# LTL to Büchi Automata Translation: Fast and More Deterministic

@inproceedings{Babiak2012LTLTB, title={LTL to B{\"u}chi Automata Translation: Fast and More Deterministic}, author={Tom{\'a}s Babiak and Mojm{\'i}r Kret{\'i}nsk{\'y} and Vojtech Reh{\'a}k and Jan Strej{\vc}ek}, booktitle={TACAS}, year={2012} }

We introduce improvements in the algorithm by Gastin and Oddoux translating LTL formulae into Buchi automata via very weak alternating co-Buchi automata and generalized Buchi automata. Several improvements are based on specific properties of any formula where each branch of its syntax tree contains at least one eventually operator and at least one always operator. These changes usually result in faster translations and smaller automata. Other improvements reduce non-determinism in the produced…

## 116 Citations

### LTL transformation modulo positive transitions

- Computer ScienceIET Comput. Digit. Tech.
- 2017

A new efficient algorithm for translating linear temporal logic (LTL) formulas to Buchi automata, which are used by LTL model checkers, using the principle of alternating automata and keeping only the positive transitions without generating the intermediate generalised automata.

### 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.

### Compositional Approach to Suspension and Other Improvements to LTL Translation

- Computer ScienceSPIN
- 2013

A compositional approach is introduced where subformulae of this fragment of LTL are translated separately from the rest of an input formula and the produced automata are composed in a way that the sub formulae are checked only in relevant accepting strongly connected components of the final automaton.

### LTL to self-loop alternating automata with generic acceptance and back

- Computer ScienceTheor. Comput. Sci.
- 2020

### A Better Translation From LTL to Transition-Based Generalized Büchi Automata

- Computer ScienceIEEE Access
- 2017

This paper decomposes the translation from LTL to TGBA into three steps to give a step-wise description and improves all three steps, and introduces a new definition of acceptance conditions.

### One Theorem to Rule Them All: A Unified Translation of LTL into ω-Automata

- Computer ScienceLICS
- 2018

A unified translation of LTL formulas into deterministic Rabin automata, limit-deterministic Büchi Automata, and nondeterministicBüchi automata derived from one single Master Theorem of purely logical nature is presented.

### ltl3tela: LTL to Small Deterministic or Nondeterministic Emerson-Lei Automata

- Computer ScienceATVA
- 2019

Experimental evaluation shows that ltl3tela can produce deterministic automata that are, on average, noticeably smaller than deterministic TELA produced by state-of-the-art translators Delag, Rabinizer 4, and Spot.

### LTL translation improvements in Spot 1.0

- Computer ScienceInt. J. Crit. Comput. Based Syst.
- 2014

This paper focuses on Spot's module for translating linear-time temporal logic LTL formulas into Buchi automata: one of the steps required in the automata-theoretic approach to LTL model-checking.

### Is there a best büchi automaton for explicit model checking?

- Computer ScienceSPIN
- 2014

This paper searches for properties of Büchi automata that really influence the performance of explicit model checkers by manual analysis of several automata and by experiments with common LTL-to-BA translators and realistic verification tasks.

### Comparison of LTL to Deterministic Rabin Automata Translators

- Computer ScienceLPAR
- 2013

This work compares performance and automata produced by the mentioned tools, where ltl2dstar is combined with several LTL to Buchi automata translators: besides traditionally used LTL2BA, this work also considers LTL− >NBA, LTL3BA, and Spot.

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