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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…

Large language model (LLM) agents have exhibited strong problem-solving competence across domains like research and coding. Yet, it remains underexplored whether LLM agents can tackle compounding real-world problems that require a diverse…

Artificial Intelligence · Computer Science 2025-11-04 Hanwen Xu , Xuyao Huang , Yuzhe Liu , Kai Yu , Zhijie Deng

Parametric timed automata extend timed automata (Alur and Dill, 1991) in that they allow the specification of parametric bounds on the clock values. Since their introduction in 1993 by Alur, Henzinger, and Vardi, it is known that the…

Logic in Computer Science · Computer Science 2014-04-02 Karin Quaas

In a seminal paper from 1985, Sistla and Clarke showed that the model-checking problem for Linear Temporal Logic (LTL) is either NP-complete or PSPACE-complete, depending on the set of temporal operators used. If, in contrast, the set of…

Logic in Computer Science · Computer Science 2016-09-08 Michael Bauland , Martin Mundhenk , Thomas Schneider , Henning Schnoor , Ilka Schnoor , Heribert Vollmer

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) extend Linear Temporal Logic (LTL) for real-time constraints, with MTL using time-bounded modalities and TPTL employing freeze quantifiers. Satisfiability for both is…

Logic in Computer Science · Computer Science 2024-11-04 Shankara Narayanan Krishna , Khushraj Madnani , Agnipratim Nag , Paritosh Pandya

Test-Time Scaling (TTS) is an important method for improving the performance of Large Language Models (LLMs) by using additional computation during the inference phase. However, current studies do not systematically analyze how policy…

Computation and Language · Computer Science 2025-02-11 Runze Liu , Junqi Gao , Jian Zhao , Kaiyan Zhang , Xiu Li , Biqing Qi , Wanli Ouyang , Bowen Zhou

The aim of this paper is to study the complexity of the model checking problem MC for inquisitive propositional logic InqB and for inquisitive modal logic InqM, that is, the problem of deciding whether a given finite structure for the logic…

Logic in Computer Science · Computer Science 2024-04-01 Gianluca Grilletti , Ivano Ciardelli

We classify the computational complexity of the satisfiability, validity and model-checking problems for propositional independence, inclusion, and team logic. Our main result shows that the satisfiability and validity problems for…

Logic in Computer Science · Computer Science 2017-01-06 Miika Hannula , Juha Kontinen , Jonni Virtema , Heribert Vollmer

We develop a timeout based extension of propositional linear temporal logic (which we call TLTL) to specify timing properties of timeout based models of real time systems. TLTL formulas explicitly refer to a running global clock together…

Logic in Computer Science · Computer Science 2010-12-20 Janardan Misra , Suman Roy

Metric Interval Temporal Logic (MITL) is a popular formalism for specifying properties of reactive systems with timing constraints. Existing approaches to using MITL in verification tasks, however, have notable drawbacks: they either…

Formal Languages and Automata Theory · Computer Science 2025-10-03 Hsi-Ming Ho , Shankara Narayanan Krishna , Khushraj Madnani , Rupak Majumdar , Paritosh Pandya

Probabilistic model checking is a technique for formal automated reasoning about software or hardware systems that operate in the context of uncertainty or stochasticity. It builds upon ideas and techniques from a diverse range of fields,…

Logic in Computer Science · Computer Science 2023-08-08 David Parker

A Self modifying code is code that modifies its own instructions during execution time. It is nowadays widely used, especially in malware to make the code hard to analyse and to detect by anti-viruses. Thus, the analysis of such self…

Formal Languages and Automata Theory · Computer Science 2019-09-30 Tayssir Touili , Xin Ye

We present a bounded model checking algorithm for signal temporal logic (STL) that exploits mixed-integer linear programming (MILP). A key technical element is our novel MILP encoding of the STL semantics; it follows the idea of stable…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Sota Sato , Jie An , Zhenya Zhang , Ichiro Hasuo

In this paper the problem of cooperative task planning of multi-agent systems when timed constraints are imposed to the system is investigated. We consider timed constraints given by Metric Interval Temporal Logic (MITL). We propose a…

Systems and Control · Computer Science 2015-10-01 Alexandros Nikou , Jana Tumova , Dimos V. Dimarogonas

We study the satisfiability and model-checking problems for timed hyperproperties specified with HyperMTL, a timed extension of HyperLTL. Depending on whether interleaving of events in different traces is allowed, two possible semantics can…

Logic in Computer Science · Computer Science 2018-12-27 Hsi-Ming Ho , Ruoyu Zhou , Timothy M. Jones

Testing on reactive systems is a well-known laborious activity on software development due to their asynchronous interaction with the environment. In this setting model based testing has been employed when checking conformance and…

Software Engineering · Computer Science 2021-07-27 Adilson Luiz Bonifacio , Arnaldo Vieira Moura

Multi-Agent Systems (MAS) built on Large Language Models (LLMs) often exhibit high variance in their reasoning trajectories. Process verification, which evaluates intermediate steps in trajectories, has shown promise in general reasoning…

Artificial Intelligence · Computer Science 2026-02-04 Vishal Venkataramani , Haizhou Shi , Zixuan Ke , Austin Xu , Xiaoxiao He , Yingbo Zhou , Semih Yavuz , Hao Wang , Shafiq Joty

Consider a discrete dynamical system given by a square matrix $M \in \mathbb{Q}^{d \times d}$ and a starting point $s \in \mathbb{Q}^d$. The orbit of such a system is the infinite trajectory $\langle s, Ms, M^2s, \ldots\rangle$. Given a…

Logic in Computer Science · Computer Science 2020-07-10 Toghrul Karimov , Joël Ouaknine , James Worrell

Alternating-time temporal logic with strategy contexts (ATLsc) is a powerful formalism for expressing properties of multi-agent systems: it extends CTL with strategy quantifiers, offering a convenient way of expressing both collaboration…

Logic in Computer Science · Computer Science 2015-09-25 François Laroussinie , Nicolas Markey , Arnaud Sangnier

In this paper, we investigate the probabilistic variants of the strategy logics ATL and ATL* under imperfect information. Specifically, we present novel decidability and complexity results when the model transitions are stochastic and…

Multiagent Systems · Computer Science 2023-10-27 Francesco Belardinelli , Wojciech Jamroga , Munyque Mittelmann , Aniello Murano
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