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Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with non-primitive recursive complexity. We also…

Logic in Computer Science · Computer Science 2017-01-11 Joel Ouaknine , James Worrell

A new logic for verification of security policies is proposed. The logic, HyperLTL, extends linear-time temporal logic (LTL) with connectives for explicit and simultaneous quantification over multiple execution paths, thereby enabling…

Logic in Computer Science · Computer Science 2013-07-10 Masoud Koleini , Michael R. Clarkson , Kristopher K. Micinski

We propose a reachability-based framework for reliable LLM-guided human-autonomy teaming (HAT) using signal temporal logic (STL). In the proposed framework, LLM is leveraged as a translator that transfers natural language commands given by…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Joonwon Choi , Kartik Anand Pant , Karthik Nune , Inseok Hwang

Signal Temporal Logic (STL) is a formal language for describing a broad range of real-valued, temporal properties in cyber-physical systems. While there has been extensive research on verification and control synthesis from STL…

Logics and model-checking have been successfully used in the last decades for modeling and verification of various types of hardware (and software) systems. While most languages and techniques emerged in a context of monolithic systems with…

Software Engineering · Computer Science 2016-07-14 Manuel Mazzara

In the field of robotics, researchers face a critical challenge in ensuring reliable and efficient task planning. Verifying high-level task plans before execution significantly reduces errors and enhance the overall performance of these…

Robotics · Computer Science 2025-07-08 Danil S. Grigorev , Alexey K. Kovalev , Aleksandr I. Panov

High-definition map transformations are essential in autonomous driving systems, enabling interoperability across tools. Ensuring their semantic correctness is challenging, since existing rule-based frameworks rely on manually written…

Software Engineering · Computer Science 2026-05-05 Ruidi He , Yu Zhang , Meng Zhang , Andreas Rausch

This paper presents LEXR, a framework for explaining the decision making of recurrent neural networks (RNNs) using a formal description language called Linear Temporal Logic (LTL). LTL is the de facto standard for the specification of…

Artificial Intelligence · Computer Science 2020-06-15 Bishwamittra Ghosh , Daniel Neider

Natural language is an intuitive way for humans to communicate tasks to a robot. While natural language (NL) is ambiguous, real world tasks and their safety requirements need to be communicated unambiguously. Signal Temporal Logic (STL) is…

Formal Languages and Automata Theory · Computer Science 2022-07-05 Sara Mohammadinejad , Jesse Thomason , Jyotirmoy V. Deshmukh

A rigorous formalization of desired system requirements is indispensable when performing any verification task. This often limits the application of verification techniques, as writing formal specifications is an error-prone and…

Logic in Computer Science · Computer Science 2023-03-10 Matthias Cosler , Christopher Hahn , Daniel Mendoza , Frederik Schmitt , Caroline Trippel

The use of temporal logics has long been recognised as a fundamental approach to the formal specification and verification of reactive systems. In this paper, we take on the problem of automatically verifying a temporal property, given by a…

Logic in Computer Science · Computer Science 2016-07-18 Tewodros A. Beyene , Corneliu Popeea , Andrey Rybalchenko

Signal Temporal Logic (STL) is a formal language for specifying real-time behaviors of cyber-physical systems (CPS). Automatically transforming natural language requirements into STL specifications has received growing attention. Recent…

Software Engineering · Computer Science 2026-05-05 Yue Fang , Zhi Jin , Jie An , Hongshen Chen , Xiaohong Chen , Naijun Zhan

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

This paper investigates the logical reasoning capabilities of large language models (LLMs). For a precisely defined yet tractable formulation, we choose the conceptually simple but technically complex task of constructing proofs in Boolean…

Machine Learning · Computer Science 2025-04-30 Yuan Xia , Akanksha Atrey , Fadoua Khmaissia , Kedar S. Namjoshi

Large Language Models (LLMs) have shown impressive performance in mathematical reasoning tasks when guided by Chain-of-Thought (CoT) prompting. However, they tend to produce highly confident yet incorrect outputs, which poses significant…

Machine Learning · Computer Science 2025-06-11 Zhenjiang Mao , Artem Bisliouk , Rohith Reddy Nama , Ivan Ruchkin

DatalogMTL is an extension of Datalog with metric temporal operators that has found an increasing number of applications in recent years. Reasoning in DatalogMTL is, however, of high computational complexity, which makes reasoning in modern…

Logic in Computer Science · Computer Science 2025-06-11 Dingmin Wang , Przemysław A. Wałęga , Pan Hu , Bernardo Cuenca Grau

Verification of large and complicated concurrent programs is an important issue in the software world. Stateless model checking is an appropriate method for systematically and automatically testing of large programs, which has proved its…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

The two major systems of formal verification are model checking and algebraic model-based testing. Model checking is based on some form of temporal logic such as linear temporal logic (LTL) or computation tree logic (CTL). One powerful and…

Logic in Computer Science · Computer Science 2019-01-31 Stefan D. Bruda , Sunita Singh , A. F. M. Nokib Uddin , Zhiyu Zhang , Rui Zuo

Signal Temporal Logic monitoring over numerical simulation traces has emerged as an effective approach to approximate verification of continuous and hybrid systems. In this report we explore an exact verification procedure for STL…

Logic in Computer Science · Computer Science 2020-08-18 Thomas Wright , Ian Stark

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…