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Interval linear programming provides a tool for solving real-world optimization problems under interval-valued uncertainty. Instead of approximating or estimating crisp input data, the coefficients of an interval program may perturb…

Optimization and Control · Mathematics 2025-10-08 Elif Garajová , Milan Hladík , Miroslav Rada

Test functions are important to validate new optimization algorithms and to compare the performance of various algorithms. There are many test functions in the literature, but there is no standard list or set of test functions one has to…

Optimization and Control · Mathematics 2010-08-04 Xin-She Yang

Given a computable sequence of natural numbers, it is a natural task to find a G\"odel number of a program that generates this sequence. It is easy to see that this problem is neither continuous nor computable. In algorithmic learning…

Logic · Mathematics 2023-02-09 Vasco Brattka

The use of numerical uncertainty representations allows better modeling of some aspects of human evidential reasoning. It also makes knowledge acquisition and system development, test, and modification more difficult. We propose that where…

Artificial Intelligence · Computer Science 2013-04-11 Richard A. Caruana

Programs to solve so-called constraint problems are complex pieces of software which require many design decisions to be made more or less arbitrarily by the implementer. These decisions affect the performance of the finished solver…

Artificial Intelligence · Computer Science 2010-05-20 Lars Kotthoff , Ian Gent , Ian Miguel

The challenge of automatically determining the correctness of test executions is referred to as the test oracle problem and is one of the key remaining issues for automated testing. The goal in this paper is to solve the test oracle problem…

Software Engineering · Computer Science 2023-10-03 Foivos Tsimpourlas , Ajitha Rajan , Miltiadis Allamanis

The quality of software produced by students is often poor. How to teach students to develop good quality software has long been a topic in computer science education and research. We must conclude that we still do not have a good answer to…

Software Engineering · Computer Science 2023-09-06 Arno Broeders , Ruud Hermans , Sylvia Stuurman , Lex Bijlsma , Harrie Passier

This paper considers program synthesis in the context of computational hardness, asking the question: How hard is it to determine whether a given synthesis problem has a solution or not? To answer this question, this paper studies program…

Logic in Computer Science · Computer Science 2024-05-28 Jinwoo Kim

We present simple, self-contained proofs of correctness for algorithms for linearity testing and program checking of linear functions on finite subsets of integers represented as n-bit numbers. In addition we explore a generalization of…

Computational Complexity · Computer Science 2015-06-24 Sheela Devadas , Ronitt Rubinfeld

We present an algorithm to test whether a given graphical degree sequence is forcibly connected or not and prove its correctness. We also outline the extensions of the algorithm to test whether a given graphical degree sequence is forcibly…

Combinatorics · Mathematics 2018-03-05 Kai Wang

For each function on bit strings, its restriction to bit strings of any given length can be computed by a finite instruction sequence that contains only instructions to set and get the content of Boolean registers, forward jump…

Programming Languages · Computer Science 2018-09-28 J. A. Bergstra , C. A. Middelburg

Software measurement is an essential management tool to develop robust and maintainable software systems. Software metrics can be used to control the inherent complexities in software design. To guarantee that the components of the software…

Software Engineering · Computer Science 2022-01-26 Mamdouh Alenezi

In this vision paper, we explore the challenges and opportunities of a form of computation that employs an empirical (rather than a formal) approach, where the solution of a computational problem is returned as empirically most likely…

Software Engineering · Computer Science 2025-03-17 Eric Tang , Marcel Böhme

Counters that hold natural numbers are ubiquitous in modeling and verifying software systems; for example, they model dynamic creation and use of resources in concurrent programs. Unfortunately, such discrete counters often lead to…

Formal Languages and Automata Theory · Computer Science 2025-11-27 A. R. Balasubramanian , Matthew Hague , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

The model of asynchronous programming arises in many contexts, from low-level systems software to high-level web programming. We take a language-theoretic perspective and show general decidability and undecidability results for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

The intractability of any problem and the randomness of its solutions have an obvious intuitive connection. However, the challenge till now has been that there is no practical way to firmly establish if the solution to a problem is actually…

Computational Complexity · Computer Science 2020-04-06 Arun U

Understanding program code is a complicated endeavor. As such, myriad different factors can influence the outcome. Investigations of program comprehension, and in particular those using controlled experiments, have to take these factors…

Software Engineering · Computer Science 2021-03-17 Dror G. Feitelson

To render a sequence testable, namely capable of identifying and detecting errors, it is necessary to apply a transformation that increases its length by introducing statistical dependence among symbols, as commonly exemplified by the…

Information Theory · Computer Science 2025-07-08 Aida Koch , Alix Petit

We gained insight into ideas and beliefs on testing of students who finished an introductory course on programming without any formal education on testing. We asked students to fill in a small survey, to do four exercises and to fill in a…

Computers and Society · Computer Science 2021-02-19 Lex Bijlsma , Niels Doorn , Harrie Passier , Harold Pootjes , Sylvia Stuurman

A rational number can be naturally presented by an arithmetic computation (AC): a sequence of elementary arithmetic operations starting from a fixed constant, say 1. The asymptotic complexity issues of such a representation are studied e.g.…

Computational Complexity · Computer Science 2007-05-23 Sergey P. Tarasov , Mikhail N. Vyalyi