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genaut

This tool outputs ω-automata generated from scalable patterns.

These patterns are usually taken from the literature (see the genaut(1) man page for references).

--ks-nca=RANGE         A co-Büchi automaton with 2N+1 states for which
                       any equivalent deterministic co-Büchi automaton
                       has at least 2^N/(2N+1) states.
--l-dsa=RANGE          A deterministic Streett automaton with 4N states
                       with no equivalent deterministic Rabin automaton
                       of less than N! states.
--l-nba=RANGE          A Büchi automaton with 3N+1 states whose
                       complementary Streett automaton needs at least N!
                       states.

By default, the output format is HOA, but this can be controlled using the common output options for automata.

For instance:

genaut --ks-nca=2 --dot

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The patterns can be specified using a range of the form N (a single value), N..M (all values between N and M included), or ..M (all values between 1 and M included).

genaut --ks-nca=..5 --stats='%F=%L has %s states'
ks-nca=1 has 3 states
ks-nca=2 has 5 states
ks-nca=3 has 7 states
ks-nca=4 has 9 states
ks-nca=5 has 11 states