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On modern architectures, the performance of 32-bit operations is often at least twice as fast as the performance of 64-bit operations. By using a combination of 32-bit and 64-bit floating point arithmetic, the performance of many dense and…

Mathematical Software · Computer Science 2015-05-13 Marc Baboulin , Alfredo Buttari , Jack Dongarra , Jakub Kurzak , Julie Langou , Julien Langou , Piotr Luszczek , Stanimire Tomov

Traditional logic programming relies on symbolic computation on the CPU, which can limit performance for large-scale inference tasks. Recent advances in GPU hardware enable high-throughput matrix operations, motivating a shift toward…

Symbolic Computation · Computer Science 2025-08-20 Lun Ai

Bounded model checking (BMC) and fuzzing techniques are among the most effective methods for detecting errors and security vulnerabilities in software. However, there are still shortcomings in detecting these errors due to the inability of…

Software Engineering · Computer Science 2024-04-19 Kaled M. Alshmrany , Mohannad Aldughaim , Ahmed Bhayat , Lucas C. Cordeiro

The points-to problem is the problem of determining the possible run-time targets of pointer variables and is usually considered part of the more general aliasing problem, which consists in establishing whether and when different…

Programming Languages · Computer Science 2008-10-07 Stefano Soffia

We present an alternative approach to solve the hardware (HW) and software (SW) partitioning problem, which uses Bounded Model Checking (BMC) based on Satisfiability Modulo Theories (SMT) in conjunction with a multi-core support using Open…

Logic in Computer Science · Computer Science 2015-09-09 Alessandro Trindade , Hussama Ismail , Lucas Cordeiro

Efforts to verify Zero-Knowledge Proof circuit encodings have highlighted the challenge of proving the correctness of quantifier-free statements that make use of both bitvector and finite field operations. Existing verification workflows…

Logic in Computer Science · Computer Science 2026-05-15 Elizaveta Pertseva , Valentin Robert , Clark Barrett , James Parker

Despite recent research efforts, the vision of automatic code generation through API recommendation has not been realized. Accuracy and expressiveness challenges of API recommendation needs to be systematically addressed. We present a new…

Software Engineering · Computer Science 2021-03-19 Ya Xiao , Salman Ahmed , Wenjia Song , Xinyang Ge , Bimal Viswanath , Danfeng Yao

The article "Interpolation and SAT-Based Model Checking" (McMillan, 2003) describes a formal-verification algorithm, which was originally devised to verify safety properties of finite-state transition systems. It derives interpolants from…

Software Engineering · Computer Science 2024-03-14 Dirk Beyer , Nian-Ze Lee , Philipp Wendler

This work focuses on effectively generating diverse solutions for satisfiability modulo theories (SMT) formulas, targeting the theories of bit-vectors, arrays, and uninterpreted functions, which is a critical task in software and hardware…

Software Engineering · Computer Science 2025-11-14 Shuangyu Lyu , Chuan Luo , Ruizhi Shi , Wei Wu , Chanjuan Liu , Chunming Hu

We describe and evaluate a novel white-box fuzzer for C programs named FuSeBMC, which combines fuzzing and symbolic execution, and applies Bounded Model Checking (BMC) to find security vulnerabilities in C programs. FuSeBMC explores and…

Cryptography and Security · Computer Science 2020-12-22 Kaled M. Alshmrany , Rafael S. Menezes , Mikhail R. Gadelha , Lucas C. Cordeiro

Program analysis is on the brink of mainstream in embedded systems development. Formal verification of behavioural requirements, finding runtime errors and automated test case generation are some of the most common applications of automated…

Software Engineering · Computer Science 2014-09-23 Peter Schrammel , Daniel Kroening , Martin Brain , Ruben Martins , Tino Teige , Tom Bienmüller

Large language models (LLMs), with their billions of parameters, pose substantial challenges for deployment on edge devices, straining both memory capacity and computational resources. Block Floating Point (BFP) quantisation reduces memory…

Hardware Architecture · Computer Science 2025-04-23 Xiaomeng Han , Yuan Cheng , Jing Wang , Junyang Lu , Hui Wang , X. x. Zhang , Ning Xu , Dawei Yang , Zhe Jiang

There is increasing interest in applying verification tools to programs that have bitvector operations (eg., binaries). SMT solvers, which serve as a foundation for these tools, have thus increased support for bitvector reasoning through…

Programming Languages · Computer Science 2021-08-31 Yuandong Cyrus Liu , Chengbin Pang , Daniel Dietsch , Eric Koskinen , Ton-Chanh Le , Georgios Portokalidis , Jun Xu

Bit-vector formulas arising from hardware verification problems often contain word-level arithmetic operations. Empirical evidence shows that state-of-the-art SMT solvers are not very efficient at reasoning about bit-vector formulas with…

Logic in Computer Science · Computer Science 2016-12-13 Supratik Chakraborty , Ashutosh Gupta , Rahul Jain

In this paper we introduce the Wastewater Treatment Plant Problem, a real-world scheduling problem, and compare the performance of several tools on it. We show that, for a naive modeling, state-of-the-art SMT solvers outperform other tools…

Artificial Intelligence · Computer Science 2016-09-20 Miquel Bofill , Víctor Muñoz , Javier Murillo

The C Bounded Model Checker (CBMC) demonstrates the violation of assertions in C programs, or proves safety of the assertions under a given bound. CBMC implements a bit-precise translation of an input C program, annotated with assertions…

Software Engineering · Computer Science 2023-02-07 Daniel Kroening , Peter Schrammel , Michael Tautschnig

We present a decision procedure for the theory of fixed-sized bitvectors in the MCSAT framework. MCSAT is an alternative to CDCL(T) for SMT solving and can be seen as an extension of CDCL to domains other than the Booleans. Our procedure…

Logic in Computer Science · Computer Science 2020-04-20 Stéphane Graham-Lengrand , Dejan Jovanović , Bruno Dutertre

This work introduces StageSAT, a new approach to solving floating-point satisfiability that bridges SMT solving with numerical optimization. StageSAT reframes a floating-point formula as a series of optimization problems in three stages of…

Programming Languages · Computer Science 2026-01-09 Yuanzhuo Zhang , Zhoulai Fu , Binoy Ravindran

Floating-point accuracy is an important concern when developing numerical simulations or other compute-intensive codes. Tracking the introduction of numerical regression is often delayed until it provokes unexpected bug for the end-user. In…

Software Engineering · Computer Science 2024-07-12 Aurélien Delval , François Coppens , Eric Petit , Roman Iakymchuk , Pablo de Oliveira Castro

Errors in floating-point programs can lead to severe consequences, particularly in critical domains such as military, aerospace, and financial systems, making their repair a crucial research problem. In practice, some errors can be fixed…

Software Engineering · Computer Science 2025-10-14 Youshuai Tan , Zishuo Ding , Jinfu Chen , Weiyi Shang