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RANDAUT

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NAME

randaut - generate random automata

SYNOPSIS

randaut [OPTION...] N|PROP...

DESCRIPTION

Generate random connected automata.

The automata are built over the atomic propositions named by PROPS... or, if N is a nonnegative number, using N arbitrary names. If the edge density is set to D, and the number of states to Q, the degree of each state follows a normal distribution with mean 1+(Q-1)D and variance (Q-1)D(1-D). In particular, for D=0 all states have a single successor, while for D=1 all states are interconnected.

Generation:

-a, --acc-probability=FLOAT

probability that an edge belongs to one acceptance set (0.2)

-A, --acceptance=ACCEPTANCE

specify the acceptance type of the automaton

-B, --ba

build a Buchi automaton (implies --acceptance=Buchi --state-acc)

--colored

build an automaton in which each edge (or state if combined with -S) belong to a single acceptance set

-D, --deterministic

build a complete, deterministic automaton

-e, --density=FLOAT

density of the edges (0.2)

-n, --automata=INT

number of automata to output (1) use a negative value for unbounded generation

-Q, --states=RANGE

number of states to output (10)

--seed=INT

seed for the random number generator (0)

-S, --state-based-acceptance, --sbacc

used state-based acceptance

-u, --unique

do not output the same automaton twice (same in the sense that they are isomorphic)

RANGE may have one of the following forms: ’INT’, ’INT..INT’, or ’..INT’. In the latter case, the missing number is assumed to be 1.

ACCEPTANCE may be either a RANGE (in which case generalized Büchi is assumed), or an arbitrary acceptance formula such as ’Fin(0)|Inf(1)&Fin(2)’ in the same syntax as in the HOA format, or one of the following patterns:

none all Buchi co-Buchi generalized-Buchi RANGE generalized-co-Buchi RANGE Rabin RANGE Streett RANGE generalized-Rabin INT RANGE RANGE ... RANGE parity (min|max|rand) (odd|even|rand) RANGE random RANGE random RANGE PROBABILITY

The random acceptance condition uses each set only once, unless a probability (to reuse the set again every time it is used) is given.

Output format:

-8, --utf8

enable UTF-8 characters in output (ignored with --lbtt or --spin)

--check[=PROP]

test for the additional property PROP and output the result in the HOA format (implies -H). PROP may be any prefix of ’all’ (default), ’unambiguous’, ’stutter-invariant’, or ’strength’.

-d,
--dot
[=1|a|A|b|B|c|C(COLOR)|e|f(FONT)|h|k|K|n|N|o|r|R|s|t|u|v|y|+INT|<INT|#]

GraphViz’s format. Add letters for (1) force numbered states, (a) show acceptance condition (default), (A) hide acceptance condition, (b) acceptance sets as bullets, (B) bullets except for Büchi/co-Büchi automata, (c) force circular nodes, (C) color nodes with COLOR, (d) show origins when known, (e) force elliptic nodes, (f(FONT)) use FONT, (h) horizontal layout, (k) use state labels when possible, (K) use transition labels (default), (n) show name, (N) hide name, (o) ordered transitions, (r) rainbow colors for acceptance sets, (R) color acceptance sets by Inf/Fin, (s) with SCCs, (t) force transition-based acceptance, (u) hide true states, (v) vertical layout, (y) split universal edges by color, (+INT) add INT to all set numbers, (<INT) display at most INT states, (#) show internal edge numbers

-H, --hoaf[=1.1|i|k|l|m|s|t|v]

Output the automaton in HOA format (default). Add letters to select (1.1) version 1.1 of the format, (i) use implicit labels for complete deterministic automata, (s) prefer state-based acceptance when possible [default], (t) force transition-based acceptance, (m) mix state and transition-based acceptance, (k) use state labels when possible, (l) single-line output, (v) verbose properties

--lbtt[=t]

LBTT’s format (add =t to force transition-based acceptance even on Büchi automata)

--name=FORMAT

set the name of the output automaton

-o, --output=FORMAT

send output to a file named FORMAT instead of standard output. The first automaton sent to a file truncates it unless FORMAT starts with ’>>’.

-q, --quiet

suppress all normal output

-s, --spin[=6|c]

Spin neverclaim (implies --ba). Add letters to select (6) Spin’s 6.2.4 style, (c) comments on states

--stats=FORMAT, --format=FORMAT

output statistics about the automaton

Any FORMAT string may use the following interpreted sequences:

%%

a single %

%a

number of acceptance sets

%c, %[LETTERS]c

number of SCCs; you may filter the SCCs to count using the following LETTERS, possibly concatenated: (a) accepting, (r) rejecting, (c) complete, (v) trivial, (t) terminal, (w) weak, (iw) inherently weak. Use uppercase letters to negate them.

%d

1 if the output is deterministic, 0 otherwise

%e

number of reachable edges

%F

seed number

%g, %[LETTERS]g

acceptance condition (in HOA syntax); add brackets to print an acceptance name instead and LETTERS to tweak the format: (0) no parameters, (a) accentuated, (b) abbreviated, (d) style used in dot output, (g) no generalized parameter, (l) recognize Street-like and Rabin-like, (m) no main parameter, (p) no parity parameter, (o) name unknown acceptance as ’other’, (s) shorthand for ’lo0’.

%h

the automaton in HOA format on a single line (use %[opt]h to specify additional options as in --hoa=opt)

%L

automaton number

%m

name of the automaton

%n

number of nondeterministic states in output

%p

1 if the output is complete, 0 otherwise

%r

wall-clock time elapsed in seconds (excluding parsing)

%R, %[LETTERS]R

CPU time (excluding parsing), in seconds; Add LETTERS to restrict to(u) user time, (s) system time, (p) parent process, or (c) children processes.

%s

number of reachable states

%t

number of reachable transitions

%u, %[e]u

number of states (or [e]dges) with universal branching

%u, %[LETTER]u

1 if the automaton contains some universal branching (or a number of [s]tates or [e]dges with universal branching)

%w

one word accepted by the output automaton

%x, %[LETTERS]x

number of atomic propositions declared in the automaton; add LETTERS to list atomic propositions with (n) no quoting, (s) occasional double-quotes with C-style escape, (d) double-quotes with C-style escape, (c) double-quotes with CSV-style escape, (p) between parentheses, any extra non-alphanumeric character will be used to separate propositions

Miscellaneous options:

--help

print this help

--version

print program version

Mandatory or optional arguments to long options are also mandatory or optional for any corresponding short options.

EXAMPLES

This builds a random neverclaim with 4 states and labeled using the two atomic propositions "a" and "b":

% randaut --spin -Q4 a b

This builds three random, complete, and deterministic TGBA with 5 to 10 states, 1 to 3 acceptance sets, and three atomic propositions:

% randaut -n3 -D -H -Q5..10 -A1..3 3

Build 3 random, complete, and deterministic Rabin automata with 2 to 3 acceptance pairs, state-based acceptance, 8 states, a high density of edges, and 3 to 4 atomic propositions:

% randaut -n3 -D -H -Q8 -e.8 -S -A ’Rabin 2..3’ 3..4

REPORTING BUGS

Report bugs to <spot@lrde.epita.fr>.

COPYRIGHT

Copyright © 2018 Laboratoire de Recherche et Développement de l’Epita. License GPLv3+: GNU GPL version 3 or later.
This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law.

SEE ALSO

genltl(1), genaut(1), randltl(1), autfilt(1)