# LTL to Deterministic Emerson-Lei Automata

@inproceedings{Mller2017LTLTD, title={LTL to Deterministic Emerson-Lei Automata}, author={David M{\"u}ller and Salomon Sickert}, booktitle={GandALF}, year={2017} }

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 structure allows the shift of complexity from the state space to the acceptance condition. Conceptually the construction is an enhanced product construction that exploits knowledge of its components to reduce the number of states. We identify two fragments of…

## 22 Citations

Rabinizer 4: From LTL to Your Favourite Deterministic Automaton

- Computer ScienceCAV
- 2018

Rabinizer 4 is presented, a tool set for translating formulae of linear temporal logic to different types of deterministic \(\omega \)-automata and enhancements both in terms of the size of the automata and the computational time are shown, due to algorithmic as well as implementation improvements.

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- 2021

This work introduces three new ways of translating TELA to GBA and gives a new determinization construction which determinizes several GBA separately and combines them using a product construction, which is competitive when compared with state-of-the-art determinization procedures.

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- 2019

A new algorithm for the generation of unambiguous Büchi automata (UBA) from LTL formulas based on a known translation from very weak alternating automata(VWAA) to NBA is proposed and it is shown that the VWAA-to-NBA translation preserves unambiguity.

LTL to Smaller Self-Loop Alternating Automata and Back

- Computer ScienceICTAC
- 2019

This paper considers SLAA with generic transition-based Emerson-Lei acceptance and presents translations of LTL to these automata and back, which produces considerably smaller automata than previous translations ofLTL to Buchi or co-Buchi SLAA.

Model checking with generalized Rabin and Fin-less automata

- Computer ScienceInternational Journal on Software Tools for Technology Transfer
- 2019

This paper investigates whether using a more general form of acceptance, namely a transition-based generalized Rabin automaton (TGRA), improves the model checking procedure and introduces a Fin-less acceptance condition, which is a disjunction of TGBAs.

A Unified Translation of Linear Temporal Logic to ω-Automata

- Computer Science
- 2020

A unified translation of LTL formulas into nondeterministic Buchi automata, limit-deterministic LTL automata (LDBA), and deterministic Rabin Automata (DRA) is presented.

Practical synthesis of reactive systems from LTL specifications via parity games

- Computer ScienceActa Informatica
- 2019

This work presents the adaption of the classic automata-theoretic approach to LTL synthesis, implemented in the tool Strix which has won the two last synthesis competitions, and evaluates the proposed techniques on the Syntcomp2019 benchmark set and shows in more detail how they compare to the techniques implemented in other leading LTL synthesisation tools.

Practical "Paritizing" of Emerson-Lei Automata

- Computer ScienceATVA
- 2020

We introduce a new algorithm that takes a Transition-based Emerson-Lei Automaton (TELA), that is, an ω-automaton whose acceptance condition is an arbitrary Boolean formula on sets of transitions to…

Optimal Transformations of Games and Automata Using Muller Conditions

- Computer ScienceICALP
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A new transformation is defined called the alternating cycle decomposition, inspired and extending Zielonka’s construction, which operates on transition systems, encompassing both automata and games, and preserves semantic properties through the existence of a locally bijective morphism.

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