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I present libcommute, a C++11/14/17 template library that implements a domain-specific language for easy manipulating of polynomial operators used in the quantum many-body theory, as well as a software development toolkit for exact…

Computational Physics · Physics 2021-12-17 Igor Krivenko

While LLM-Based agents, which use external tools to solve complex problems, have made significant progress, benchmarking their ability is challenging, thereby hindering a clear understanding of their limitations. In this paper, we propose…

Computation and Language · Computer Science 2024-11-07 Chuyu Zhang , Songyang Zhang , Yingfan Hu , Haowen Shen , Kuikun Liu , Zerun Ma , Fengzhe Zhou , Wenwei Zhang , Xuming He , Dahua Lin , Kai Chen

In this paper we present $LCSk$++: a new metric for measuring the similarity of long strings, and provide an algorithm for its efficient computation. With ever increasing size of strings occuring in practice, e.g. large genomes of plants…

Data Structures and Algorithms · Computer Science 2019-08-27 Filip Pavetić , Goran Žužić , Mile Šikić

In this article we present REvolver, a C++ library for renormalization group evolution and automatic flavor matching of the QCD coupling and quark masses, as well as precise conversion between various quark mass renormalization schemes. The…

High Energy Physics - Phenomenology · Physics 2021-09-29 Andre H. Hoang , Christopher Lepenik , Vicent Mateu

This paper introduces Paraconsistent-Lib, an open-source, easy-to-use Python library for building PAL2v algorithms in reasoning and decision-making systems. Paraconsistent-Lib is designed as a general-purpose library of PAL2v standard…

We present Gillian, a language-independent framework for the development of compositional symbolic analysis tools. Gillian supports three flavours of analysis: whole-program symbolic testing, full verification, and bi-abduction. It comes…

Programming Languages · Computer Science 2020-01-16 José Fragoso Santos , Petar Maksimović , Sacha-Élie Ayoun , Philippa Gardner

Factorization of polynomials is one of the foundations of symbolic computation. Its applications arise in numerous branches of mathematics and other sciences. However, the present advanced programming languages such as C++ and J++, do not…

Algebraic Geometry · Mathematics 2010-08-24 Yong Feng , Wenyuan Wu , Jingzhong Zhang

Machine learning solutions are very popular in the field of chemoinformatics, where they have numerous applications, such as novel drug discovery or molecular property prediction. Molecular fingerprints are algorithms commonly used for…

Quantitative Methods · Quantitative Biology 2024-04-01 Michał Szafarczyk , Piotr Ludynia , Przemysław Kukla

Since the advent of parallel algorithms in the C++17 Standard Template Library (STL), the STL has become a viable framework for creating performance-portable applications. Given multiple existing implementations of the parallel algorithms,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-12 Ruben Laso , Diego Krupitza , Sascha Hunold

This article introduces 'cpp11armadillo', a new R package that integrates the powerful Armadillo C++ library for linear algebra into the R programming environment. Targeted primarily at social scientists and other non-programmers, this…

Mathematical Software · Computer Science 2025-02-25 Mauricio Vargas Sepúlveda , Jonathan Schneider Malamud

2LS ("tools") is a verification tool for C programs, built upon the CPROVER framework. It allows one to verify user-specified assertions, memory safety properties (e.g. buffer overflows), numerical overflows, division by zero, memory leaks,…

Software Engineering · Computer Science 2023-02-07 Daniel Kroening , Viktor Malík , Peter Schrammel , Tomáš Vojnar

We present a new open source implementation in the SageMath computer algebra system of algorithms for the numerical solution of linear ODEs with polynomial coefficients. Our code supports regular singular connection problems and provides…

Symbolic Computation · Computer Science 2016-07-08 Marc Mezzarobba

Mathematical optimization is the workhorse behind several aspects of modern robotics and control. In these applications, the focus is on constrained optimization, and the ability to work on manifolds (such as the classical matrix Lie…

Robotics · Computer Science 2022-10-06 Wilson Jallet , Antoine Bambade , Nicolas Mansard , Justin Carpentier

This work proposes a methodology to develop new numerical integration algorithms for ordinary differential equations based on state quantization, generalizing the notions of Linearly Implicit Quantized State Systems (LIQSS) methods. Using…

Numerical Analysis · Mathematics 2025-12-22 Mariana Bergonzi , Joaquín Fernández , Ernesto Kofman

The main purpose of this paper is to propose five programs in C++ for matrix computations and solving recurrent equations systems with entries in max plus algebra.

Mathematical Software · Computer Science 2012-05-21 Mihai Ivan , Gheorghe Ivan

Automatic differentiation is a set of techniques to efficiently and accurately compute the derivative of a function represented by a computer program. Existing C++ libraries for automatic differentiation (e.g. Adept, Stan Math Library),…

Mathematical Software · Computer Science 2021-02-09 James Yang

We introduce the Control Toolbox (CT), an open-source C++ library for efficient modeling, control, estimation, trajectory optimization and Model Predictive Control. The CT is applicable to a broad class of dynamic systems but features…

Robotics · Computer Science 2018-07-04 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli

We present SLinGen, a program generation system for linear algebra. The input to SLinGen is an application expressed mathematically in a linear-algebra-inspired language (LA) that we define. LA provides basic scalar/vector/matrix…

Programming Languages · Computer Science 2018-05-15 Daniele G. Spampinato , Diego Fabregat-Traver , Paolo Bientinesi , Markus Pueschel

Benchmarking automated theorem proving (ATP) systems using standardized problem sets is a well-established method for measuring their performance. However, the availability of such libraries for non-classical logics is very limited. In this…

Logic in Computer Science · Computer Science 2019-04-16 Carlos Olarte , Valeria de Paiva , Elaine Pimentel , Giselle Reis

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