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We propose a novel algorithm for automata-based LTL model checking that interleaves the construction of the generalized B\"{u}chi automaton for the negation of the formula and the emptiness check. Our algorithm first converts the LTL…

Logic in Computer Science · Computer Science 2007-05-23 Moritz Hammer , Alexander Knapp , Stephan Merz

This paper deals with model checking problems with respect to LTL properties under fairness assumptions. We first present an efficient algorithm to deal with a fragment of fairness assumptions and then extend the algorithm to handle…

Logic in Computer Science · Computer Science 2016-08-11 Yong Li , Lei Song , Yuan Feng , Lijun Zhang

The B\"uchi non-emptiness problem for timed automata refers to deciding if a given automaton has an infinite non-Zeno run satisfying the B\"uchi accepting condition. The standard solution to this problem involves adding an auxiliary clock…

Logic in Computer Science · Computer Science 2020-12-07 Frédéric Herbreteau , B. Srivathsan , Igor Walukiewicz

In this paper we review algorithms for checking diagnosability of discrete-event systems and timed automata. We point out that the diagnosability problems in both cases reduce to the emptiness problem for (timed) B\"uchi automata. Moreover,…

Logic in Computer Science · Computer Science 2016-11-17 Franck Cassez

We present two new hybrid techniques that replace the synchronized product used in the automata-theoretic approach for LTL model checking. The proposed products are explicit graphs of aggregates (symbolic sets of states) that can be…

Logic in Computer Science · Computer Science 2011-06-29 Alexandre Duret-Lutz , Kais Klai , Denis Poitrenaud , Yann Thierry-Mieg

We present novel algorithms solving the satisfiability problem and the model checking problem for Visibly Linear Dynamic Logic (VLDL) in asymptotically optimal time via a reduction to the emptiness problem for tree automata with B\"uchi…

Logic in Computer Science · Computer Science 2017-08-03 Alexander Weinert

We propose and evaluate antichain algorithms to solve the universality and language inclusion problems for nondeterministic Buechi automata, and the emptiness problem for alternating Buechi automata. To obtain those algorithms, we establish…

Logic in Computer Science · Computer Science 2015-07-01 Laurent Doyen , Jean-Francois Raskin

We consider the problem of the verification of an LTL specification $\varphi$ on a system $S$ given some prior knowledge $K$, an LTL formula that $S$ is known to satisfy. The automata-theoretic approach to LTL model checking is implemented…

Formal Languages and Automata Theory · Computer Science 2025-03-31 Alexandre Duret-Lutz , Denis Poitrenaud , Yann Thierry-Mieg

Context: Linear temporal logic (LTL) model checking faces a significant challenge known as the state-explosion problem. The on-the-fly method is a solution that constructs and checks the state space simultaneously, avoiding generating all…

Logic in Computer Science · Computer Science 2024-06-13 Shuo Li , Liao Zheng , Ru Yang , Zhijun Ding

Several new algorithms for deciding emptiness of Boolean combinations of regular languages and of languages of alternating automata (AFA) have been proposed recently, especially in the context of analysing regular expressions and in string…

Formal Languages and Automata Theory · Computer Science 2023-04-12 Tomáš Fiedor , Lukáš Holík , Martin Hruška , Adam Rogalewicz , Juraj Síč , Pavol Vargovčík

Model checking approaches can be divided into two broad categories: global approaches that determine the set of all states in a model M that satisfy a temporal logic formula f, and local approaches in which, given a state s in M, the…

Logic in Computer Science · Computer Science 2014-10-29 Diego Latella , Michele Loreti , Mieke Massink

Recently, two new parallel algorithms for on-the-fly model checking of LTL properties were presented at the same conference: Automated Technology for Verification and Analysis, 2011. Both approaches extend Swarmed NDFS, which runs several…

Logic in Computer Science · Computer Science 2011-11-03 Alfons Laarman , Jaco van de Pol

In this paper, we consider the problem of translating LTL formulas to Buechi automata. We first translate the given LTL formula into a special disjuctive-normal form (DNF). The formula will be part of the state, and its DNF normal form…

Formal Languages and Automata Theory · Computer Science 2012-07-18 Jianwen Li , Geguang Pu , Lijun Zhang , Zheng Wang , Jifeng He , Kim G. Larsen

The existing core methods, which are employed by the popular CTL model checking tools, are facing the famous state explode problem. In our previous study, a method based on the Machine Learning (ML) algorithms was proposed to address this…

Logic in Computer Science · Computer Science 2019-02-26 Weijun ZHU

We propose a model checking algorithm to test properties of systems that are expressed in the multi-agent temporal logic ATL+. The specificities of this algorithm are: it is on-the-fly, generating states only when they are needed, and it…

Logic in Computer Science · Computer Science 2021-07-13 Serenella Cerrito

We present an on-the-fly synthesis framework for Linear Temporal Logic over finite traces (LTLf) based on top-down deterministic automata construction. Existing approaches rely on constructing a complete Deterministic Finite Automaton (DFA)…

Artificial Intelligence · Computer Science 2024-08-15 Shengping Xiao , Yongkang Li , Shufang Zhu , Jun Sun , Jianwen Li , Geguang Pu , Moshe Y. Vardi

The bottleneck in the quantitative analysis of Markov chains and Markov decision processes against specifications given in LTL or as some form of nondeterministic B\"uchi automata is the inclusion of a determinisation step of the automaton…

Logic in Computer Science · Computer Science 2015-04-27 Ernst Moritz Hahn , Guangyuan Li , Sven Schewe , Andrea Turrini , Lijun Zhang

Model checkers for timed automata are widely used to verify safety-critical, real-time systems. State-of-the-art tools achieve scalability by intricate abstractions. We aim at further increasing the trust in their verification results, in…

Logic in Computer Science · Computer Science 2020-07-09 Simon Wimmer , Frédéric Herbreteau , Jaco van de Pol

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

Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary…

Artificial Intelligence · Computer Science 2025-04-01 Mathias Jackermeier , Alessandro Abate
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