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A common technique to verify complex logic specifications for dynamical systems is the construction of symbolic abstractions: simpler, finite-state models whose behaviour mimics the one of the systems of interest. Typically, abstractions…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Rudi Coppola , Andrea Peruffo , Manuel Mazo

In this paper we present a comparative study of path feasibility queries generated during path exploration based software engineering methods. Symbolic execution based methods are gaining importance in different aspects of software…

Software Engineering · Computer Science 2013-02-21 Asankhaya Sharma

In this paper, we propose a mathematical framework for automated bug localization. This framework can be briefly summarized as follows. A program execution can be represented as a rooted acyclic directed graph. We define an execution…

Software Engineering · Computer Science 2007-05-23 Tsuyoshi Ohta , Tadanori Mizuno

When dealing with certain mathematical problems, it is sometimes necessary to show that some function induces a metric on a certain space. When this function is not a well renowned example of a distance, one has to develop very particular…

General Mathematics · Mathematics 2023-05-23 Daniel Cao Labora , Francisco Javier Fernández , Fernando Adrián F. Tojo , Carlos Villanueva

Symbolic computation is an important approach in automated program analysis. Most state-of-the-art tools perform symbolic computation as interpreters and directly maintain symbolic data. In this paper, we show that it is feasible, and in…

Programming Languages · Computer Science 2019-07-10 Henrich Lauko , Petr Ročkai , Jiří Barnat

Probabilistic program analysis aims to quantify the probability that a given program satisfies a required property. It has many potential applications, from program understanding and debugging to computing program reliability, compiler…

Programming Languages · Computer Science 2017-09-08 Aleksandar S. Dimovski

Symbolic execution is an important software analysis technique which benefits downstream tasks such as software testing and debugging. However, several limitations hinder symbolic execution from application on real-world software. One of…

Software Engineering · Computer Science 2025-11-25 Wenhan Wang , Kaibo Liu , Zeyu Sun , An Ran Chen , Ge Li , Gang Huang , Lei Ma

Symbolic execution is a powerful technique for program analysis. However, it has many limitations in practical applicability: the path explosion problem encumbers scalability, the need for language-specific implementation, the inability to…

Programming Languages · Computer Science 2018-07-03 Shiqi Shen , Soundarya Ramesh , Shweta Shinde , Abhik Roychoudhury , Prateek Saxena

Verification proofs encode complete program behavior, yet we discard them after checking correctness. We present compiling by proving, a paradigm that transforms these proofs into optimized execution rules. By constructing All-Path…

Programming Languages · Computer Science 2025-09-29 Jianhong Zhao , Everett Hildenbrandt , Juan Conejero , Yongwang Zhao

Symbolic execution is a powerful technique for software testing, but suffers from limitations when encountering external functions, such as native methods or third-party libraries. Existing solutions often require additional context,…

Software Engineering · Computer Science 2025-09-11 Felix Mächtle , Nils Loose , Jan-Niclas Serr , Jonas Sander , Thomas Eisenbarth

The introduction of highly automated vehicles on the public road may improve safety and comfort, although its success will depend on social acceptance. This requires trajectory planning methods that provide safe, proactive, and comfortable…

Optimization and Control · Mathematics 2023-03-09 Chris van der Ploeg , Michiel Braat , Beatrice Masini , Jochem Brouwer , Jan-Pieter Paardekooper

This paper addresses the challenge of ensuring realistic traffic conditions by proposing a methodology that systematically identifies traffic simulation requirements. Using a structured approach based on sub-goals in each study phase,…

Software Engineering · Computer Science 2025-10-17 Sven Tarlowski , Lutz Eckstein

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

Theoretical foundations of compositional reasoning about heaps in imperative programming languages are investigated. We introduce a novel concept of compositional symbolic memory and its relevant properties. We utilize these formal…

Programming Languages · Computer Science 2019-06-27 Yurii Kostyukov , Konstantin Batoev , Dmitry Mordvinov , Michael Kostitsyn , Aleksandr Misonizhnik

Auto-active program verification rests on the ability to effectively the translation from annotated programs into verification conditions that are then discharged by automated theorem provers in the background. Characteristic such tools,…

Logic in Computer Science · Computer Science 2026-02-12 Gidon Ernst

Inductions and game semantics are two useful extensions to traditional logic programming. To be specific, inductions can capture a wider class of provable formulas in logic programming. Adopting game semantics can make logic programming…

Logic in Computer Science · Computer Science 2015-08-11 Keehang Kwon

Many interesting and useful symbolic computation algorithms manipulate mathematical expressions in mathematically meaningful ways. Although these algorithms are commonplace in computer algebra systems, they can be surprisingly difficult to…

Logic in Computer Science · Computer Science 2019-05-07 Jacques Carette , William M. Farmer

Symbolic execution is a powerful technique for bug finding and program testing. It is successful in finding bugs in real-world code. The core reasoning techniques use constraint solving, path exploration, and search, which are also the same…

Software Engineering · Computer Science 2020-07-20 Sahil Verma , Roland H. C. Yap

We study induction on the program structure as a proof method for bisimulation-based compiler correctness. We consider a first-order language with mutually recursive function definitions, system calls, and an environment semantics. The…

Programming Languages · Computer Science 2016-11-30 Sigurd Schneider , Gert Smolka , Sebastian Hack

The design and implementation of decision procedures for checking path feasibility in string-manipulating programs is an important problem, whose applications include symbolic execution and automated detection of cross-site scripting (XSS)…

Formal Languages and Automata Theory · Computer Science 2018-11-09 Taolue Chen , Matthew Hague , Anthony W. Lin , Philipp Rümmer , Zhilin Wu