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We define a broad class of deterministic stream functions and show they can be implemented as homomorphisms into a "state" monoid. The homomorphism laws are simpler than the conditions of previous semantic frameworks for stream program…

Programming Languages · Computer Science 2025-07-16 Tyler Hou , Michael Arntzenius , Max Willsey

Choreographic programming is a paradigm where a concurrent or distributed system is developed in a top-down fashion. Programs, called choreographies, detail the desired interactions between processes, and can be compiled to distributed…

Programming Languages · Computer Science 2023-05-01 Luís Cruz-Filipe , Eva Graversen , Fabrizio Montesi , Marco Peressotti

Directed topology is an area of mathematics with applications in concurrency. It extends the concept of a topological space by adding a notion of directedness, which restricts how paths can evolve through a space and enables thereby a…

Logic in Computer Science · Computer Science 2025-05-20 Henning Basold , Peter Bruin , Dominique Lawson

System programming languages are typically compiled in a linear pipeline process, which is a completely opaque and isolated to end-users. This limits the possibilities of performing meta-programming in the same language and environment, and…

Programming Languages · Computer Science 2023-09-28 Ronie Salgado

I discuss possible definitions of categories of vector spaces enriched with a notion of formal infinite linear combination in the likes of the formal infinite linear combinations one has in the context of generalized power series, I call…

Category Theory · Mathematics 2026-03-10 Pietro Freni

Co-simulation consists of the theory and techniques to enable global simulation of a coupled system via the composition of simulators. Despite the large number of applications and growing interest in the challenges, the field remains…

Computational Engineering, Finance, and Science · Computer Science 2018-09-25 Cláudio Gomes , Casper Thule , Peter Gorm Larsen , Joachim Denil , Hans Vangheluwe

We introduce combinatorial types of arrangements of convex bodies, extending order types of point sets to arrangements of convex bodies, and study their realization spaces. Our main results witness a trade-off between the combinatorial…

Metric Geometry · Mathematics 2015-06-23 Michael Gene Dobbins , Andreas Holmsen , Alfredo Hubard

We are entering a new era in which software systems are becoming more and more complex and larger. So, the composition of such systems is becoming infeasible by manual means. To address this challenge, self-organising software models…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Damian Arellanes

Let G be a finite group. The unit sphere in a finite-dimensional orthogonal G-representation motivates the definition of homotopy representations, due to tom Dieck. We introduce an algebraic analogue, and establish its basic properties…

Algebraic Topology · Mathematics 2017-08-29 Ian Hambleton , Ergun Yalcin

[Background] The MVP concept has influenced the way in which development teams apply Software Engineering practices. However, the overall understanding of this influence of MVPs on SE practices is still poor. [Objective] Our goal is to…

Software Engineering · Computer Science 2023-05-16 Silvio Alonso , Marcos Kalinowski , Bruna Ferreira , Simone D. J. Barbosa , Helio Lopes

VISPA is a novel development environment for high energy physics analyses, based on a combination of graphical and textual steering. The primary aim of VISPA is to support physicists in prototyping, performing, and verifying a data analysis…

Data Analysis, Statistics and Probability · Physics 2008-10-21 O. Actis , M. Erdmann , R. Fischer , A. Hinzmann , M. Kirsch , T. Klimkovich , G. Müller , M. Plum , J. Steggemann

The notion of a coherent space is a nonlinear version of the notion of a complex Euclidean space: The vector space axioms are dropped while the notion of inner product is kept. Coherent spaces provide a setting for the study of geometry in…

Mathematical Physics · Physics 2018-10-01 Arnold Neumaier

Membrane computing is a well-established and successful research field which belongs to the more general area of molecular computing. Membrane computing aims at defining parallel and non-deterministic computing models, called membrane…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-11 Bogdan Aman

Hypergraphs are mathematical models for many problems in data sciences. In recent decades, the topological properties of hypergraphs have been studied and various kinds of (co)homologies have been constructed (cf. [3, 4, 12]). In this…

Algebraic Topology · Mathematics 2018-03-15 Stephane Bressan , Jingyan Li , Shiquan Ren , Jie Wu

We show how a declarative functional programming specification of backpropagation yields a visual and transparent implementation within spreadsheets. We call our method Visual Backpropagation. This backpropagation implementation exploits…

Machine Learning · Computer Science 2019-06-11 Roy S. Freedman

In order to understand the physics phenomea on the fundamental aspects, the software simulations are a good exercise to succed in this way. Some work of heat transport and molecular physics laboratory are studied in a comparative mode…

Physics Education · Physics 2007-05-23 Gabriel Murariu , Dorina Toma

In [1] we introduced the concept of structured space, which is a topological space that locally resembles some algebraic structures. In [2] we proceeded the study of these spaces, developing two cohomology theories. The aim of this paper is…

Algebraic Topology · Mathematics 2020-04-28 Manuel Norman

By introducing a common representational system for metadata that describe the employed simulation workflows, diverse sources of data and platforms in computational molecular engineering, such as workflow management systems, can become…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-20 M. T. Horsch , C. Niethammer , G. Boccardo , P. Carbone , S. Chiacchiera , M. Chiricotto , J. D. Elliott , V. Lobaskin , P. Neumann , P. Schiffels , M. A. Seaton , I. T. Todorov , J. Vrabec , W. L. Cavalcanti

PGA (ProGram Algebra) is an algebra of programs which concerns programs in their simplest form: sequences of instructions. Molecular dynamics is a simple model of computation developed in the setting of PGA, which bears on the use of…

Programming Languages · Computer Science 2008-04-08 J. A. Bergstra , C. A. Middelburg

We introduce dPV, an end-to-end differentiable photovoltaic (PV) cell simulator based on the drift-diffusion model and Beer-Lambert law for optical absorption. dPV is programmed in Python using JAX, an automatic differentiation (AD) library…

Computational Physics · Physics 2021-12-10 Sean Mann , Eric Fadel , Samuel S. Schoenholz , Ekin D. Cubuk , Steven G. Johnson , Giuseppe Romano