is an extension of first-order logic where the usage of an additional successor relation on the structure is allowed, as long as the validity of formulas is…

Logic in Computer Science · Computer Science 2023-06-22 Julien Grange

Formalisms based on temporal logics interpreted over finite strict linear orders, known in the literature as finite traces, have been used for temporal specification in automated planning, process modelling, (runtime) verification and…

Logic in Computer Science · Computer Science 2022-02-02 Alessandro Artale , Andrea Mazzullo , Ana Ozaki

We consider a logic used to describe sets of configurations of distributed systems, whose network topologies can be changed at runtime, by reconfiguration programs. The logic uses inductive definitions to describe networks with an unbounded…

Logic in Computer Science · Computer Science 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

We present a consequence-based calculus for concept subsumption and classification in the description logic ALCHOIQ, which extends ALC with role hierarchies, inverse roles, number restrictions, and nominals. By using standard…

Artificial Intelligence · Computer Science 2018-05-04 David Tena Cucala , Bernardo Cuenca Grau , Ian Horrocks

We study fragments of dependence logic defined either by restricting the number k of universal quantifiers or the width of dependence atoms in formulas. We find the sublogics of existential second-order logic corresponding to these…

Logic in Computer Science · Computer Science 2015-03-19 Arnaud Durand , Juha Kontinen

We address the relative expressiveness of defeasible logics in the framework DL. Relative expressiveness is formulated as the ability to simulate the reasoning of one logic within another logic. We show that such simulations must be…

Artificial Intelligence · Computer Science 2021-02-16 Michael Maher

We apply to logic programming some recently emerging ideas from the field of reduction-based communicating systems, with the aim of giving evidence of the hidden interactions and the coordination mechanisms that rule the operational…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Bruni , Ugo Montanari , Francesca Rossi

In this paper, we use a categorical and functorial set up to model the syntax and inference of logics with algebraic signature, extending previous works on algebraisation of logics. The main feature of this work is that structurality, or…

Category Theory · Mathematics 2021-09-22 Lingyuan Ye

We provide a decidable characterization of regular forest languages definable in FO2(<h,<v). By FO2(<h,<v) we refer to the two variable fragment of first order logic built from the descendant relation and the following sibling relation. In…

Logic in Computer Science · Computer Science 2017-01-11 Thomas Place , Luc Segoufin

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

Regular cost functions have been introduced recently as an extension to the notion of regular languages with counting capabilities, which retains strong closure, equivalence, and decidability properties. The specificity of cost functions is…

Logic in Computer Science · Computer Science 2017-02-09 Denis Kuperberg

One of the common traits of past and present approaches for Semantic Role Labeling (SRL) is that they rely upon discrete labels drawn from a predefined linguistic inventory to classify predicate senses and their arguments. However, we argue…

Computation and Language · Computer Science 2022-12-05 Simone Conia , Edoardo Barba , Alessandro Scirè , Roberto Navigli

Dependently typed lambda calculi such as the Edinburgh Logical Framework (LF) are a popular means for encoding rule-based specifications concerning formal syntactic objects. In these frameworks, relations over terms representing formal…

Logic in Computer Science · Computer Science 2013-11-01 Mary Southern , Gopalan Nadathur

The formal construction of the second-order logic or predicate calculus essentially adds quantifiers to propositional logic. Why second-order logic cannot be reduced to that of the first order? How to demonstrate that certain predicates are…

Logic · Mathematics 2012-02-16 Hector Zenil

As fragments of first-order logic, Description logics (DLs) do not provide nonmonotonic features such as defeasible inheritance and default rules. Since many applications would benefit from the availability of such features, several…

Logic in Computer Science · Computer Science 2014-01-16 Piero A. Bonatti , Carsten Lutz , Frank Wolter

We introduce a logical foundation to reason on tree structures with constraints on the number of node occurrences. Related formalisms are limited to express occurrence constraints on particular tree regions, as for instance the children of…

Logic in Computer Science · Computer Science 2015-07-01 Everardo Bárcenas , Jesús Lavalle
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