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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…

Formal Languages and Automata Theory · Computer Science 2019-07-08 Simon Jantsch , David Müller , Christel Baier , Joachim Klein

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…

Formal Languages and Automata Theory · Computer Science 2017-09-08 David Müller , Salomon Sickert

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…

Formal Languages and Automata Theory · Computer Science 2012-04-02 Tomáš Babiak , Mojmír Křetínský , Vojtěch Řehák , Jan Strejček

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…

Formal Languages and Automata Theory · Computer Science 2023-05-18 Yong Li , Sven Schewe , Moshe Y. Vardi

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…

Formal Languages and Automata Theory · Computer Science 2022-05-10 Udi Boker , Karoliina Lehtinen , Salomon Sickert

We introduce a new fragment of Linear temporal logic (LTL) called LIO and a new class of Buechi automata (BA) called Almost linear Buechi automata (ALBA). We provide effective translations between LIO and ALBA showing that the two…

Formal Languages and Automata Theory · Computer Science 2009-11-12 Tomáš Babiak , Vojtěch Řehák , Jan Strejček

We study the problem of determinizing $\omega$-automata whose acceptance condition is defined on the transitions using Boolean formulas, also known as transition-based Emerson-Lei automata (TELA). The standard approach to determinize TELA…

Formal Languages and Automata Theory · Computer Science 2021-07-01 Tobias John , Simon Jantsch , Christel Baier , Sascha Klüppelholz

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…

Logic in Computer Science · Computer Science 2018-05-03 Javier Esparza , Jan Kretinsky , Salomon Sickert

In this paper we introduce a weighted LTL over product $\omega$-valuation monoids that satisfy specific properties. We also introduce weighted generalized B\"uchi automata with $\varepsilon$-transitions, as well as weighted B\"uchi automata…

Formal Languages and Automata Theory · Computer Science 2022-01-04 Eleni Mandrali

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…

Formal Languages and Automata Theory · Computer Science 2013-11-07 Tomáš Babiak , František Blahoudek , Mojmír Křetínský , Jan Strejček

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

Symbolic automata are finite state automata that support potentially infinite alphabets, such as the set of rational numbers, generally applied to regular expressions/languages over finite words. In symbolic automata (or automata modulo…

Formal Languages and Automata Theory · Computer Science 2023-10-05 Margus Veanes , Thomas Ball , Gabriel Ebner , Olli Saarikivi

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…

Logic in Computer Science · Computer Science 2018-05-04 Javier Esparza , Jan Křetínský , Jean-François Raskin , Salomon Sickert

We present a direct transformation of weak alternating $\omega$-automata into equivalent backward deterministic $\omega$-automata and show (1) how it can be used to obtain a transformation of non-deterministic B\"uchi automata into…

Formal Languages and Automata Theory · Computer Science 2017-01-10 Sebastian Preugschat , Thomas Wilke

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…

Logic in Computer Science · Computer Science 2015-03-20 Jan Křetínský , Javier Esparza

Unambiguous B\"uchi automata, i.e. B\"uchi automata allowing only one accepting run per word, are a useful restriction of B\"uchi automata that is well-suited for probabilistic model-checking. In this paper we propose a more permissive…

Formal Languages and Automata Theory · Computer Science 2018-09-26 Christof Löding , Anton Pirogov

The distributed temporal logic DTL is a logic for reasoning about temporal properties of distributed systems from the local point of view of the system's agents, which are assumed to execute sequentially and to interact by means of…

Multiagent Systems · Computer Science 2019-09-05 Jaime Ramos

The original local, discrete example of Linear Unitary Cellular Automata (LUCA) is analyzed in terms of a new representation previously introduced in [1] for classical CA. Several important underlying symmetries are reviewed and their tight…

Cellular Automata and Lattice Gases · Physics 2016-08-22 T. E. Raptis

In this paper we consider the class of lambda-nondeterministic linear automata as a model of the class of linear languages. As usual in other automata models, lambda-moves do not increase the acceptance power. The main contribution of this…

Formal Languages and Automata Theory · Computer Science 2016-12-01 Benjamín Bedregal

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…

Logic in Computer Science · Computer Science 2020-06-23 Samuel Huang , Rance Cleaveland
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