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Despite rapid progress in claim verification, we lack a systematic understanding of what reasoning these benchmarks actually exercise. We generate structured reasoning traces for 24K claim-verification examples across 9 datasets using…

Computation and Language · Computer Science 2026-04-03 Delip Rao , Chris Callison-Burch

Chain-of-Thought reasoning has emerged as a powerful approach for solving complex mathematical and logical problems. However, it can often veer off track through incorrect or unsubstantiated inferences. Formal mathematical reasoning, which…

Machine Learning · Computer Science 2026-02-16 Maria-Florina Balcan , Avrim Blum , Zhiyuan Li , Dravyansh Sharma

The quality and correct functioning of software components embedded in electronic systems are of utmost concern especially for safety and mission-critical systems. Model-based testing and formal verification techniques can be employed to…

Formal Languages and Automata Theory · Computer Science 2019-01-08 Shahbaz Ali , Hailong Sun , Yongwang Zhao

Satisfiability solvers are increasingly playing a key role in software verification, with particularly effective use in the analysis of security vulnerabilities. String processing is a key part of many software applications, such as…

Computational Complexity · Computer Science 2009-03-17 Susmit Jha , Sanjit A. Seshia , Rhishikesh Limaye

Utilizing third party software components in the development of new systems became somewhat unfavourable approach among many organizations nowadays. This reluctance is primarily built due to the lack of support to verify the quality…

Software Engineering · Computer Science 2012-10-16 Basem Y. Alkazemi

Verification methods based on SAT, SMT, and Theorem Proving often rely on proofs of unsatisfiability as a powerful tool to extract information in order to reduce the overall effort. For example a proof may be traversed to identify a minimal…

Logic in Computer Science · Computer Science 2014-04-16 S. F. Rollini , R. Bruttomesso , N. Sharygina , A. Tsitovich

Debugging is difficult. Recent studies show that automatic bug localization techniques have limited usefulness. One of the reasons is that programmers typically have to understand why the program fails before fixing it. In this work, we aim…

Software Engineering · Computer Science 2019-11-22 Jun Sun , Long H. Pham , Lyly Tran Thi , Jingyi Wang , Xin Peng

Modern high-performance SAT solvers quickly solve large satisfiability instances that occur in practice. If the instance is satisfiable, then the SAT solver can provide a witness which can be checked independently in the form of a…

Logic in Computer Science · Computer Science 2019-09-05 Cezar-Constantin Andrici , Ştefan Ciobâcă

Formal software verification uses mathematical techniques to establish that software has certain properties. For example, that the behaviour of a software system satisfies certain logically-specified properties. Formal methods have a long…

Software Engineering · Computer Science 2019-03-12 Michael Winikoff

We study the faithfulness of an explanation system to the underlying prediction model. We show that this can be captured by two properties, consistency and sufficiency, and introduce quantitative measures of the extent to which these hold.…

Machine Learning · Computer Science 2022-02-03 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz

The need for systems to explain behavior to users has become more evident with the rise of complex technology like machine learning or self-adaptation. In general, the need for an explanation arises when the behavior of a system does not…

Software Engineering · Computer Science 2021-08-16 Mersedeh Sadeghi , Verena Klös , Andreas Vogelsang

Software correctness is ensured mathematically through formal verification, which involves the resources of generating formal requirement specifications and having an implementation that must be verified. Tools such as model-checkers and…

Software Engineering · Computer Science 2025-08-29 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

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

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

Proof scores can be regarded as outlines of the formal verification of system properties. They have been historically used by the OBJ family of specification languages. The main advantage of proof scores is that they follow the same syntax…

Logic in Computer Science · Computer Science 2025-04-22 Adrian Riesco , Kazuhiro Ogata , Masaki Nakamura , Daniel Gaina , Duong Dinh Tran , Kokichi Futatsugi

Formal verification techniques aim at formally proving the correctness of a computer program with respect to a formal specification, but the expertise and effort required for applying formal specification and verification techniques and…

Software Engineering · Computer Science 2023-01-10 João Pascoal Faria , Rui Abreu

Early stages of system development involve outlining desired features such as functionality, availability, or usability. Specifications are derived from these features that concretize vague ideas presented in natural languages. The…

Software Engineering · Computer Science 2014-10-09 Rongjie Yan , Chih-Hong Cheng , Guangquan Zhang , Yesheng Chai

This article examines two approaches to verification, one based on using a logic for expressing properties of a system, and one based on showing the system equivalent to a simpler system that obviously has whatever property is of interest.…

Logic in Computer Science · Computer Science 2007-05-23 Riccardo Pucella

A program fails. Under which circumstances does this failure occur? One single algorithm, the delta debugging algorithm, suffices to determine these failure-inducing circumstances. Delta debugging tests a program systematically and…

Software Engineering · Computer Science 2007-05-23 Holger Cleve , Andreas Zeller

In software verification, a successful automated program proof is the ultimate triumph. The road to such success is, however, paved with many failed proof attempts. The message produced by the prover when a proof fails is often obscure,…

Software Engineering · Computer Science 2022-08-29 Li Huang , Bertrand Meyer , Manuel Oriol