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We describe mts, a generic framework for parallelizing certain types of tree search programs including reverse search, backtracking, branch and bound and satisfiability testing. It abstracts and generalizes the ideas used in parallelizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-29 David Avis , Charles Jordan

Designing quantum processors is a complex task that demands advanced verification methods to ensure their correct functionality. However, traditional methods of comprehensively verifying quantum devices, such as quantum process tomography,…

Quantum Physics · Physics 2025-08-04 Keren Li , Peng Yan , Hanru Jiang , Nengkun Yu

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. However, the reasoning underlying these solutions is often…

Bit-vectors, which are integers in a finite number of bits, are ubiquitous in software and hardware systems. In this work, we consider the satisfiability modulo theories (SMT) of bit-vectors. Unlike normal integers, the arithmetics of…

Logic in Computer Science · Computer Science 2024-02-27 Jiaxin Song , Hongfei Fu , Charles Zhang

In the digital age, ensuring the correctness, safety, and reliability of software through formal verification is paramount, particularly as software increasingly underpins critical infrastructure. Formal verification, split into theorem…

Software Engineering · Computer Science 2026-04-03 Zhiyong Chen , Jialun Cao , Jiarong Wu , Chang Xu , Shing-Chi Cheung

We propose an operationally-based deductive proof method for program equivalence. It is based on encoding the language semantics as logically constrained term rewriting systems (LCTRSs) and the two programs as terms. The main feature of our…

Logic in Computer Science · Computer Science 2020-01-28 Ştefan Ciobâcă , Dorel Lucanu , Andrei Sebastian Buruiană

Large language models (LLMs) have shown increasing competence in solving mathematical reasoning problems. However, many open-source LLMs still struggle with errors in calculation and semantic understanding during intermediate reasoning…

Computation and Language · Computer Science 2024-12-18 Vernon Y. H. Toh , Deepanway Ghosal , Soujanya Poria

Many state-of-the-art Satisfiability Modulo Theories (SMT) solvers for the theory of fixed-size bit-vectors employ an approach called bit-blasting, where a given formula is translated into a Boolean satisfiability (SAT) problem and…

Logic in Computer Science · Computer Science 2019-07-04 Alex Ozdemir , Aina Niemetz , Mathias Preiner , Yoni Zohar , Clark Barrett

The importance of information security dramatically increased and will further grow due to the shape and nature of the modern computing industry. Software is published at a continuously increasing pace. The Internet of Things and security…

Cryptography and Security · Computer Science 2022-05-10 Mattia Paccamiccio , Leonardo Mostarda

QNNVerifier is the first open-source tool for verifying implementations of neural networks that takes into account the finite word-length (i.e. quantization) of their operands. The novel support for quantization is achieved by employing…

Artificial Intelligence · Computer Science 2021-11-29 Xidan Song , Edoardo Manino , Luiz Sena , Erickson Alves , Eddie de Lima Filho , Iury Bessa , Mikel Lujan , Lucas Cordeiro

Formal verification of floating-point arithmetic remains challenging due to non-linear arithmetic behavior and the tight coupling between control and datapath logic. Existing approaches often rely on high-level C models for equivalence…

Logic in Computer Science · Computer Science 2026-03-05 Hansa Mohanty , Vaisakh Naduvodi Viswambharan , Deepak Narayan Gadde

We present a tool for verification of deterministic programs with shared mutable references against specifications such as assertions, preconditions, postconditions, and read/write effects. We implement our tool by encoding programs with…

Logic in Computer Science · Computer Science 2021-03-16 Georg Schmid , Viktor Kunčak

Software verification is a complex problem, and verification tools need significant tuning to achieve high performance. Due to this, many verifiers choose to specialize on reachability properties, or invest the time to implement known…

Programming Languages · Computer Science 2025-01-28 Dirk Beyer , Marek Jankola , Marian Lingsch-Rosenfeld , Tian Xia , Xiyue Zheng

Fault-tolerant quantum computation using lattice surgery can be abstracted as operations on graphs, wherein each logical qubit corresponds to a vertex of the graph, and multi-qubit measurements are accomplished by connecting the vertices…

Quantum Physics · Physics 2025-08-26 Ryo Wakizaka , Yasunari Suzuki , Atsushi Igarashi

We lay out novel foundations for the computer-aided verification of guaranteed bounds on expected outcomes of imperative probabilistic programs featuring (i) general loops, (ii) continuous distributions, and (iii) conditioning. To handle…

Logic in Computer Science · Computer Science 2025-02-27 Kevin Batz , Joost-Pieter Katoen , Francesca Randone , Tobias Winkler

Satisfiability Modulo Theories (SMT) solvers incorporate decision procedures for theories of data types that commonly occur in software. This makes them important tools for automating verification problems. A limitation frequently…

Logic in Computer Science · Computer Science 2015-08-28 Kshitij Bansal , Andrew Reynolds , Tim King , Clark Barrett , Thomas Wies

Proving program termination is key to guaranteeing absence of undesirable behaviour, such as hanging programs and even security vulnerabilities such as denial-of-service attacks. To make termination checks scale to large systems,…

Software Engineering · Computer Science 2015-05-19 Hong-Yi Chen , Cristina David , Daniel Kroening , Peter Schrammel , Björn Wachter

Recently, large language models (LLMs) have demonstrated excellent performance, inspiring researchers to explore their use in automating register transfer level (RTL) code generation and improving hardware design efficiency. However, the…

Computation and Language · Computer Science 2025-04-24 Peiyang Wu , Nan Guo , Xiao Xiao , Wenming Li , Xiaochun Ye , Dongrui Fan

Verification of microkernels, device drivers, and crypto routines requires analyses at the binary level. In order to automate these analyses, in the last years several binary analysis platforms have been introduced. These platforms share a…

Programming Languages · Computer Science 2019-01-23 Andreas Lindner , Roberto Guanciale , Roberto Metere

The complexity of software in embedded systems has increased significantly over the last years so that software verification now plays an important role in ensuring the overall product quality. In this context, SAT-based bounded model…

Software Engineering · Computer Science 2009-11-20 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva