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In the multicentric calculus one takes a polynomial with simple roots as a new global variable and replaces scalar functions {\varphi} by functions f taking values in C^d with d the degree of the polynomial leading to an efficient…

Functional Analysis · Mathematics 2021-05-28 Diana Andrei

Radiative transfer modelling is part of many astrophysical simulations and is used to make synthetic observations and to assist analysis of observations. We concentrate on the modelling of the radio lines emitted by the interstellar medium.…

Instrumentation and Methods for Astrophysics · Physics 2021-01-04 M. Juvela

This paper presents a logical approach to the translation of functional calculi into concurrent process calculi. The starting point is a type system for the {\pi}-calculus closely related to linear logic. Decompositions of intuitionistic…

Logic in Computer Science · Computer Science 2011-07-22 Emmanuel Beffara

Data intensive workloads have become a popular use of HPC in recent years and the question of how data scientists, who might not be HPC experts, can effectively program these machines is important to address. Whilst using models such as…

Programming Languages · Computer Science 2020-09-29 Nick Brown

Modular programming is a cornerstone in software development, as it allows to build complex systems from the assembly of simpler components, and support reusability and substitution principles. In a distributed setting, component assembly…

Programming Languages · Computer Science 2018-01-25 Marco Carbone , Fabrizio Montesi , Hugo Torres Vieira

A type system combining type application, constants as types, union types (associative, commutative and idempotent) and recursive types has recently been proposed for statically typing path polymorphism, the ability to define functions that…

Logic in Computer Science · Computer Science 2020-06-30 Juan Edi , Andrés Viso , Eduardo Bonelli

Package managers are legion. Every programming language and operating system has its own solution, each with subtly different semantics for dependency resolution. This fragmentation prevents multilingual projects from expressing precise…

Programming Languages · Computer Science 2026-02-24 Ryan Gibb , Patrick Ferris , David Allsopp , Thomas Gazagnaire , Anil Madhavapeddy

Reversible distributed programs have the ability to abort unproductive computation paths and backtrack, while unwinding communication that occurred in the aborted paths. While it is natural to assume that reversibility implies full state…

Programming Languages · Computer Science 2016-02-12 Geoffrey Brown , Amr Sabry

Technical computing is a challenging application area for programming languages to address. This is evinced by the unusually large number of specialized languages in the area (e.g. MATLAB, R), and the complexity of common software stacks,…

Programming Languages · Computer Science 2018-08-13 Jeff Bezanson , Jake Bolewski , Jiahao Chen

We address the design of distributed systems with synchronous dataflow programming languages. As modular design entails handling both architectural and functional modularity, our first contribution is to extend an existing synchronous…

Programming Languages · Computer Science 2012-11-13 Gwenaël Delaval , Alain Girault , Marc Pouzet

The use of pointers and data-structures based on pointers results in circular memory references that are interpreted by a vital compiler analysis, namely pointer analysis. For a pair of memory references at a program point, a typical…

Programming Languages · Computer Science 2011-12-19 Mohamed A. El-Zawawy

In this paper, we consider a secure multi-party computation problem (MPC), where the goal is to offload the computation of an arbitrary polynomial function of some massive private matrices (inputs) to a cluster of workers. The workers are…

Information Theory · Computer Science 2020-09-16 Hanzaleh Akbari Nodehi , Mohammad Ali Maddah-Ali

Name-passing calculi are foundational models for mobile computing. Research into these models has produced a wealth of results ranging from relative expressiveness to programming pragmatics. The diversity of these results call for…

Logic in Computer Science · Computer Science 2015-08-04 Yuxi Fu , Han Zhu

We study the computational model of polygraphs. For that, we consider polygraphic programs, a subclass of these objects, as a formal description of first-order functional programs. We explain their semantics and prove that they form a…

Logic in Computer Science · Computer Science 2015-07-01 Guillaume Bonfante , Yves Guiraud

Currently, multi/many-core CPUs are considered standard in most types of computers including, mobile phones, PCs or supercomputers. However, the parallelization of applications as well as refactoring/design of applications for efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-25 Garip Kusoglu , Berenger Bramas , Stephane Genaud

Situation calculus has been widely applied in Artificial Intelligence related fields. This formalism is considered as a dialect of logic programming language and mostly used in dynamic domain modeling. However, type systems are hardly…

Programming Languages · Computer Science 2012-06-19 Li Tan

Capture calculus has recently been proposed as a solution to effect checking, achieved by tracking the captured references of terms in the types. Boxes, along with the box and unbox operations, are a crucial construct in capture calculus,…

Programming Languages · Computer Science 2023-06-13 Yichen Xu , Martin Odersky

Pull-tabbing is an evaluation technique for functional logic programs which computes all non-deterministic results in a single graph structure. Pull-tab steps are local graph transformations to move non-deterministic choices towards the…

Programming Languages · Computer Science 2020-08-28 Michael Hanus , Finn Teegen

We define two extensions of the typed linear lambda-calculus that yield minimal Turing-complete systems. The extensions are based on unbounded recursion in one case, and bounded recursion with minimisation in the other. We show that both…

Logic in Computer Science · Computer Science 2016-11-28 Sandra Alves , Maribel Fernández , Mário Florido , Ian Mackie

Path polymorphism is the ability to define functions that can operate uniformly over arbitrary recursively specified data structures. Its essence is captured by patterns of the form $x\,y$ which decompose a compound data structure into its…

Logic in Computer Science · Computer Science 2020-06-30 Andrés Viso , Eduardo Bonelli , Mauricio Ayala-Rincón