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In the article \The State of SAT", the authors asked whether a procedure dramatically different from DPLL can be found for handling unsatisfiable instances. This study proposes a new linear programming approach to address this issue…

Computational Complexity · Computer Science 2018-08-20 Chengling Fang , Jiang Liu

All solutions SAT (AllSAT for short) is a variant of propositional satisfiability problem. Despite its significance, AllSAT has been relatively unexplored compared to other variants. We thus survey and discuss major techniques of AllSAT…

Data Structures and Algorithms · Computer Science 2016-11-10 Takahisa Toda , Takehide Soh

Smart contracts manage a large number of digital assets nowadays. Bugs in these contracts have led to significant financial loss. Verifying the correctness of smart contracts is, therefore, an important task. This paper presents an…

Software Engineering · Computer Science 2023-08-03 Haoxian Chen , Lan Lu , Brendan Massey , Yuepeng Wang , Boon Thau Loo

A MATLAB toolbox is presented, with the goal of checking occurrences of design errors typically found in fixed-point digital systems, considering finite word-length effects. In particular, the present toolbox works as a front-end to a…

Systems and Control · Computer Science 2017-02-21 Lennon Chaves , Iury Bessa , Lucas Cordeiro , Daniel Kroening , Eddie Filho

Deep neural networks (DNNs) are becoming a key component in diverse systems across the board. However, despite their success, they often err miserably; and this has triggered significant interest in formally verifying them. Unfortunately,…

Logic in Computer Science · Computer Science 2023-05-31 Raya Elsaleh , Guy Katz

We develop a declarative DSL - \cf - that can be used to specify Abstract Interpretation-based DNN certifiers. In \cf, programmers can easily define various existing and new abstract domains and transformers, all within just a few 10s of…

Programming Languages · Computer Science 2024-10-18 Avaljot Singh , Yasmin Sarita , Charith Mendis , Gagandeep Singh

Constrained-random simulation is the predominant approach used in the industry for functional verification of complex digital designs. The effectiveness of this approach depends on two key factors: the quality of constraints used to…

Logic in Computer Science · Computer Science 2014-03-26 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

Automated program verifiers are typically implemented using an intermediate verification language (IVL), such as Boogie or Why3. A verifier front-end translates the input program and specification into an IVL program, while the back-end…

Programming Languages · Computer Science 2024-05-13 Gaurav Parthasarathy , Thibault Dardinier , Benjamin Bonneau , Peter Müller , Alexander J. Summers

Synthesis of models and strategies is a very important problem in software engineering. The main element here is checking the satisfiability of formulae expressing the specification of a system to be implemented. This paper puts forward a…

Logic in Computer Science · Computer Science 2020-02-11 Magdalena Kacprzak , Artur Niewiadomski , Wojciech Penczek

We explore the possibility of accelerating the formal verification of classical programs with a quantum computer. A common source of security flaws stems from the existence of common programming errors like use after free, null-pointer…

Quantum Physics · Physics 2026-05-06 Sebastian Issel , Kilian Tscharke , Pascal Debus

The formal verification of traditional software has been revolutionised by verification-orientated languages such as Dafny and F* which enable developers to write high-level specifications that are automatically compiled down to low-level…

Logic in Computer Science · Computer Science 2026-02-13 Matthew L. Daggitt , Wen Kokke , Robert Atkey

Cloud computing platforms have created the possibility for computationally limited users to delegate demanding tasks to strong but untrusted servers. Verifiable computing algorithms help build trust in such interactions by enabling the…

Computational Complexity · Computer Science 2019-07-10 Saeid Sahraei , Mohammad Ali Maddah-Ali , Salman Avestimehr

This paper presents the verification of control systems implemented in Simulink. The goal is to ensure that high-level requirements on control performance, like stability, are satisfied by the Simulink diagram. A two stage process is…

Systems and Control · Computer Science 2021-04-13 Dejanira Araiza-Illan , Kerstin Eder , Arthur Richards

Formally verified compilers and formally verified static analyzers are a solution to the problem that certain industries face when they have to demonstrate to authorities that the object code they run truly corresponds to its source code…

Logic in Computer Science · Computer Science 2024-07-12 David Monniaux

The use of large language models for code generation is a rapidly growing trend in software development. However, without effective methods for ensuring the correctness of generated code, this trend could lead to undesirable outcomes. In…

Artificial Intelligence · Computer Science 2024-11-19 Chuyue Sun , Ying Sheng , Oded Padon , Clark Barrett

The robustness and correctness of SAT solvers are receiving more and more attention. In recent SAT competitions, a proof of unsatisfiability emitted by SAT solvers must be checked. So far, no proof checker has been efficient for every case.…

Software Engineering · Computer Science 2018-06-26 Jingchao Chen

We provide full certifications of two versions of merge sort of arrays in the verification-aware programming language Dafny. We start by considering schemas for applying the divide-and-conquer or partition method of solution to…

Logic in Computer Science · Computer Science 2025-09-03 Juan Pablo Carbonell , José E. Solsona , Nora Szasz , Álvaro Tasistro

Training models through self-play alone (without any human data) has been a longstanding goal in AI, but its effectiveness for training large language models remains unclear, particularly in code generation where rewards based on unit tests…

Artificial Intelligence · Computer Science 2025-12-23 Alex Wilf , Pranjal Aggarwal , Bryan Parno , Daniel Fried , Louis-Philippe Morency , Paul Pu Liang , Sean Welleck

This paper introduces a novel technique to decide the satisfiability of formulae written in the language of Linear Temporal Logic with Both future and past operators and atomic formulae belonging to constraint system D (CLTLB(D) for short).…

Logic in Computer Science · Computer Science 2014-02-12 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren
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