SAT-based Minimization of Deterministic ω-Automata

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Abstract

We describe a tool that inputs a deterministic Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \omega} -automaton with any acceptance condition, and synthesizes an equivalent Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \omega} -automaton with another arbitrary acceptance condition and a given number of states, if such an automaton exists. This tool, that relies on a SAT-based encoding of the problem, can be used to provide minimal Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \omega} -automata equivalent to given properties, for different acceptance conditions.

Documents

Bibtex (lrde.bib)

@InProceedings{	  baarir.15.lpar,
  author	= {Souheib Baarir and Alexandre Duret-Lutz},
  booktitle	= {Proceedings of the 20th International Conference on Logic
		  for Programming, Artificial Intelligence, and Reasoning
		  (LPAR'15)},
  title		= {{SAT}-based Minimization of Deterministic
		  $\omega$-Automata},
  year		= {2015},
  month		= nov,
  pages		= {79--87},
  publisher	= {Springer},
  doi		= {10.1007/978-3-662-48899-7_6},
  volume	= {9450},
  series	= {Lecture Notes in Computer Science},
  abstract	= {We describe a tool that inputs a deterministic
		  $\omega$-automaton with any acceptance condition, and
		  synthesizes an equivalent $\omega$-automaton with another
		  arbitrary acceptance condition and a given number of
		  states, if such an automaton exists. This tool, that relies
		  on a SAT-based encoding of the problem, can be used to
		  provide minimal $\omega$-automata equivalent to given
		  properties, for different acceptance conditions.}
}