Transforming ω-automata into parity automata is traditionally done using appearance records. We present an efficient variant of this idea, tailored to Rabin automata, and several optimizations applicable to all appearance records. We compare the methods experimentally and show that our method produces significantly smaller automata than previous approaches.
This work is partially funded by the German Research Foundation (DFG) projects Verified Model Checkers (No. 317422601) and Statistical Unbounded Verification (No. 383882557), and the Alexander von Humboldt Foundation with funds from the German Federal Ministry of Education and Research. It is an extended version of , including all proofs together with further explanations and examples. Moreover, we provide a new, more efficient construction based on (total) preorders, unifying previous optimizations. Experiments are performed with a new, performant implementation, comparing our approach to the current state of the art.
Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. Index appearance record with preorders. Acta Informatica. 2021. doi:10.1007/s00236-021-00412-y
Kretinsky, J., Meggendorfer, T., Waldmann, C., & Weininger, M. (2021). Index appearance record with preorders. Acta Informatica. Springer Science and Business Media LLC. https://doi.org/10.1007/s00236-021-00412-y
Kretinsky, Jan, Tobias Meggendorfer, Clara Waldmann, and Maximilian Weininger. “Index Appearance Record with Preorders.” Acta Informatica. Springer Science and Business Media LLC, 2021. https://doi.org/10.1007/s00236-021-00412-y.
J. Kretinsky, T. Meggendorfer, C. Waldmann, and M. Weininger, “Index appearance record with preorders,” Acta Informatica. Springer Science and Business Media LLC, 2021.
Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. 2021. Index appearance record with preorders. Acta Informatica.
Kretinsky, Jan, et al. “Index Appearance Record with Preorders.” Acta Informatica, Springer Science and Business Media LLC, 2021, doi:10.1007/s00236-021-00412-y.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
2021_ActaInfor_Křetínský.pdf 1.07 MB