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SPOT-X(7)			  User Commands 		       SPOT-X(7)

NAME
     spot-x - Common fine-tuning options and environment variables.

SYNOPSIS
     --extra-options STRING
     -x STRING

DESCRIPTION
     Common fine-tuning options for programs installed with Spot.

     The  argument of -x or --extra-options is a comma-separated list of KEY=INT
     assignments that are passed to the post-processing or translation	routines
     (they  may be passed to other algorithms in the future).  These options are
     mostly used for benchmarking  and	debugging  purpose.   KEY  (without  any
     value) is a shorthand for KEY=1, while !KEY is a shorthand for KEY=0.

   Temporal logic simplification options:
     tls-impl
	    Control  usage of implication-based rewriting.  (0) disables it, (1)
	    enables rules based on syntactic implications, (2) additionally  al-
	    lows automata-based implication checks, (3) enables more rules based
	    on	automata-based implication checks.  The default value depends on
	    the --low, --medium, or --high settings.

     tls-max-ops
	    Maximum number of operands in n-ary operators (or, and) on which im-
	    plication-based simplifications are attempted.  Defaults to 16.

     tls-max-states
	    Maximum number of states of automata involved in automata-based  im-
	    plication checks for formula simplifications.  Defaults to 64.

   Translation options:
     branch-post
	    Set to 0 to disable branching-postponement (done during translation,
	    may  create  more states) and delayed-branching (almost similar, but
	    done after translation to only remove states).  Set to  1  to  force
	    branching-postponement, and to 2 to force delayed-branching.  By de-
	    fault, delayed-branching is used.

     comp-susp
	    Set  to  1	to  enable compositional suspension, as described in our
	    SPIN'13 paper (see Bibliography below).  Set to 2, to build only the
	    skeleton TGBA without composing it.  Set to 0 (the default) to  dis-
	    able.   Nowadays,  ltl-split already takes care of that for suspend-
	    able subformulas at the top level.

     early-susp
	    When set to 1, start compositional	suspension  on	the  transitions
	    that  enter  accepting  SCCs, and not only on the transitions inside
	    accepting SCCs.  This option defaults to 0, and is	only  used  when
	    comp-susp=1.

     exprop
	    When set, this causes the core LTL translation to explicitly iterate
	    over all possible valuations of atomic propositions when considering
	    the successors of a BDD-encoded state, instead of discovering possi-
	    ble  successors  by  rewriting the BDD as a sum of product.  This is
	    enabled by default for --high, and disabled  by  default  otherwise.
	    When  unambiguous  automata  are required, this option is forced and
	    cannot be disabled.

     ltl-split
	    Set to 0 to disable the translation of automata as product or sum of
	    subformulas.

     skel-simul
	    Default to 1.  Set to 0 to disable simulation on  the  skeleton  au-
	    tomaton   during   compositional   suspension.    Only   used   when
	    comp-susp=1.

     skel-wdba
	    Set to 0 to disable WDBA minimization on the skeleton automaton dur-
	    ing compositional suspension.  Set to  1  always  WDBA-minimize  the
	    skeleton.	Set to 2 to keep the WDBA only if it is smaller than the
	    original skeleton.	This option is only used  when	comp-susp=1  and
	    default to 1 or 2 depending on whether --small or --deterministic is
	    specified.

   Postprocessing options:
     acd    Set  to 1 (the default) to use paritize automata using the alternat-
	    ing cycle decomposition.  Set to 0 to use paritization based on lat-
	    est appearance record variants.

     ba-simul
	    Set to 0 to disable simulation-based reductions  on  automata  where
	    state-based  acceptance must be preserved (e.g., after degeneraliza-
	    tion has been performed). The name suggests  this  applies	only  to
	    BA1/4chi  automata	for historical reasons; it really applies to any
	    state-based acceptance nowadays.  Set to 1 to use only direct  simu-
	    lation.  Set to 2 to use only reverse simulation.  Set to 3 to iter-
	    ate  both direct and reverse simulations.	The default is the value
	    of parameter "simul" in --high mode, and 0 otherwise.

     dba-simul
	    Set to 1 to enable simulation-based reduction after running the pow-
	    erset determinization enabled by "tba-det".   By  default,	this  is
	    disabled at low level or if parameter "simul" is set to 0.

