# From LTL and Limit-Deterministic Büchi Automata to Deterministic Parity Automata

@article{Esparza2017FromLA, title={From LTL and Limit-Deterministic B{\"u}chi Automata to Deterministic Parity Automata}, author={Javier Esparza and Jan Křet{\'i}nsk{\'y} and Jean-François Raskin and Salomon Sickert}, journal={ArXiv}, year={2017}, volume={abs/1701.06103} }

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 construction. One of the challenges is the size of the DPA, which often grows very fast in practice, and can reach double exponential size in the length of the LTL formula. In this paper we describe a single exponential translation from limit-deterministic Buchi…

## 33 Citations

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A new translation from linear temporal logic to deterministic Emerson-Lei automata with a Muller acceptance condition symbolically expressed as a Boolean formula is introduced, which is an enhanced product construction that exploits knowledge of its components to reduce the number of states.

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An almost-symbolic version of this classic idea that performs the following steps: normalisation of the specification into a Boolean combination of “simple” fragment of LTL, translation of each “ simple” subformula into a deterministic automaton, encoding of each automaton into a binary decision diagram (BDD), and construction of a parity automaton by operations on the BDD.

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

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Strix is a new tool for reactive LTL synthesis combining a direct translation of LTL formulas into deterministic parity automata (DPA) and an efficient, multi-threaded explicit state solver for…

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This work classify the strongly connected components of the given NBA as inherently weak, deterministic accepting, and nondeterministic accepting; this results in an easier handling of the determinization algorithm that takes advantage of the structure of that SCC.

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