# On the size of disjunctive formulas in the μ-calculus

@article{Kupke2021OnTS,
title={On the size of disjunctive formulas in the $\mu$-calculus},
author={Clemens Kupke and Johannes Marti and Yde Venema},
journal={ArXiv},
year={2021},
volume={abs/2109.08310}
}
• Published 17 September 2021
• Mathematics
• ArXiv
A key result in the theory of the modal μ-calculus is the disjunctive normal form theorem by Janin & Walukiewicz, stating that every μ-calculus formula is semantically equivalent to a so-called disjunctive formula. These disjunctive formulas have good computational properties and play a pivotal role in the theory of the modal μ-calculus. It is therefore an interesting question what the best normalisation procedure is for rewriting a formula into an equivalent disjunctive formula of minimal size…

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