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The aim of this work is to provide a family of qualitative theories for spatial change in general, and for motion of spatial scenes in particular. To achieve this, we consider a spatio-temporalisation MTALC(D_x), of the well-known ALC(D)…

Artificial Intelligence · Computer Science 2007-05-23 Amar Isli

We consider the well-known family ALC(D) of description logics with a concrete domain, and provide first results on a framework obtained by augmenting ALC(D) atemporal roles and aspatial concrete domain with temporal roles and a spatial…

Artificial Intelligence · Computer Science 2007-05-23 Amar Isli

The aim of this work is to provide a family of qualitative theories for spatial change in general, and for motion of spatial scenes in particular. To achieve this, we consider a spatio-temporalisation MTALC(Dx), of the well-known ALC(D)…

Artificial Intelligence · Computer Science 2020-03-02 Amar Isli

Standard Description Logics (DLs) can encode quantitative aspects of an application domain through either number restrictions, which constrain the number of individuals that are in a certain relationship with an individual, or concrete…

Logic in Computer Science · Computer Science 2025-05-28 Franz Baader , Stefan Borgwardt , Filippo De Bortoli , Patrick Koopmann

In this paper we combine Answer Set Programming (ASP) with Dynamic Linear Time Temporal Logic (DLTL) to define a temporal logic programming language for reasoning about complex actions and infinite computations. DLTL extends propositional…

Artificial Intelligence · Computer Science 2011-10-18 Laura Giordano , Alberto Martelli , Daniele Theseider Dupré

A class of interval-based temporal languages for uniformly representing and reasoning about actions and plans is presented. Actions are represented by describing what is true while the action itself is occurring, and plans are constructed…

Artificial Intelligence · Computer Science 2011-05-30 A. Artale , E. Franconi

Concrete domains, especially those that allow to compare features with numeric values, have long been recognized as a very desirable extension of description logics (DLs), and significant efforts have been invested into adding them to usual…

Artificial Intelligence · Computer Science 2020-06-04 Nadia Labai , Magdalena Ortiz , Mantas Šimkus

This paper combines two important directions of research in temporal resoning: that of finding maximal tractable subclasses of Allen's interval algebra, and that of reasoning with metric temporal information. Eight new maximal tractable…

Artificial Intelligence · Computer Science 2008-02-03 T. Drakengren , P. Jonsson

Allen's Interval Algebra constitutes a framework for reasoning about temporal information in a qualitative manner. In particular, it uses intervals, i.e., pairs of endpoints, on the timeline to represent entities corresponding to actions,…

Artificial Intelligence · Computer Science 2019-09-04 Tomi Janhunen , Michael Sioutis

To any fixed, finite relational structure, $\mathbb{D}$, there is an associated decision problem, CSP$(\mathbb{D})$, which is a restricted version of the constraint satisfaction problem. In [8], the so called "algebraic approach" to the…

Logic · Mathematics 2016-09-14 Ian Payne

Concrete domains have been introduced in the context of Description Logics to allow references to qualitative and quantitative values. In particular, the class of $\omega$-admissible concrete domains, which includes Allen's interval…

Logic in Computer Science · Computer Science 2024-05-30 Stefan Borgwardt , Filippo De Bortoli , Patrick Koopmann

Many automated planning methods and formulations rely on suitably designed abstractions or simplifications of the constrained dynamics associated with agents to attain computational scalability. We consider formulations of temporal planning…

Logic in Computer Science · Computer Science 2024-06-17 Miquel Ramirez , Anubhav Singh , Peter Stuckey , Chris Manzie

In a major advance and simplification of this field, we show that A Local Resolution of the Problem of Time - also viewable as A Local Theory of Background Independence - can at the classical level be described solely by of Lie's…

General Relativity and Quantum Cosmology · Physics 2019-08-01 Edward Anderson

We present CLTLB(D), an extension of PLTLB (PLTL with both past and future operators) augmented with atomic formulae built over a constraint system D. Even for decidable constraint systems, satisfiability and Model Checking problem of such…

Logic in Computer Science · Computer Science 2010-04-21 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

ASD (Abstract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same category as the original space, with an associated…

General Topology · Mathematics 2019-03-14 Paul Taylor

We investigate the applicability of divisible residuated lattices (DRLs) as a general evaluation framework for soft constraint satisfaction problems (soft CSPs). DRLs are in fact natural candidates for this role, since they form the…

Logic in Computer Science · Computer Science 2008-05-22 Simone Bova

We study formalisms for temporal and spatial reasoning in the modern context of Constraint Satisfaction Problems (CSPs). We show how questions on the complexity of their subclasses can be solved using existing results via the powerful use…

Logic in Computer Science · Computer Science 2018-05-08 Barnaby Martin , Peter Jonsson , Manuel Bodirsky , Antoine Mottet

The CLP scheme uses Horn clauses and SLD resolution to generate multiple constraint satisfaction problems (CSPs). The possible CSPs include rational trees (giving Prolog) and numerical algorithms for solving linear equations and linear…

Programming Languages · Computer Science 2010-02-09 M. H. van Emden

Domain adaptation on time series data is an important but challenging task. Most of the existing works in this area are based on the learning of the domain-invariant representation of the data with the help of restrictions like MMD.…

Machine Learning · Computer Science 2021-06-18 Ruichu Cai , Jiawei Chen , Zijian Li , Wei Chen , Keli Zhang , Junjian Ye , Zhuozhang Li , Xiaoyan Yang , Zhenjie Zhang

We design temporal description logics suitable for reasoning about temporal conceptual data models and investigate their computational complexity. Our formalisms are based on DL-Lite logics with three types of concept inclusions (ranging…

Logic in Computer Science · Computer Science 2014-05-05 Alessandro Artale , Roman Kontchakov , Vladislav Ryzhikov , Michael Zakharyaschev
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