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This paper aims to develop a verification method for procedural programs via a transformation into Logically Constrained Term Rewriting Systems (LCTRSs). To this end, we extend transformation methods based on integer TRSs to handle…

Logic in Computer Science · Computer Science 2025-09-01 Carsten Fuhs , Cynthia Kop , Naoki Nishida

Today's programmers face a false choice between creating software that is extensible and software that is correct. Specifically, dynamic languages permit software that is richly extensible (via dynamic code loading, dynamic object…

Programming Languages · Computer Science 2016-08-23 Matthew A. Hammer , Bor-Yuh Evan Chang , David Van Horn

Modern automotive software is highly complex and consists of millions lines of code. For safety-relevant automotive software, it is recommended to use sound static program analysis to prove the absence of runtime errors. However, the…

Software Engineering · Computer Science 2023-10-26 Jesko Hecking-Harbusch , Jochen Quante , Maximilian Schlund

We describe verification techniques for embedded memory systems using efficient memory modeling (EMM), without explicitly modeling each memory bit. We extend our previously proposed approach of EMM in Bounded Model Checking (BMC) for a…

Logic in Computer Science · Computer Science 2011-11-09 Malay K. Ganai , Aarti Gupta , Pranav Ashar

Verification is crucial for effective mathematical reasoning. We present a new temporal consistency method where verifiers iteratively refine their judgments based on the previous assessment. Unlike one-round verification or multi-model…

Computation and Language · Computer Science 2025-12-01 Jiacheng Guo , Yue Wu , Jiahao Qiu , Kaixuan Huang , Xinzhe Juan , Ling Yang , Mengdi Wang

Word-level verification of arithmetic circuits with large operands typically relies on arbitrary-precision arithmetic, which can lead to significant computational overhead as word sizes grow. In this paper, we present a hybrid algebraic…

Symbolic Computation · Computer Science 2026-05-07 Clemens Hofstadler , Daniela Kaufmann , Chen Chen

VeriFast is a leading tool for the modular formal verification of correctness properties of single-threaded and multi-threaded C and Rust programs. It verifies a program by symbolically executing each function in isolation, exploiting…

Programming Languages · Computer Science 2026-01-21 Bart Jacobs

We consider the problem of how to verify the security of probabilistic oblivious algorithms formally and systematically. Unfortunately, prior program logics fail to support a number of complexities that feature in the semantics and…

Programming Languages · Computer Science 2024-07-02 Pengbo Yan , Toby Murray , Olga Ohrimenko , Van-Thuan Pham , Robert Sison

We propose a modular method for proving termination of general logic programs (i.e., logic programs with negation). It is based on the notion of acceptable programs, but it allows us to prove termination in a truly modular way. We consider…

Logic in Computer Science · Computer Science 2025-06-18 Annalisa Bossi , Nicoletta Cocco , Sandro Etalle , Sabina Rossi

With the proliferation of communication networks and mobile devices, the privacy and security concerns on their information flow are raised. Given a critical system that may leak confidential information, the problem consists of verifying…

Logic in Computer Science · Computer Science 2019-10-15 Mona Noori-Hosseini , Bengt Lennartson , Christoforos Hadjicostis

Designing scalable concurrent objects, which can be efficiently used on multicore processors, often requires one to abandon standard specification techniques, such as linearizability, in favor of more relaxed consistency requirements.…

Logic in Computer Science · Computer Science 2016-07-22 Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee , German Andres Delbianco

Linearizability is the strongest correctness property for both shared memory and message passing systems. One of its useful features is the compositionality: a history (execution) is linearizable if and only if each object (component)…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-09 Haoxiang Lin

This paper presents incremental verification-validation, a novel approach for checking rich data structure invariants expressed as separation logic assertions. Incremental verification-validation combines static verification of separation…

Programming Languages · Computer Science 2015-11-17 Yi-Fan Tsai , Devin Coughlin , Bor-Yuh Evan Chang , Xavier Rival

Performance increase with general-purpose processors has come to a halt. We can no longer depend on Moore's Law to increase computing performance. The only way to achieve higher performance or lower energy consumption is by building…

Despite the effectiveness of large language models (LLMs) for code generation, they often output incorrect code. One reason is that model output probabilities are often not well-correlated with correctness, and reflect only the final output…

Software Engineering · Computer Science 2026-01-22 Francisco Ribeiro , Claudio Spiess , Prem Devanbu , Sarah Nadi

Energy increasingly constrains modern computer hardware, yet protecting computations and data against errors costs energy. This holds at all scales, but especially for the largest parallel computers being built and planned today. As…

Numerical Analysis · Mathematics 2012-06-08 Patrick G. Bridges , Kurt B. Ferreira , Michael A. Heroux , Mark Hoemmen

Proof-oriented programs mix computational content with proofs of program correctness. However, the human effort involved in programming and proving is still substantial, despite the use of Satisfiability Modulo Theories (SMT) solvers to…

Programming Languages · Computer Science 2024-09-06 Saikat Chakraborty , Gabriel Ebner , Siddharth Bhat , Sarah Fakhoury , Sakina Fatima , Shuvendu Lahiri , Nikhil Swamy

In deductive verification and software model checking, dealing with certain specification language constructs can be problematic when the back-end solver is not sufficiently powerful or lacks the required theories. One way to deal with this…

Software Engineering · Computer Science 2023-06-02 Jesper Amilon , Zafer Esen , Dilian Gurov , Christian Lidström , Philipp Rümmer

Reasoning methods such as chain-of-thought prompting and self-consistency have shown immense potential to improve the accuracy of large language models across various reasoning tasks. However such methods involve generation of lengthy…

Computation and Language · Computer Science 2025-10-30 Disha Sheshanarayana , Tanishka Magar

This informal contribution presents an ongoing line of research that is pursuing a new approach to the construction of sound proofs for the formal verification and control of complex stochastic models of dynamical systems, of reactive…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Alessandro Abate