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相关论文: A Direct Translation from LTL with Past to Determi…

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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

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

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

In the mid 80s, Lichtenstein, Pnueli, and Zuck proved a classical theorem stating that every formula of Past LTL (the extension of LTL with past operators) is equivalent to a formula of the form $\bigwedge_{i=1}^n \mathbf{G}\mathbf{F}\,…

计算机科学中的逻辑 · 计算机科学 2024-06-11 Javier Esparza , Rubén Rubio , Salomon Sickert

In the mid 80s, Lichtenstein, Pnueli, and Zuck proved a classical theorem stating that every formula of Past LTL (the extension of LTL with past operators) is equivalent to a formula of the form $\bigwedge_{i=1}^n \mathbf{G}\mathbf{F}…

计算机科学中的逻辑 · 计算机科学 2020-05-04 Salomon Sickert , Javier Esparza

Linear temporal logic was introduced in order to reason about reactive systems. It is often considered with respect to infinite words, to specify the behaviour of long-running systems. One can consider more general models for linear time,…

计算机科学中的逻辑 · 计算机科学 2011-01-11 Julien Cristau

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

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

The model-checking problem for probabilistic systems crucially relies on the translation of LTL to deterministic Rabin automata (DRW). Our recent Safraless translation for the LTL(F,G) fragment produces smaller automata as compared to the…

计算机科学中的逻辑 · 计算机科学 2013-04-22 Krishnendu Chatterjee , Andreas Gaiser , Jan Křetínský

This paper describes a method for converting formulas in finite propositional linear-time temporal logic (Finite LTL) into finite-state automata whose languages are the models of the given formula. Finite LTL differs from traditional LTL in…

计算机科学中的逻辑 · 计算机科学 2020-06-23 Samuel Huang , Rance Cleaveland

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

We introduce a new translation from linear temporal logic (LTL) to deterministic Emerson-Lei automata, which are omega-automata with a Muller acceptance condition symbolically expressed as a Boolean formula. The richer acceptance condition…

形式语言与自动机理论 · 计算机科学 2017-09-08 David Müller , Salomon Sickert

Controller synthesis for general linear temporal logic (LTL) objectives is a challenging task. The standard approach involves translating the LTL objective into a deterministic parity automaton (DPA) by means of the Safra-Piterman…

计算机科学中的逻辑 · 计算机科学 2018-05-04 Javier Esparza , Jan Křetínský , Jean-François Raskin , 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

The paper proposes and studies temporal logics for attributed words, that is, data words with a (finite) set of (attribute,value)-pairs at each position. It considers a basic logic which is a semantical fragment of the logic…

计算机科学中的逻辑 · 计算机科学 2015-03-17 Ahmet Kara , Thomas Schwentick , Thomas Zeume

We study multi-task reinforcement learning (RL), a setting in which an agent learns a single, universal policy capable of generalising to arbitrary, possibly unseen tasks. We consider tasks specified as linear temporal logic (LTL) formulae,…

Transforming deterministic $\omega$-automata into deterministic parity automata is traditionally done using variants of appearance records. We present a more efficient variant of this approach, tailored to Rabin automata, and several…

计算机科学中的逻辑 · 计算机科学 2021-02-02 Jan Křetínský , Tobias Meggendorfer , Clara Waldmann , Maximilian Weininger

A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants)…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Alexei Lisitsa , Igor Potapov

We study transformations of automata and games using Muller conditions into equivalent ones using parity or Rabin conditions. We present two transformations, one that turns a deterministic Muller automaton into an equivalent deterministic…

形式语言与自动机理论 · 计算机科学 2024-08-07 Antonio Casares , Thomas Colcombet , Nathanaël Fijalkow , Karoliina Lehtinen

Deterministic 2-head finite automata which are machines that process an input word from both ends are analyzed for their ability to perform reversible computations. This implies that the automata are backward deterministic, enabling unique…

形式语言与自动机理论 · 计算机科学 2025-07-22 Benedek Nagy , Walaa Yasin
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