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Linear Temporal Logic (LTL) is the de-facto standard temporal logic for system specification, whose foundational properties have been studied for over five decades. Safety and cosafety properties define notable fragments of LTL, where a…

Logic in Computer Science · Computer Science 2025-03-14 Alessandro Artale , Luca Geatti , Nicola Gigante , Andrea Mazzullo , Angelo Montanari

MITL is a temporal logic that facilitates the verification of real-time systems by expressing the critical timing constraints placed on these systems. MITL specifications can be checked against system models expressed as networks of timed…

Logic in Computer Science · Computer Science 2025-05-12 Bernd Finkbeiner , Felix Jahn , Julian Siber

Expressing program correctness often requires relating program data throughout (different branches of) an execution. Such properties can be represented using CTL+FO, a logic that allows mixing temporal and first-order quantification.…

Logic in Computer Science · Computer Science 2014-06-24 Tewodros A. Beyene , Marc Brockschmidt , Andrey Rybalchenko

HyperLTL is an extension of linear-time temporal logic for the specification of hyperproperties, i.e., temporal properties that relate multiple computation traces. HyperLTL can express information flow policies as well as properties like…

Logic in Computer Science · Computer Science 2020-05-18 Norine Coenen , Bernd Finkbeiner , César Sánchez , Leander Tentrup

Formal Methods are mathematically-based techniques for software design and engineering, which enable the unambiguous description of and reasoning about a system's behaviour. Autonomous systems use software to make decisions without human…

Software Engineering · Computer Science 2021-07-29 Matt Luckcuck

HyperLTL, the extension of Linear Temporal Logic by trace quantifiers, is a uniform framework for expressing information flow policies by relating multiple traces of a security-critical system. HyperLTL has been successfully applied to…

Logic in Computer Science · Computer Science 2019-12-17 Corto Mascle , Martin Zimmermann

Recent advances have shown that scaling test-time computation enables large language models (LLMs) to solve increasingly complex problems across diverse domains. One effective paradigm for test-time scaling (TTS) involves LLM generators…

Computation and Language · Computer Science 2026-04-15 Yefan Zhou , Austin Xu , Yilun Zhou , Janvijay Singh , Jiang Gui , Shafiq Joty

Formal verification offers a path to provably correct software, but writing verified code remains expensive enough that the technique is rarely used in production. Recent large language models can accelerate this work, and recent benchmarks…

Logic in Computer Science · Computer Science 2026-05-28 Leo Yao

Modern out-of-order processors face speculative execution attacks. Despite various proposed software and hardware mitigations to prevent such attacks, new attacks keep arising from unknown vulnerabilities. Thus, a formal and rigorous…

Hardware Architecture · Computer Science 2024-07-18 Qinhan Tan , Yuheng Yang , Thomas Bourgeat , Sharad Malik , Mengjia Yan

Empirical evaluation of state-of-the-art natural-language (NL) to temporal-logic (TL) translation systems reveals near-perfect performance on existing benchmarks. However, current studies measure only the accuracy of the translation of NL…

Systems and Control · Electrical Eng. & Systems 2025-12-19 William H English , Chase Walker , Dominic Simon , Sumit Kumar Jha , Rickard Ewetz

We study the classical problem of verifying programs with respect to formal specifications given in the linear temporal logic (LTL). We first present novel sound and complete witnesses for LTL verification over imperative programs. Our…

Standpoint linear temporal logic ($SLTL$) is a recently introduced extension of classical linear temporal logic ($LTL$) with standpoint modalities. Intuitively, these modalities allow to express that, from agent $a$'s standpoint, it is…

Logic in Computer Science · Computer Science 2025-02-28 Rajab Aghamov , Christel Baier , Toghrul Karimov , Rupak Majumdar , Joël Ouaknine , Jakob Piribauer , Timm Spork

Formally verifying properties of software code has been a highly desirable task, especially with the emergence of LLM-generated code. In the same vein, they provide an interesting avenue for the exploration of formal verification and…

Artificial Intelligence · Computer Science 2025-10-02 Balaji Rao , William Eiers , Carlo Lipizzi

This paper presents an ongoing work that is part of a more wide-ranging project whose final scope is to define a method to validate LTL formulas w.r.t. a program written in the timed concurrent constraint language tccp, which is a logic…

Logic in Computer Science · Computer Science 2013-08-21 Marco Comini , Laura Titolo , Alicia Villanueva

Register-Transfer Level (RTL) verification is a primary bottleneck, consuming 60-70% of development time. While Large Language Models (LLMs) show promise for RTL automation, their performance and research focus have overwhelmingly centered…

Artificial Intelligence · Computer Science 2025-12-10 Yujie Zhao , Zhijing Wu , Boqin Yuan , Zhongming Yu , Hejia Zhang , Wentao Ni , Chia-Tung Ho , Haoxing Ren , Jishen Zhao

Model Checking is widely applied in verifying the correctness of complex and concurrent systems against a specification. Pure symbolic approaches while popular, suffer from the state space explosion problem due to cross product operations…

Logic in Computer Science · Computer Science 2023-08-28 Prasita Mukherjee , Haoteng Yin

Model checking linear-time properties expressed in first-order logic has non-elementary complexity, and thus various restricted logical languages are employed. In this paper we consider two such restricted specification logics, linear…

Logic in Computer Science · Computer Science 2019-03-14 Michael Benedikt , Rastislav Lenhardt , James Worrell

Verification of concurrent systems with thousands of multiple threads and transactions is a challenging problem not just for simulation or emulation but also for formal. To get designs to work correctly and provide optimal PPA the designers…

Software Engineering · Computer Science 2017-05-02 Ashish Darbari , Iain Singleton

A challenging problem for autonomous systems is to synthesize a reactive controller that conforms to a set of given correctness properties. Linear temporal logic (LTL) provides a formal language to specify the desired behavioral properties…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process…

Logic in Computer Science · Computer Science 2018-08-20 Petros Papapanagiotou , Jacques Fleuriot