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Reasoning about strategic abilities is key to AI systems comprising multiple agents, which provide a unified framework for formalizing various problems in game theory, social choice theory, etc. In this work, we propose a probabilistic…

Logic in Computer Science · Computer Science 2024-12-13 Yedi Zhang , Fu Song , Taolue Chen , Xuzhi Wu

In this paper we consider the specification and verification of infinite-state systems using temporal logic. In particular, we describe parameterised systems using a new variety of first-order temporal logic that is both powerful enough for…

Logic in Computer Science · Computer Science 2007-05-23 Clare Dixon , Michael Fisher , Boris Konev , Alexei Lisitsa

Signal Temporal Logic (STL) is a widely recognized formal specification language to express rigorous temporal requirements on mixed analog signals produced by cyber-physical systems (CPS). A relevant problem in CPS design is how to…

Logic in Computer Science · Computer Science 2025-07-30 Beatrice Melani , Ezio Bartocci , Michele Chiari

We present an approach for verifying systems at runtime. Our approach targets distributed systems whose components communicate with monitors over unreliable channels, where messages can be delayed, reordered, or even lost. Furthermore, our…

Logic in Computer Science · Computer Science 2019-09-26 David Basin , Felix Klaedtke , Eugen Zalinescu

Recent advancements in test time compute, particularly through the use of verifier models, have significantly enhanced the reasoning capabilities of Large Language Models (LLMs). This generator-verifier approach closely resembles the…

Machine Learning · Computer Science 2024-10-11 Jianing Qi , Hao Tang , Zhigang Zhu

Runtime verification (RV) consists in dynamically verifying that the event traces generated by single runs of a system under scrutiny (SUS) are compliant with the formal specification of its expected properties. RML (Runtime Monitoring…

Logic in Computer Science · Computer Science 2020-09-02 Davide Ancona , Angelo Ferrando , Viviana Mascardi

We propose a signal temporal logic (STL)-based framework that rigorously verifies the feasibility of a mission described in STL and synthesizes control to safely execute it. The proposed framework ensures safe and reliable operation through…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Joonwon Choi , Kartik Anand Pant , Youngim Nam , Henry Hellmann , Karthik Nune , Inseok Hwang

Auto-active program verification rests on the ability to effectively the translation from annotated programs into verification conditions that are then discharged by automated theorem provers in the background. Characteristic such tools,…

Logic in Computer Science · Computer Science 2026-02-12 Gidon Ernst

Quantitative verification techniques have been developed for the formal analysis of a variety of probabilistic models, such as Markov chains, Markov decision process and their variants. They can be used to produce guarantees on quantitative…

Logic in Computer Science · Computer Science 2019-07-18 Marta Kwiatkowska , Gethin Norman , David Parker

Temporal logic based synthesis approaches are often used to find trajectories that are correct-by-construction for tasks in systems with complex behavior. Some examples of such tasks include synchronization for multi-agent hybrid systems,…

Logic in Computer Science · Computer Science 2017-09-22 Sumanth Dathathri , Richard M. Murray

This paper introduces a novel technique to decide the satisfiability of formulae written in the language of Linear Temporal Logic with Both future and past operators and atomic formulae belonging to constraint system D (CLTLB(D) for short).…

Logic in Computer Science · Computer Science 2014-02-12 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

Much of the recent work developing formal methods techniques to specify or learn the behavior of autonomous systems is predicated on a belief that formal specifications are interpretable and useful for humans when checking systems. Though…

Artificial Intelligence · Computer Science 2023-05-30 Ho Chit Siu , Kevin Leahy , Makai Mann

Reasoning with LLMs increasingly unfolds inside a broader verification loop. Internally, systems use cheap checks, such as self-consistency or proxy rewards, which we call weak verification. Externally, users inspect outputs and steer the…

Machine Learning · Computer Science 2026-02-20 Shayan Kiyani , Sima Noorani , George Pappas , Hamed Hassani

Game theory provides an effective way to model strategic interactions among rational agents. In the context of formal verification, these ideas can be used to produce guarantees on the correctness of multi-agent systems, with a diverse…

Computer Science and Game Theory · Computer Science 2024-11-11 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

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

Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

In this work we formulate the problem of satisfying a linear temporal logic formula on a linear plant with output feedback, through a recent hybrid systems formalism. We relate this problem to the notion of recurrence introduced for the…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Andrea Bisoffi , Dimos V. Dimarogonas

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2021-04-30 Daniel Neider , Alexander Weinert , Martin Zimmermann

Quantified CTL (QCTL) is a well-studied temporal logic that extends CTL with quantification over atomic propositions. It has recently come to the fore as a powerful intermediary framework to study logics for strategic reasoning. We extend…

Logic in Computer Science · Computer Science 2018-09-05 Raphaël Berthon , Bastien Maubert , Aniello Murano

We consider a committee voting setting in which each voter approves of a subset of candidates and based on the approvals, a target number of candidates are selected. Aziz et al. (2015) proposed two representation axioms called justified…

Computer Science and Game Theory · Computer Science 2017-03-24 Haris Aziz , Shenwei Huang
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