From Nondeterministic Büchi and Streett Automata to Deterministic Parity Automata

Nir Piterman, Wolfgang Thomas
2007 Logical Methods in Computer Science  
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
more » ... r construction. In addition, the parity acceptance conditions allows to use more efficient algorithms (when compared to handling Rabin or Streett acceptance conditions).
doi:10.2168/lmcs-3(3:5)2007 fatcat:psmm2ykaqfffrlvu4nsykc4mxm