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.
--m-nba=RANGE An NBA with N+1 states whose determinization 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
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