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Large Reasoning Models (LRMs) achieve strong performance by generating long reasoning traces with reflection. Through a large-scale empirical analysis, we find that a substantial fraction of reflective steps consist of self-verification…

Computation and Language · Computer Science 2026-02-04 Quanyu Long , Kai Jie Jiang , Jianda Chen , Xu Guo , Leilei Gan , Wenya Wang

Modern languages are equipped with static type checking/inference that helps programmers to keep a clean programming style and to reduce errors. However, the ever-growing size of programs and their continuous evolution require building fast…

Programming Languages · Computer Science 2018-11-28 Matteo Busi , Pierpaolo Degano , Letterio Galletta

We consider the problem of making expressive static analyzers interactive. Formal static analysis is seeing increasingly widespread adoption as a tool for verification and bug-finding, but even with powerful cloud infrastructure it can take…

Programming Languages · Computer Science 2021-04-08 Benno Stein , Bor-Yuh Evan Chang , Manu Sridharan

Explicit theory axioms are added by a saturation-based theorem prover as one of the techniques for supporting theory reasoning. While simple and effective, adding theory axioms can also pollute the search space with many irrelevant…

Logic in Computer Science · Computer Science 2020-04-02 Bernhard Gleiss , Martin Suda

The field of geometric automated theorem provers has a long and rich history, from the early AI approaches of the 1960s, synthetic provers, to today algebraic and synthetic provers. The geometry automated deduction area differs from other…

Logic in Computer Science · Computer Science 2019-04-02 Nuno Baeta , Pedro Quaresma

In the present paper, we study the match test for extended regular expressions. We approach this NP-complete problem by introducing a novel variant of two-way multihead automata, which reveals that the complexity of the match test is…

Formal Languages and Automata Theory · Computer Science 2017-07-14 Daniel Reidenbach , Markus L. Schmid

This paper is an experimental exploration of the relationship between the runtimes of Turing machines and the length of proofs in formal axiomatic systems. We compare the number of halting Turing machines of a given size to the number of…

Computational Complexity · Computer Science 2012-01-05 Hector Zenil

In recent years, program verifiers and interactive theorem provers have become more powerful and more suitable for verifying large programs or proofs. This has demonstrated the need for improving the user experience of these tools to…

Programming Languages · Computer Science 2014-04-29 K. Rustan M. Leino , Valentin Wüstholz

This paper describes how to adapt a static code analyzer to help novice programmers. Current analyzers have been built to give feedback to experienced programmers who build new applications or systems. The type of feedback and the type of…

Software Engineering · Computer Science 2017-10-03 Tim Blok , Ansgar Fehnker

E prover is a state-of-the-art theorem prover for first-order logic with equality. E prover is built around a saturation loop, where new clauses are derived by inference rules from previously derived clauses. Selection of clauses for the…

Logic in Computer Science · Computer Science 2016-06-14 Jan Jakubův , Josef Urban

Theorem provers are important tools for people working in formal verification. There are a myriad of interactive systems available today, with varying features and approaches motivating their development. These design choices impact their…

Logic in Computer Science · Computer Science 2025-09-19 Harrison Oates , Hyeonggeun Yun , Nikhila Gurusinghe

Recently, researchers have been working toward the development of practical general-purpose protocols for verifiable computation. These protocols enable a computationally weak verifier to offload computations to a powerful but untrusted…

Cryptography and Security · Computer Science 2017-02-09 Justin Thaler

In this paper we consider the problem of certified static checking of module-like constructs of programming languages. We argue that there are algorithms and properties related to modules that can be defined and proven in an abstract way.…

Programming Languages · Computer Science 2017-06-20 Julia Belyakova

We describe a novel approach for adapting an existing software model checker to perform precise runtime verification. The software under test is allowed to communicate with the wider environment (including the file system and network). The…

Software Engineering · Computer Science 2018-06-01 Katarína Kejstová , Petr Ročkai , Jiří Barnat

Due to increasingly complex software design and rapid iterative development, code defects and security vulnerabilities are prevalent in modern software. In response, programmers rely on static analysis tools to regularly scan their…

Software Engineering · Computer Science 2022-03-21 Anant Kharkar , Roshanak Zilouchian Moghaddam , Matthew Jin , Xiaoyu Liu , Xin Shi , Colin Clement , Neel Sundaresan

In parallel to the ever-growing usage of mechanized proofs in diverse areas of mathematics and computer science, proof assistants are used more and more for education. This paper surveys previous work related to the use of proof assistants…

Logic in Computer Science · Computer Science 2025-05-21 Frédéric Tran Minh , Laure Gonnord , Julien Narboux

Compilers are a prime target for formal verification, since compiler bugs invalidate higher-level correctness guarantees, but compiler changes may become more labor-intensive to implement, if they must come with proof patches. One appealing…

Programming Languages · Computer Science 2025-03-12 Jason Gross , Andres Erbsen , Jade Philipoom , Rajashree Agrawal , Adam Chlipala

A successful automated program proof is, in software verification, the ultimate triumph. In practice, however, the road to such success is paved with many failed proof attempts. Unlike a failed test, which provides concrete evidence of an…

Software Engineering · Computer Science 2023-04-25 Li Huang , Bertrand Meyer

Synthetic verification techniques such as generating test cases and reward modelling are common ways to enhance the coding capabilities of large language models (LLM) beyond predefined tests. Additionally, code verification has recently…

Artificial Intelligence · Computer Science 2025-07-31 Aleksander Ficek , Somshubra Majumdar , Vahid Noroozi , Boris Ginsburg

Static analysis is the analysis of a program without executing it, usually carried out by an automated tool. Symbolic execution is a popular static analysis technique used both in program verification and in bug detection software. It works…

Software Engineering · Computer Science 2024-08-06 Gabor Horvath , Reka Kovacs , Zoltan Porkolab