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We propose an automated verification technique for hypersafety properties, which express sets of valid interrelations between multiple finite runs of a program. The key observation is that constructing a proof for a small representative set…

Programming Languages · Computer Science 2019-05-23 Azadeh Farzan , Anthony Vandikas

Among formal methods, the deductive verification approach allows establishing the strongest possible formal guarantees on critical software. The downside is the cost in terms of human effort required to design adequate formal specifications…

Software Engineering · Computer Science 2018-11-28 Sylvain Dailler , Claude Marché , Yannick Moy

We present StepFun-Prover Preview, a large language model designed for formal theorem proving through tool-integrated reasoning. Using a reinforcement learning pipeline that incorporates tool-based interactions, StepFun-Prover can achieve…

Artificial Intelligence · Computer Science 2025-08-14 Shijie Shang , Ruosi Wan , Yue Peng , Yutong Wu , Xiong-hui Chen , Jie Yan , Xiangyu Zhang

The proofs first generated by automated theorem provers are far from optimal by any measure of simplicity. In this paper I describe a technique for simplifying automated proofs. Hopefully this discussion will stimulate interest in the…

Logic in Computer Science · Computer Science 2021-01-19 Michael Kinyon

The technology of formal software verification has made spectacular advances, but how much does it actually benefit the development of practical software? Considerable disagreement remains about the practicality of building systems with…

Software Engineering · Computer Science 2026-01-21 Li Huang , Sophie Ebersold , Alexander Kogtenkov , Bertrand Meyer , Yinling Liu

This paper is a tutorial for newcomers to the field of automated verification tools, though we assume the reader to be relatively familiar with Hoare-style verification. In this paper, besides introducing the most basic features of the…

Software Engineering · Computer Science 2017-01-18 Paqui Lucio

The automation offered by modern program proof tools goes hand in hand with the capability to interact with the tool when the verification fails. The SPARK proof tool tries to help the user by providing the right information, so that the…

Logic in Computer Science · Computer Science 2021-08-09 Yannick Moy

Automatic program repair usually relies heavily on test cases for both bug identification and fix validation. The issue is that writing test cases is tedious, running them takes much time, and validating a fix through tests does not…

Software Engineering · Computer Science 2024-05-10 Li Huang , Bertrand Meyer , Ilgiz Mustafin , Manuel Oriol

Automated software verification is a very active field of research which has made enormous progress both in theoretical and practical aspects. Recently, an important amount of research effort has been put into applying these techniques on…

Programming Languages · Computer Science 2010-11-16 Guido de Caso , Diego Garbervetsky , Daniel Gorín

Most businesses rely on a significant stack of software to perform their daily operations. This software is business-critical as defects in this software have major impacts on revenue and customer satisfaction. The primary means for…

Software Engineering · Computer Science 2020-11-03 Peter Schrammel

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

The software development lifecycle depends heavily on the testing process, which is an essential part of finding issues and reviewing the quality of software. Software testing can be done in two ways: manually and automatically. With an…

Software Engineering · Computer Science 2024-05-06 Hussein Mohammed Ali , Mahmood Yashar Hamza , Tarik Ahmed Rashid

Most software verification tools can be classified into one of a number of established families, each of which has their own focus and strengths. For example, concrete counterexample generation in model checking, invariant inference in…

Logic in Computer Science · Computer Science 2015-06-30 Martin Brain , Saurabh Joshi , Daniel Kroening , Peter Schrammel

Conventional vehicles are certified through classical approaches, where different physical certification tests are set up on test tracks to assess required safety levels. These approaches are well suited for vehicles with limited complexity…

A step-by-step presentation of the code for a small theorem prover introduces theorem-proving techniques. The programming language used is Standard ML. The prover operates on a sequent calculus formulation of first-order logic, which is…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson

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

Software measurement is an essential management tool to develop robust and maintainable software systems. Software metrics can be used to control the inherent complexities in software design. To guarantee that the components of the software…

Software Engineering · Computer Science 2022-01-26 Mamdouh Alenezi

These notes are a companion to [1] which describe - the variable conditions that Smallfoot checks, - the analysis used to check them, - the algorithm used to compute a set of verification conditions corresponding to an annotated program,…

Logic in Computer Science · Computer Science 2012-04-24 Josh Berdine , Cristiano Calcagno , Peter W. O'Hearn

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 proficiently prevent software defects in autonomous vehicles, discover and correct defects if they are encountered, and create a higher level of assurance in the software product development phase. It also…

Software Engineering · Computer Science 2024-11-22 Sneha Sudhir Shetiya , Vikas Vyas , Shreyas Renukuntla