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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

We study a physically motivated representation of an algebra of operators in gravitational and non gravitational theories called the covariant representation of an algebra. This is a representation where the symmetries of the operator…

High Energy Physics - Theory · Physics 2023-08-29 Eyoab Bahiru

Writing efficient hybrid parallel code is tedious, error-prone, and requires good knowledge of both parallel programming and multithreading such as MPI and OpenMP, resp. Therefore, we present a framework which is based on a job model that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Ralf-Peter Mundani , Marko Ljucović , Ernst Rank

We introduce two extensions of the $\lambda$-calculus with a probabilistic choice operator, $\Lambda_\oplus^{cbv}$ and $\Lambda_\oplus^{cbn}$, modeling respectively call-by-value and call-by-name probabilistic computation. We prove that…

Logic in Computer Science · Computer Science 2019-05-13 Claudia Faggian , Simona Ronchi della Rocca

Many computer algebra systems have more than 1000 built-in functions, making expertise difficult. Using mock dialog boxes, this article describes a proposed interactive general-purpose wizard for organizing optional transformations and…

Symbolic Computation · Computer Science 2016-11-26 David R. Stoutemyer

Quantum effects play an important role in quantum measurement theory. The set of all quantum effects can be organized into an algebraical structure called effect algebra. In this paper, we study various topologies on the Hilbert space…

Quantum Physics · Physics 2015-05-13 Zhihao Ma , Sen Zhu

Control parallelism and data parallelism is mostly reasoned and optimized as separate functions. Because of this, workloads that are irregular, fine-grain and dynamic such as dynamic graph processing become very hard to scale. An…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-08 Bibrak Qamar Chandio , Thomas Sterling , Prateek Srivastava

Following our previous work, we suggest here a large class of algebras of scalars in which simultaneous and correlated computations can be performed owing to the existence of surjective algebra homomorphisms. This may replace the currently…

General Mathematics · Mathematics 2007-05-23 Elemer E Rosinger

By considering $p,q$-deformed and $\mu$-deformed algebras we propose an association of them to form a hybrid deformed algebra. The increased number of available parameters can provide us with a richer tool to investigate new scenarios…

Statistical Mechanics · Physics 2019-04-17 Andre A. Marinho , Francisco A. Brito

We describe an abstract loop-based intermediate representation that can express fused implementations of relational algebra expressions on sets and bags (multisets). The loops are abstracted away from physical data structures thus making it…

Programming Languages · Computer Science 2025-02-12 James Dong , Fredrik Kjolstad

This paper describes how one can implement distributed {\lambda}-calculus interpreter from scratch. At first, we describe how to implement a monadic parser, than the Krivine Machine is introduced for the interpretation part and as for…

Programming Languages · Computer Science 2018-02-20 Alexandr Basov , Daniel de Carvalho , Manuel Mazzara

The construction of Mapper has emerged in the last decade as a powerful and effective topological data analysis tool that approximates and generalizes other topological summaries, such as the Reeb graph, the contour tree, split, and joint…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Mustafa Hajij , Basem Assiri , Paul Rosen

This paper presents Haskell#, a coordination language targeted at the efficient implementation of parallel scientific applications on loosely coupled parallel architectures, using the functional language Haskell. Examples of applications,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-21 Francisco Heron de Carvalho Junior , Rafael Dueire Lins

This article deals with OLAP systems based on multidimensional model. The conceptual model we provide, represents data through a constellation (multi-facts) composed of several multi-hierarchy dimensions. In this model, data are displayed…

Databases · Computer Science 2010-05-20 Franck Ravat , Olivier Teste , Gilles Zurfluh

The Algebraic lambda-calculus and the Linear-Algebraic lambda-calculus extend the lambda-calculus with the possibility of making arbitrary linear combinations of terms. In this paper we provide a fine-grained, System F-like type system for…

Logic in Computer Science · Computer Science 2015-07-01 Pablo Arrighi , Alejandro Diaz-Caro

An algebraic method is used to study the semantics of exceptions in computer languages. The exceptions form a computational effect, in the sense that there is an apparent mismatch between the syntax of exceptions and their intended…

Logic in Computer Science · Computer Science 2012-10-30 Jean-Guillaume Dumas , Dominique Duval , Laurent Fousse , Jean-Claude Reynaud

The set theory relations \in, \backslash, \Delta, \cap, and \cup have corollaries in subspace relations. Geometric Algebra is introduced as the ideal framework to explore these subspace operations. The relations \in, \backslash, and \Delta…

Rings and Algebras · Mathematics 2007-05-23 T. A. Bouma , L. Dorst , H. G. J. Pijls

The work reported here introduces Defeasible Logic Programming (DeLP), a formalism that combines results of Logic Programming and Defeasible Argumentation. DeLP provides the possibility of representing information in the form of weak rules…

Artificial Intelligence · Computer Science 2007-05-23 Alejandro Javier Garcia , Guillermo Ricardo Simari

One can perform equational reasoning about computational effects with a purely functional programming language thanks to monads. Even though equational reasoning for effectful programs is desirable, it is not yet mainstream. This is partly…

Logic in Computer Science · Computer Science 2025-01-15 Reynald Affeldt , Jacques Garrigue , Takafumi Saikawa

In this paper we explore algebraic and geometric structures that arise on parallelizable manifolds. Given a parallelizable manifold $\mathbb{L}$, there exists a global trivialization of the tangent bundle, which defines a map…

Rings and Algebras · Mathematics 2024-03-22 Sergey Grigorian
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