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We introduce improvements in the algorithm by Gastin and Oddoux translating LTL formulae into B\"uchi automata via very weak alternating co-B\"uchi automata and generalized B\"uchi automata. Several improvements are based on specific…

形式语言与自动机理论 · 计算机科学 2012-04-02 Tomáš Babiak , Mojmír Křetínský , Vojtěch Řehák , Jan Strejček

In this paper we revisit Safra's determinization constructions for automata on infinite words. We show how to construct deterministic automata with fewer states and, most importantly, parity acceptance conditions. Determinization is used in…

计算机科学中的逻辑 · 计算机科学 2019-03-14 Nir Piterman

When dealing with linear temporal logic properties in the setting of e.g. games or probabilistic systems, one often needs to express them as deterministic omega-automata. In order to translate LTL to deterministic omega-automata, the…

计算机科学中的逻辑 · 计算机科学 2015-03-20 Jan Křetínský , Javier Esparza

While the complexity of translating future linear temporal logic (LTL) into automata on infinite words is well-understood, the size increase involved in turning automata back to LTL is not. In particular, there is no known elementary bound…

形式语言与自动机理论 · 计算机科学 2022-05-10 Udi Boker , Karoliina Lehtinen , Salomon Sickert

The classic approaches to synthesize a reactive system from a linear temporal logic (LTL) specification first translate the given LTL formula to an equivalent omega-automaton and then compute a winning strategy for the corresponding…

计算机科学中的逻辑 · 计算机科学 2010-06-09 Andreas Morgenstern , Klaus Schneider

We present a polynomial time algorithm that constructs a deterministic parity automaton (DPA) from a given set of positive and negative ultimately periodic example words. We show that this algorithm is complete for the class of…

形式语言与自动机理论 · 计算机科学 2024-08-07 León Bohn , Christof Löding

We introduce a method for translating an alternating weak B\"uchi automaton (AWA), which corresponds to a Linear Dynamic Logic (LDL) formula, to an unambiguous B\"uchi automaton (UBA). Our translations generalise constructions for Linear…

形式语言与自动机理论 · 计算机科学 2023-05-18 Yong Li , Sven Schewe , Moshe Y. Vardi

We present a unified translation of LTL formulas into deterministic Rabin automata, limit-deterministic B\"uchi automata, and nondeterministic B\"uchi automata. The translations yield automata of asymptotically optimal size (double or…

计算机科学中的逻辑 · 计算机科学 2018-05-03 Javier Esparza , Jan Kretinsky , Salomon Sickert

Some applications of linear temporal logic (LTL) require to translate formulae of the logic to deterministic omega-automata. There are currently two translators producing deterministic automata: ltl2dstar working for the whole LTL and…

形式语言与自动机理论 · 计算机科学 2013-11-07 Tomáš Babiak , František Blahoudek , Mojmír Křetínský , Jan Strejček

This paper proposes a new algorithm for the generation of unambiguous B\"uchi automata (UBA) from LTL formulas. Unlike existing tableau-based LTL-to-UBA translations, our algorithm deals with very weak alternating automata (VWAA) as an…

形式语言与自动机理论 · 计算机科学 2019-07-08 Simon Jantsch , David Müller , Christel Baier , Joachim Klein

We introduce Parametric Linear Dynamic Logic (PLDL), which extends Linear Dynamic Logic (LDL) by temporal operators equipped with parameters that bound their scope. LDL was proposed as an extension of Linear Temporal Logic (LTL) that is…

计算机科学中的逻辑 · 计算机科学 2014-08-27 Peter Faymonville , Martin Zimmermann

This paper proposes a specification-guided framework for control of nonlinear systems with linear temporal logic (LTL) specifications. In contrast with well-known abstraction-based methods, the proposed framework directly characterizes the…

系统与控制 · 电气工程与系统科学 2022-05-03 Yinan Li , Zhibing Sun , Jun Liu

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)…

人工智能 · 计算机科学 2024-08-15 Shengping Xiao , Yongkang Li , Shufang Zhu , Jun Sun , Jianwen Li , Geguang Pu , Moshe Y. Vardi

We present a new algorithm to construct a deterministic Rabin automaton for an LTL formula $\varphi$. The automaton is the product of a master automaton and an array of slave automata, one for each $G$-subformula of $\varphi$. The slave…

计算机科学中的逻辑 · 计算机科学 2014-09-26 Javier Esparza , Jan Křetínský

We present a translation from linear temporal logic with past to deterministic Rabin automata. The translation is direct in the sense that it does not rely on intermediate non-deterministic automata, and asymptotically optimal, resulting in…

形式语言与自动机理论 · 计算机科学 2024-09-05 Shaun Azzopardi , David Lidell , Nir Piterman

Linear temporal logic (LTL) is a powerful language for task specification in reinforcement learning, as it allows describing objectives beyond the expressivity of conventional discounted return formulations. Nonetheless, recent works have…

机器学习 · 计算机科学 2025-06-11 Marco Bagatella , Andreas Krause , Georg Martius

The temporal logics LTLf+ and PPLTL+ have recently been proposed to express objectives over infinite traces. These logics are appealing because they match the expressive power of LTL on infinite traces while enabling efficient DFA-based…

形式语言与自动机理论 · 计算机科学 2025-05-26 Giuseppe De Giacomo , Yong Li , Sven Schewe , Christoph Weinhuber , Pian Yu

The verification of systems combining hard timing constraints with concurrency is challenging. This challenge becomes even harder when some timing constants are missing or unknown. Parametric timed formalisms, such as parametric timed…

形式语言与自动机理论 · 计算机科学 2019-08-20 Étienne André , Didier Lime , Mathias Ramparison

This letter proposes a novel reinforcement learning method for the synthesis of a control policy satisfying a control specification described by a linear temporal logic formula. We assume that the controlled system is modeled by a Markov…

系统与控制 · 电气工程与系统科学 2020-03-27 Ryohei Oura , Ami Sakakibara , Toshimitsu Ushio

In this paper we address the synthesis problem for specifications given in linear temporal single-agent epistemic logic, KLTL (or $KL_1$), over single-agent systems having imperfect information of the environment state. Van der Meyden and…

计算机科学中的逻辑 · 计算机科学 2014-05-05 Rodica Bozianu , Catalin Dima , Emmanuel Filiot
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