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Timed automata (TA) have been widely adopted as a suitable formalism to model time-critical systems. Furthermore, contemporary model-checking tools allow the designer to check whether a TA complies with a system specification. However, the…

Logic in Computer Science · Computer Science 2023-06-22 Jaroslav Bendík , Ahmet Sencan , Ebru Aydin Gol , Ivana Černá

Recent progress in formal theorem proving has benefited from large-scale proof generation and verifier-aware training, but agentic proving is rarely integrated into prover training, appearing only at inference time. We present OProver, a…

Computation and Language · Computer Science 2026-05-19 David Ma , Kaijing Ma , Shawn Guo , Yunfeng Shi , Enduo Zhao , Jiajun Shi , Zhaoxiang Zhang , Gavin Cheung , Jiaheng Liu , Zili Wang

Modern saturation-based Automated Theorem Provers typically implement the superposition calculus for reasoning about first-order logic with or without equality. Practical implementations of this calculus use a variety of literal selections…

Artificial Intelligence · Computer Science 2016-04-28 Giles Reger , Martin Suda , Andrei Voronkov , Krystof Hoder

One important approach to software verification is interactive theorem proving. However, writing formal proofs often requires substantial human effort, making proof automation highly important. Traditionally, proof automation has relied on…

Logic in Computer Science · Computer Science 2026-03-05 Jian Fang , Yican Sun , Yingfei Xiong

The method presented extends a given regression neural network to make its performance improve. The modification affects the learning procedure only, hence the extension may be easily omitted during evaluation without any change in…

Machine Learning · Computer Science 2016-12-07 Konrad Zolna

Concolic testing is a popular dynamic validation technique that can be used for both model checking and automatic test case generation. We have recently introduced concolic testing in the context of logic programming. In contrast to…

Logic in Computer Science · Computer Science 2016-08-11 Fred Mesnard , Etienne Payet , German Vidal

A key challenge in automated formal reasoning is the intractable search space, which grows exponentially with the depth of the proof. This branching is caused by the large number of candidate proof tactics which can be applied to a given…

Artificial Intelligence · Computer Science 2025-10-29 Sean Lamont , Christian Walder , Amir Dezfouli , Paul Montague , Michael Norrish

A program verifier is a tool that can be used to verify that a "contract" for a program holds - i.e. given a precondition the program guarantees that a given postcondition holds - by only working at the level of the annotated program. An…

Software Engineering · Computer Science 2014-06-12 Gudmund Grov

We present a prototype of an integrated reasoning environment for educational purposes. The presented tool is a fragment of a proof assistant and automated theorem prover. We describe the existing and planned functionality of the theorem…

Human-Computer Interaction · Computer Science 2018-03-06 Mario Frank , Christoph Kreitz

Comparative evaluation of forecasts of statistical functionals relies on comparing averaged losses of competing forecasts after the realization of the quantity $Y$, on which the functional is based, has been observed. Motivated by…

Methodology · Statistics 2022-11-28 Hajo Holzmann , Bernhard Klar

Gradual verification, which supports explicitly partial specifications and verifies them with a combination of static and dynamic checks, makes verification more incremental and provides earlier feedback to developers. While an abstract,…

Programming Languages · Computer Science 2023-11-14 Conrad Zimmerman , Jenna DiVincenzo , Jonathan Aldrich

This paper presents incremental verification-validation, a novel approach for checking rich data structure invariants expressed as separation logic assertions. Incremental verification-validation combines static verification of separation…

Programming Languages · Computer Science 2015-11-17 Yi-Fan Tsai , Devin Coughlin , Bor-Yuh Evan Chang , Xavier Rival

Static code analysis tools are designed to aid software developers to build better quality software in less time, by detecting defects early in the software development life cycle. Even the most experienced developer regularly introduces…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Manuel Arenaz , Xavier Martorell

Program verification is a resource-hungry task. This paper looks at the problem of parallelizing SMT-based automated program verification, specifically bounded model-checking, so that it can be distributed and executed on a cluster of…

Programming Languages · Computer Science 2020-05-19 Prantik Chatterjee , Subhajit Roy , Bui Phi Diep , Akash Lal

This comprehensive survey examines Lean 4, a state-of-the-art interactive theorem prover and functional programming language. We analyze its architectural design, type system, metaprogramming capabilities, and practical applications in…

Logic in Computer Science · Computer Science 2025-02-03 Xichen Tang

Static analyzers are tool sets which are proving to be indispensable to modern programmers. These enable the programmers to detect possible errors and security defects present in the current code base within the implementation phase of the…

Software Engineering · Computer Science 2019-05-14 Eljose E Sajan , Yunpeng Zhang , Liang-Chieh Cheng

Static type systems are usually not sufficient to express all requirements on function calls. Hence, contracts with pre- and postconditions can be used to express more complex constraints on operations. Contracts can be checked at run time…

Programming Languages · Computer Science 2017-09-15 Michael Hanus

Large Language Models (LLMs) are rapidly transforming software engineering, with coding assistants embedded in an IDE becoming increasingly prevalent. While research has focused on improving the tools and understanding developer…

Static analysis remains one of the most popular approaches for detecting and correcting poor or vulnerable program code. It involves the examination of code listings, test results, or other documentation to identify errors, violations of…

Artificial Intelligence · Computer Science 2021-08-27 Fitzroy D. Nembhard , Marco M. Carvalho

Achieving fault-tolerance will require a strong relationship between the hardware and the protocols used. Different approaches will therefore naturally have tailored proof-of-principle experiments to benchmark progress. Nevertheless,…

Quantum Physics · Physics 2024-05-28 Milan Liepelt , Tommaso Peduzzi , James R. Wootton