1 research outputs found
Reducing (to) the Ranks: Efficient Rank-based B\"{u}chi Automata Complementation (Technical Report)
This paper provides several optimizations of the rank-based approach for
complementing B\"{u}chi automata. We start with Schewe's theoretically optimal
construction and develop a set of techniques for pruning its state space that
are key to obtaining small complement automata in practice. In particular, the
reductions (except one) have the property that they preserve (at least some)
so-called super-tight runs, which are runs whose ranking is as tight as
possible. Our evaluation on a large benchmark shows that the optimizations
indeed significantly help the rank-based approach and that, in a large number
of cases, the obtained complement is the smallest from those produced by a
large number of state-of-the-art tools for B\"{u}chi complementation.Comment: Accepted at CONCUR'2