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Automated theorem provers are now commonly used within interactive theorem provers to discharge an increasingly large number of proof obligations. To maintain the trustworthiness of a proof, the automatically found proof must be verified…

Logic in Computer Science · Computer Science 2019-08-27 Mathias Fleury , Hans-Jörg Schurr

Virtual integration techniques focus on building architectural models of systems that can be analyzed early in the design cycle to try to lower cost, reduce risk, and improve quality of complex embedded systems. Given appropriate…

Software Engineering · Computer Science 2015-11-18 Andreas Katis , Andrew Gacek , Michael W. Whalen

The software development process for embedded systems is getting faster and faster, which generally incurs an increase in the associated complexity. As a consequence, consumer electronics companies usually invest a lot of resources in fast…

Logic in Computer Science · Computer Science 2015-09-08 Felipe R. M. Sousa , Lucas C. Cordeiro , Eddie B. de Lima Filho

Universal quantifiers occur frequently in proof obligations produced by program verifiers, for instance, to axiomatize uninterpreted functions and to express properties of arrays. SMT-based verifiers typically reason about them via…

Programming Languages · Computer Science 2021-12-15 Alexandra Bugariu , Arshavir Ter-Gabrielyan , Peter Müller

There are several paradigms for integrating interactive and automated theorem provers, combining the convenience of powerful automation with strong soundness guarantees. We introduce a new approach for reconstructing proofs found by SMT…

Logic in Computer Science · Computer Science 2026-01-22 Joshua Clune , Haniel Barbosa , Jeremy Avigad

The complexity of software in embedded systems has increased significantly over the last years so that software verification now plays an important role in ensuring the overall product quality. In this context, SAT-based bounded model…

Software Engineering · Computer Science 2009-11-20 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva

The combination of uninterpreted function symbols and universal quantification occurs in many applications of automated reasoning, for example, due to their ability to reason about arrays. Yet the satisfiability of such formulas is, in…

Logic in Computer Science · Computer Science 2026-02-19 Stefan Ratschan , Anggha Nugraha , Mikoláš Janota , Marek Dančo

The Message Passing Interface specification (MPI) defines a portable message-passing API used to program parallel computers. MPI programs manifest a number of challenges on what concerns correctness: sent and expected values in…

Programming Languages · Computer Science 2015-08-21 César Santos , Francisco Martins , Vasco Thudichum Vasconcelos

Program synthesis is the task of automatically constructing a program conforming to a given specification. In this paper we focus on synthesis of single-invocation recursion-free functions conforming to a specification given as a logical…

Logic in Computer Science · Computer Science 2025-08-19 Petra Hozzová , Nikolaj Bjørner

We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisfiability modulo theory (SMT), using a mixture of a SAT solver…

Logic in Computer Science · Computer Science 2009-04-23 David Monniaux

Satisfiability Modulo Theories (SMT) refers to the problem of deciding the satisfiability of a formula with respect to certain background first order theories. In this paper, we focus on Satisfiablity Modulo Integer Arithmetic, which is…

Logic in Computer Science · Computer Science 2023-05-18 Shaowei Cai , Bohan Li , Xindi Zhang

This work focuses on effectively generating diverse solutions for satisfiability modulo theories (SMT) formulas, targeting the theories of bit-vectors, arrays, and uninterpreted functions, which is a critical task in software and hardware…

Software Engineering · Computer Science 2025-11-14 Shuangyu Lyu , Chuan Luo , Ruizhi Shi , Wei Wu , Chanjuan Liu , Chunming Hu

For many users of Satisfiability Modulo Theories (SMT) solvers, the solver's performance is the main bottleneck in their application. One promising approach for improving performance is to leverage the increasing availability of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Amalee Wilson , Andres Noetzli , Andrew Reynolds , Byron Cook , Cesare Tinelli , Clark Barrett

Test or prove? These two approaches to software verification have long been presented as opposites. One is dynamic, the other static: a test executes the program, a proof only analyzes the program text. A different perspective is emerging,…

Software Engineering · Computer Science 2026-02-10 Li Huang , Bertrand Meyer , Manuel Oriol

To guarantee that machine learning models yield outputs that are not only accurate, but also robust, recent works propose formally verifying robustness properties of machine learning models. To be applicable to realistic safety-critical…

Machine Learning · Computer Science 2021-05-07 John Törnblom , Simin Nadjm-Tehrani

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

Writing accurate numerical software is hard because of many sources of unavoidable uncertainties, including finite numerical precision of implementations. We present a programming model where the user writes a program in a real-valued…

Programming Languages · Computer Science 2013-09-11 Eva Darulova , Viktor Kuncak

Legal properties involve reasoning about data values and time. Metric first-order temporal logic (MFOTL) provides a rich formalism for specifying legal properties. While MFOTL has been successfully used for verifying legal properties over…

Software Engineering · Computer Science 2023-05-30 Nick Feng , Lina Marsso , Mehrdad Sabetzadeh , Marsha Chechik

The Test Template Framework (TTF) is a model-based testing method for the Z notation. In the TTF, test cases are generated from test specifications, which are predicates written in Z. In turn, the Z notation is based on first-order logic…

Software Engineering · Computer Science 2012-02-29 Maximiliano Cristiá , Claudia Frydman

We present an SMT-based symbolic model checking algorithm for safety verification of recursive programs. The algorithm is modular and analyzes procedures individually. Unlike other SMT-based approaches, it maintains both "over-" and…

Logic in Computer Science · Computer Science 2014-05-27 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki