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Recently, symbolic computation and computer algebra systems have been successfully applied in systems biology, especially in chemical reaction network theory. One advantage of symbolic computation is its potential for qualitative answers to…

Molecular Networks · Quantitative Biology 2022-01-25 Christoph Lüders , Thomas Sturm , Ovidiu Radulescu

The application of machine learning algorithms to source code has grown in the past years. Since these algorithms are quite sensitive to input data, it is not surprising that researchers experiment with input representations. Nowadays, a…

Software Engineering · Computer Science 2021-03-25 Egor Spirin , Egor Bogomolov , Vladimir Kovalenko , Timofey Bryksin

A brief characteristic of the specialized computer algebra system GRG_EC intended for symbolic computations in the field of general relativity is given.

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Tertychniy

We present scg-cli, a~command line tool facilitating software comprehension. The tool extracts semantic information about code structure and dependencies from the Java and Scala projects, and structures it as a~Semantic Code Graph (SCG), an…

Software Engineering · Computer Science 2023-10-06 Krzysztof Borowski , Bartosz Baliś

Integration techniques for combining programs written in distinct language paradigms facilitate the implementation of specialised modules in the best language for their task. In the case of Java-Prolog integration, a known problem is the…

Programming Languages · Computer Science 2014-05-30 Sergio Castro , Kim Mens , Paulo Moura

In this paper we introduce Redberry --- an open source computer algebra system with native support of tensorial expressions. It provides basic computer algebra tools (algebraic manipulations, substitutions, basic simplifications etc.) which…

Symbolic Computation · Computer Science 2015-01-07 D. A. Bolotin , S. V. Poslavsky

Integer programming is concerned with solving linear systems of equations over the non-negative integers. The basic question is to find a solution which minimizes a given linear objective function for a fixed right hand side. Here we also…

Optimization and Control · Mathematics 2007-05-23 Bernd Sturmfels

Symbolic execution is an SMT-based software verification and testing technique. Symbolic execution requires tracking performed computations during software simulation to reason about branches in the software under test. The prevailing…

Software Engineering · Computer Science 2025-05-27 Sören Tempel , Tobias Brandt , Christoph Lüth , Christian Dietrich , Rolf Drechsler

We describe a package realized in the Julia programming language which performs symbolic manipulations applied to nonlinear evolution equations, their flows, and commutators of such objects. This tool was employed to perform contrived…

Numerical Analysis · Mathematics 2016-05-03 Winfried Auzinger , Harald Hofstaetter , Othmar Koch

Polymorphic types are an important feature in most strongly typed programming languages. They allow functions to be written in a way that can be used with different data types, while still enforcing the relationship and constraints between…

Programming Languages · Computer Science 2024-05-22 Shuai Fu , Tim Dwyer , Peter J. Stuckey

This paper has a practical aim. For a long time, implementations of pseudorandom number generators in standard libraries of programming languages had poor quality. The situation started to improve only recently. Up to now, a large number of…

Mathematical Software · Computer Science 2020-04-21 Migran N. Gevorkyan , Dmitry S. Kulyabov , Anastasia V. Demidova , Anna V. Korolkova

In this paper we present our experience in using visualization in mathematics education. The experience with our university courses: "Computer tools in matematics" and "Symbolic algebra" provides the basis for mathematics teacher education…

Computers and Society · Computer Science 2019-10-15 Branko Malesevic , Ivana Jovovic , Bojan Banjac

Simulating complex systems remains an ongoing challenge for classical computers, while being recognised as a task where a quantum computer has a natural advantage. In both digital and analogue quantum simulations the system description is…

Quantum Physics · Physics 2025-03-03 Maite Arcos , Harriet Apel , Toby Cubitt

The naive combination of polymorphic effects and polymorphic type assignment has been well known to break type safety. Existing approaches to this problem are classified into two groups: one for restricting how effects are triggered and the…

Programming Languages · Computer Science 2024-05-29 Taro Sekiyama , Takeshi Tsukada , Atsushi Igarashi

Dense and sparse tensors allow the representation of most bulk data structures in computational science applications. We show that sparse tensor algebra can also be used to express many of the transformations on these datasets, especially…

Mathematical Software · Computer Science 2015-12-02 Edgar Solomonik , Torsten Hoefler

Embedding a programming language in a QR code is a new and extremely promising opportunity, as it makes devices and objects smarter without necessarily requiring an Internet connection. In this paper, all the steps needed to translate a…

Networking and Internet Architecture · Computer Science 2024-04-09 Stefano Scanzio , Gianluca Cena , Adriano Valenzano

Our goal is to define an algebraic language for reasoning about non-deterministic computations. Towards this goal, we introduce an algebra of string-to-string transductions. Specifically, it is an algebra of partial functions on words over…

Logic in Computer Science · Computer Science 2023-11-22 Eugenia Ternovska

The symbolic manipulation program FORM is specialized to handle very large algebraic expressions. Some specific features of its internal structure make FORM very well suited for parallelization. We have now two parallel versions of FORM,…

High Energy Physics - Phenomenology · Physics 2011-04-20 M. Tentyukov , J. A. M. Vermaseren , J. Vollinga

The lower and upper bound of any given algorithm is one of the most crucial pieces of information needed when evaluating the computational effectiveness for said algorithm. Here a novel method of Boolean Algebraic Programming for symbolic…

Data Structures and Algorithms · Computer Science 2014-07-14 Daniel McCormack

Illumination of scenes is usually generated in computer graphics using polygonal meshes. In this paper, we present a geometric method using projections. Starting from an implicit polynomial equation of a surface in 3-D or a curve in 2-D, we…

Computational Geometry · Computer Science 2026-04-03 Michal Zamboj , Jakub Řada