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In the field of Business Process Management formal models for the control flow of business processes have been designed since more than 15 years. Which methods are best suited to verify the bulk of these models? The first step is to select…

Logic in Computer Science · Computer Science 2011-05-04 Christoph Schneider , Joachim Wehler

Fundamentally, every static program analyser searches for a proof through a combination of heuristics providing candidate solutions and a candidate validation technique. Essentially, the heuristic reduces a second-order problem to a…

Logic in Computer Science · Computer Science 2015-01-20 Cristina David , Daniel Kroening , Matt Lewis

Satisfiability-based automated reasoning is an approach that is being successfully used in software engineering to validate complex software, including for safety-critical systems. Such reasoning underlies many validation activities, from…

Software Engineering · Computer Science 2024-09-17 Nick Feng , Lina Marsso , Marsha Chechik

Even the fastest SMT solvers have performance problems with regular expressions from real programs. Because these performance issues often arise from the problem representation (e.g. non-deterministic finite automata get determinized and…

Logic in Computer Science · Computer Science 2017-08-31 Arlen Cox , Jason Leasure

Verifying specifications for large-scale modern engineering systems can be a time-consuming task, as most formal verification methods are limited to systems of modest size. Recently, contract-based design and verification has been proposed…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Miel Sharf , Bart Besselink , Karl Henrik Johansson

The overall goal of this paper is to investigate the theoretical foundations of algorithmic verification techniques for first order linear logic specifications. The fragment of linear logic we consider in this paper is based on the linear…

Programming Languages · Computer Science 2007-05-23 M. Bozzano , G. Delzanno , M. Martelli

This paper presents a quantitative program verification infrastructure for discrete probabilistic programs. Our infrastructure can be viewed as the probabilistic analogue of Boogie: its central components are an intermediate verification…

Programming Languages · Computer Science 2023-11-16 Philipp Schröer , Kevin Batz , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

We introduce a high-level language with Python-like syntax for string-to-string, polyregular, first-order definable transductions. This language features function calls, boolean variables, and nested for-loops. We devise and implement a…

Formal Languages and Automata Theory · Computer Science 2025-05-16 Aliaume Lopez , Rafał Stefański

A number of SAT-based analysis concepts and tools for software product lines exist, that extract code dependencies in propositional logic from the source code assets of the product line. On these extracted conditions, SAT-solvers are used…

Software Engineering · Computer Science 2021-10-13 Adam Krafczyk , Sascha El-Sharkawy , Klaus Schmid

Current algorithms for bounded model checking use SAT methods for checking satisfiability of Boolean formulae. These methods suffer from the potential memory explosion problem. Methods based on the validity of Quantified Boolean Formulae…

Logic in Computer Science · Computer Science 2011-11-09 Jacob Katz , Ziyad Hanna , Nachum Dershowitz

Bounded verification has proved useful to detect bugs and to increase confidence in the correctness of a program. In contrast to unbounded verification, reasoning about calls via (bounded) inlining and about loops via (bounded) unrolling…

Logic in Computer Science · Computer Science 2023-03-14 Thibault Dardinier , Gaurav Parthasarathy , Peter Müller

Satisfiability checking for Linear Temporal Logic (LTL) is a fundamental step in checking for possible errors in LTL assertions. Extant LTL satisfiability checkers use a variety of different search procedures. With the sole exception of LTL…

Logic in Computer Science · Computer Science 2014-04-30 Jianwen Li , Geguang Pu , Lijun Zhang , Moshe Y. Vardi , Jifeng He

A program verifier produces reliable results only if both the logic used to justify the program's correctness is sound, and the implementation of the program verifier is itself correct. Whereas it is common to formally prove soundness of…

Programming Languages · Computer Science 2021-06-01 Gaurav Parthasarathy , Peter Müller , Alexander J. Summers

The effectiveness of concolic testing deteriorates as the size of programs increases. A promising way out is to test programs modularly, e.g., on a per function or class basis. Alas, this idea hits a roadblock in modern programming…

Programming Languages · Computer Science 2020-06-23 Shu-Hung You , Robert Bruce Findler , Christos Dimoulas

First-order logic has been established as an important tool for modeling and verifying intricate systems such as distributed protocols and concurrent systems. These systems are parametric in the number of nodes in the network or the number…

Logic in Computer Science · Computer Science 2024-08-21 Raz Lotan , Eden Frenkel , Sharon Shoham

We present a new approach to automated reasoning about higher-order programs by endowing symbolic execution with a notion of higher-order, symbolic values. Our approach is sound and relatively complete with respect to a first-order solver…

Programming Languages · Computer Science 2016-03-22 Phuc C. Nguyen , Sam Tobin-Hochstadt , David Van Horn

Much effort is spent everyday by programmers in trying to reduce long, failing execution traces to the cause of the error. We present a new algorithm for error cause localization based on a reduction to the maximal satisfiability problem…

Programming Languages · Computer Science 2011-03-10 Manu Jose , Rupak Majumdar

Software contracts allow programmers to state rich program properties using the full expressive power of an object language. However, since they are enforced at runtime, monitoring contracts imposes significant overhead and delays error…

Programming Languages · Computer Science 2017-11-13 Phuc C. Nguyen , Thomas Gilray , Sam Tobin-Hochstadt , David Van Horn

Completion is a well-known transformation that captures the stable model semantics of logic programs by turning a program into a set of first-order definitions. Stable models are models of the completion, but not all models of the…

Logic in Computer Science · Computer Science 2025-04-22 Jan Heuer

We present exact mixed-integer linear programming formulations for verifying the performance of first-order methods for parametric quadratic optimization. We formulate the verification problem as a mixed-integer linear program where the…

Optimization and Control · Mathematics 2026-05-29 Vinit Ranjan , Jisun Park , Stefano Gualandi , Andrea Lodi , Bartolomeo Stellato
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