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The widespread recognition of the smart contracts has established their importance in the landscape of next generation blockchain technology. However, writing a correct smart contract is notoriously difficult. Moreover, once a…

Software Engineering · Computer Science 2019-11-26 Xinming Wang , Zhijian Xie , Jiahao He , Gansen Zhao , Nie Ruihua

Despite their ability to aid developers in detecting potential defects early in the software development life cycle, static analysis tools often suffer from precision issues (i.e., high false positive rates of reported alarms). To improve…

Software Engineering · Computer Science 2024-01-22 Yuwei Zhang , Ying Xing , Ge Li , Zhi Jin

We present an interactive framework that, given a membership test for a graph class $\mathcal{G}$ and a number $k$, finds and tests unavoidable sets for the class of graphs in $\mathcal{G}$ of path-width at most $k$. We put special emphasis…

Combinatorics · Mathematics 2020-10-19 Oliver Bachtler , Irene Heinrich

Network Meta-Analysis (NMA) plays a pivotal role in synthesizing evidence from various sources and comparing multiple interventions. At its core, NMA relies on integrating both direct evidence from head-to-head comparisons and indirect…

We study a large family of graph covering problems, whose definitions rely on distances, for graphs of bounded cyclomatic number (that is, the minimum number of edges that need to be removed from the graph to destroy all cycles). These…

Discrete Mathematics · Computer Science 2025-09-03 Dibyayan Chakraborty , Florent Foucaud , Anni Hakanen

Using validated numerical methods, interval arithmetic and Taylor models, we propose a certified predictor-corrector loop for tracking zeros of polynomial systems with a parameter. We provide a Rust implementation which shows tremendous…

Numerical Analysis · Mathematics 2024-06-13 Alexandre Guillemot , Pierre Lairez

Two subsets of a given set are path-disconnected if they lie in different connected components of the larger set. Verification of path-disconnectedness is essential in proving the infeasibility of motion planning and trajectory optimization…

Optimization and Control · Mathematics 2024-04-11 Didier Henrion , Jared Miller , Mohab Safey El Din

We describe a technique for systematic testing of multi-threaded programs. We combine Quasi-Optimal Partial-Order Reduction, a state-of-the-art technique that tackles path explosion due to interleaving non-determinism, with symbolic…

Programming Languages · Computer Science 2020-07-23 Daniel Schemmel , Julian Büning , César Rodríguez , David Laprell , Klaus Wehrle

Dyck paths are one of the most important objects in enumerative combinatorics, and there are many papers devoted to counting selected families of Dyck paths. Here we present two approaches for the automatic counting of many such families,…

Combinatorics · Mathematics 2020-06-19 Shalosh B. Ekhad , Doron Zeilberger

Formal methods for verification of programs are extended to testing of programs. Their combination is intended to lead to benefits in reliable program development, testing, and evolution. Our geometric theory of testing is intended to serve…

Software Engineering · Computer Science 2022-06-07 Bernhard Moller , Tony Hoare , Zhe Hou , Jin Song Dong

Symbolic execution is a powerful verification tool for hardware designs, but suffers from the path explosion problem. We introduce a new approach, piecewise composition, which leverages the modular structure of hardware to transfer the work…

Cryptography and Security · Computer Science 2023-04-13 Kaki Ryan , Cynthia Sturton

This article discusses a new technique to automatically generate test cases for object oriented programs. At the state of the art, the problem of generating adequate sets of complete test cases has not been satisfactorily solved yet. There…

Software Engineering · Computer Science 2020-05-20 Matteo Modonato

Creating attack paths for cyber defence exercises requires substantial expert effort. Existing automation requires vulnerability graphs or exploit sets curated in advance, limiting where it can be applied. We present AEGIS, a system that…

Cryptography and Security · Computer Science 2026-02-02 Ivan K. Tung , Yu Xiang Shi , Alex Chien , Wenkai Liu , Lawrence Zheng

We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify polynomial runtime complexity of term rewrite systems and the polytime computability of the…

Logic in Computer Science · Computer Science 2011-06-09 Martin Avanzini , Georg Moser

We present an algorithm to express Wilson lines that are defined on piecewise linear paths in function of their individual segments, reducing the number of diagrams needed to be calculated. The important step lies in the observation that…

High Energy Physics - Phenomenology · Physics 2016-03-23 Frederik F. Van der Veken

Symbolic execution is a program analysis technique executing programs with symbolic instead of concrete inputs. This principle allows for exploring many program paths at once. Despite its wide adoption -- in particular for program testing…

Programming Languages · Computer Science 2023-10-13 Arthur Correnson , Dominic Steinhoefel

Cyclomatic complexity is an incompletely specified but mathematically principled software metric that can be usefully applied to both source and binary code. We consider the application of path homology as a stronger analogue of cyclomatic…

Software Engineering · Computer Science 2020-08-28 Steve Huntsman

We present a novel graph-theoretic method for small bowel path tracking. It is formulated as finding the minimum cost path between given start and end nodes on a graph that is constructed based on the bowel wall detection. We observed that…

Image and Video Processing · Electrical Eng. & Systems 2022-02-17 Seung Yeon Shin , Sungwon Lee , Ronald M. Summers

Heuristic-based methods are among the most popular methods in the process discovery area. This category of methods is composed of two main steps: 1) discovering a dependency graph 2) determining the split/join patterns of the dependency…

Artificial Intelligence · Computer Science 2022-03-22 Maryam Tavakoli-Zaniani , Mohammad Reza Gholamian , S. Alireza Hashemi Golpayegani

Ongoing progress in computational intelligence (CI) has led to an increased desire to apply CI techniques for the purpose of improving software engineering processes, particularly software testing. Existing state-of-the-art automated…

Neural and Evolutionary Computing · Computer Science 2023-02-16 Jarrod Goschen , Anna Sergeevna Bosman , Stefan Gruner