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Nir Piterman - From Nondeterministic Büchi and Streett Automata to Deterministic Parity Automata
lmcs:1199 - Logical Methods in Computer Science, August 14, 2007, Volume 3, Issue 3 - https://doi.org/10.2168/LMCS-3(3:5)2007From Nondeterministic Büchi and Streett Automata to Deterministic
Parity AutomataArticle
Authors: Nir Piterman 
0000-0002-8242-5357Nir Piterman
In this paper we revisit Safra's determinization constructions for automata on infinite words. We show how to construct deterministic automata with fewer states and, most importantly, parity acceptance conditions. Determinization is used in numerous applications, such as reasoning about tree automata, satisfiability of CTL*, and realizability and synthesis of logical specifications. The upper bounds for all these applications are reduced by using the smaller deterministic automata produced by our construction. In addition, the parity acceptance conditions allows to use more efficient algorithms (when compared to handling Rabin or Streett acceptance conditions).
Source: arXiv.org:0705.2205
Volume: Volume 3, Issue 3
Published on: August 14, 2007
Imported on: November 9, 2006
Keywords: Computer Science - Logic in Computer Science,Computer Science - Formal Languages and Automata Theory,F.1.1,F.4.3
Classifications
Mathematics Subject Classification 20201
Sources:
- [1] zbMATH Open.
Bibliographic References
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