English
Related papers

Related papers: Allen's Interval Algebra Makes the Difference

200 papers

This paper presents a novel set-based computing method, called interval superposition arithmetic, for enclosing the image set of multivariate factorable functions on a given domain. In order to construct such enclosures, the proposed…

Numerical Analysis · Mathematics 2018-02-14 Yanlin Zha , Mario E. Villanueva , Boris Houska

Interval arithmetic is a simple way to compute a mathematical expression to an arbitrary accuracy, widely used for verifying floating-point computations. Yet this simplicity belies challenges. Some inputs violate preconditions or cause…

Numerical Analysis · Mathematics 2021-07-14 Oliver Flatt , Pavel Panchekha

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

Answer Set Programming (ASP), a well-known declarative logic programming paradigm, has recently found practical application in Process Mining. In particular, ASP has been used to model tasks involving declarative specifications of business…

Logic in Computer Science · Computer Science 2025-02-19 Francesco Chiariello , Valeria Fionda , Antonio Ielo , Francesco Ricca

The formalizations of periods of time inside a linear model of Time are usually based on the notion of intervals, that may contain or may not their endpoints. This is not enought when the periods are written in terms of coarse granularities…

Artificial Intelligence · Computer Science 2007-05-23 Sylviane Schwer

Active learning (AL) is a promising ML paradigm that has the potential to parse through large unlabeled data and help reduce annotation cost in domains where labeling data can be prohibitive. Recently proposed neural network based AL…

Machine Learning · Computer Science 2022-06-17 Prateek Munjal , Nasir Hayat , Munawar Hayat , Jamshid Sourati , Shadab Khan

We develop a computational approach to Metric Answer Set Programming (ASP) to allow for expressing quantitative temporal constraints, like durations and deadlines. A central challenge is to maintain scalability when dealing with…

Artificial Intelligence · Computer Science 2026-01-29 Arvid Becker , Pedro Cabalar , Martin Diéguez , Susana Hahn , Javier Romero , Torsten Schaub

We present alternative approaches to routing and scheduling in Answer Set Programming (ASP), and explore them in the context of Multi-agent Path Finding. The idea is to capture the flow of time in terms of partial orders rather than time…

Artificial Intelligence · Computer Science 2024-03-20 Roland Kaminski , Torsten Schaub , Tran Cao Son , Jiří Švancara , Philipp Wanko

We develop a computational approach to Metric Answer Set Programming (ASP) to allow for expressing quantitative temporal constrains, like durations and deadlines. A central challenge is to maintain scalability when dealing with fine-grained…

Artificial Intelligence · Computer Science 2025-06-11 Arvid Becker , Pedro Cabalar , Martin Diéguez , Javier Romero , Susana Hahn , Torsten Schaub

This paper presents a systematic study of the calculus of interval-valued functions and its application to interval differential equations. To this end, first, we introduce new interval arithmetic operations. Under new operations, the space…

General Mathematics · Mathematics 2025-12-01 Wei Liu , Muhammad Aamir Ali , Yanrong An

We present a family of spatio-temporal theories suitable for continuous spatial change in general, and for continuous motion of spatial scenes in particular. The family is obtained by spatio-temporalising the well-known ALC(D) family of…

Artificial Intelligence · Computer Science 2016-08-31 Amar Isli

In a previous paper, we have given an algebraic model to the set of intervals. Here, we apply this model in a linear frame. We define a notion of diagonalization of square matrices whose coefficients are intervals. But in this case, with…

Numerical Analysis · Mathematics 2010-06-29 Nicolas Goze

We introduce an implementation of an extension of Answer Set Programming (ASP) with language constructs from dynamic (and temporal) logic that provides an expressive computational framework for modeling dynamic applications. Starting from…

Artificial Intelligence · Computer Science 2020-02-20 Pedro Cabalar , Martín Diéguez , Torsten Schaub , François Laferrière

Temporal relation classification is the task of determining the temporal relation between pairs of temporal entities in a text. Despite recent advancements in natural language processing, temporal relation classification remains a…

Computation and Language · Computer Science 2026-04-28 Hugo Sousa , Ricardo Campos , Alípio Jorge

Supervised machine learning and deep learning require a large amount of labeled data, which data scientists obtain in a manual, and time-consuming annotation process. To mitigate this challenge, Active Learning (AL) proposes promising data…

Computation and Language · Computer Science 2023-08-08 Philipp Kohl , Nils Freyer , Yoka Krämer , Henri Werth , Steffen Wolf , Bodo Kraft , Matthias Meinecke , Albert Zündorf

This research started with an algebra for reasoning about rely/guarantee concurrency for a shared memory model. The approach taken led to a more abstract algebra of atomic steps, in which atomic steps synchronise (rather than interleave)…

Logic in Computer Science · Computer Science 2022-01-19 Ian J. Hayes , Robert Colvin , Larissa Meinicke , Kirsten Winter , Andrius Velykis

Assumption-based argumentation (ABA) is a central structured argumentation formalism. As shown recently, answer set programming (ASP) enables efficiently solving NP-hard reasoning tasks of ABA in practice, in particular in the commonly…

Artificial Intelligence · Computer Science 2021-08-10 Tuomo Lehtonen , Johannes P. Wallner , Matti Järvisalo

Answer Set Programming (ASP) is a well-established formalism for logic programming. Problem solving in ASP requires to write an ASP program whose answers sets correspond to solutions. Albeit the non-existence of answer sets for some ASP…

Logic in Computer Science · Computer Science 2020-02-19 Giovanni Amendola , Carmine Dodaro , Francesco Ricca

This work considers special types of interval linear systems - overdetermined systems. Simply said these systems have more equations than variables. The solution set of an interval linear system is a collection of all solutions of all…

Numerical Analysis · Computer Science 2013-04-18 Jaroslav Horáček , Milan Hladík

In this paper, we present ASPEN, an answer set programming (ASP) implementation of a recently proposed declarative framework for collective entity resolution (ER). While an ASP encoding had been previously suggested, several practical…