     degen-lcache
	    If	non-zero (the default is 1), whenever the degeneralization algo-
	    rithm enters an SCC on a state that has already been associated to a
	    level elsewhere, it should reuse that level.  Different  values  can
	    be	used  to  select  which  level to reuse: 1 always uses the first
	    level created, 2 uses the minimum level seen so far, and 3 uses  the
	    maximum level seen so far.	The "lcache" stands for "level cache".

     degen-lowinit
	    Whenever  the degeneralization algorithm enters a new SCC (or starts
	    from the initial state), it starts on some level L that is	compati-
	    ble  with  all  outgoing transitions.  If degen-lowinit is zero (the
	    default) and the corresponding state (in the generalized  automaton)
	    has  an accepting self-loop, then level L is replaced by the accept-
	    ing level, as it might favor finding accepting cycles  earlier.   If
	    degen-lowinit is non-zero, then level L is always used without look-
	    ing for the presence of an accepting self-loop.

     degen-lskip
	    If	non-zero (the default), the degeneralization algorithm will skip
	    as many levels as possible for each transition.  This is enabled  by
	    default  as  it very often reduce the number of resulting states.  A
	    consequence of skipping levels is that the	degeneralized  automaton
	    tends to have smaller cycles around the accepting states.  Disabling
	    skipping  will  produce  automata  with large cycles, and often with
	    more states.

     degen-order
	    If non-zero, the degeneralization algorithm will compute an indepen-
	    dent degeneralization order for each SCC it processes.  This is cur-
	    rently disabled by default.

     degen-remscc
	    If non-zero (the default), make sure the output of the degeneraliza-
	    tion has as many SCCs as the input, by removing superfluous ones.

     degen-reset
	    If non-zero (the default), the degeneralization algorithm will reset
	    its level any time it exits an SCC.

     det-max-edges
	    When defined to a  positive  integer  N,  determinizations	will  be
	    aborted  whenever  the number of generated edges would exceed N.  In
	    this case a non-deterministic automaton will be returned.

     det-max-states
	    When defined to a  positive  integer  N,  determinizations	will  be
	    aborted  whenever the number of generated states would exceed N.  In
	    this case a non-deterministic automaton will be returned.

     det-scc
	    Set to 0 to disable scc-based optimizations in  the  determinization
	    algorithm.

     det-simul
	    Set  to  0	to  disable simulation-based optimizations in the deter-
	    minization algorithm.  This is enabled by default, unless "simul" is
	    set to 0.  (Do not confuse this with option "dpa-simul",  which runs
	    a simulation-based reduction after determinization.)

     det-stutter
	    Set to 0 to disable optimizations based on the stutter-invariance in
	    the determinization algorithm.

     dpa-simul
	    Set to 1  to  enable  simulation-based  reduction  after  running  a
	    Safra-like determinization to obtain a DPA, or 0 to disable.  By de-
	    fault  this  is disabled at low level or if parameter "simul" is set
	    to 0.  (Do not confuse this with option det-simul, which uses a sim-
	    ulation-based optimizations during the determinization.)

     gen-reduce-parity
	    When the postprocessor routines are configured  to	output	automata
	    with any kind of acceptance condition, but they happen to process an
	    automaton  with  parity acceptance, they call a function to minimize
	    the number of colors needed.  This option controls what happen  when
	    this  reduction  does not reduce the number of colors: when set (the
	    default) the output of the reduction is  returned,	this  means  the
	    colors  in	the automaton may have changed slightly, and in particu-
	    lar, there is no transition with more than one  color;  when  unset,
	    the original automaton is returned.

     gf-guarantee
	    Set to 0 to disable alternate constructions for GF(guarantee)->[D]BA
	    and  FG(safety)->DCA.  Those constructions are from an LICS'18 paper
	    by J.  Esparza, J. KAentAnskA1/2, and S. Sickert.  This  is  enabled
	    by	default  for medium and high optimization levels.  Unless we are
	    building deterministic automata, the resulting automata are compared
	    to the automata built using the more traditional pipeline, and  only
	    kept if they are better.

     merge-states-min
	    Number of states above which states are merged using a cheap approx-
	    imation   of  a  bisimulation  quotient  before  attempting  simula-
	    tion-based reductions.  Defaults to 128.  Set to 0	to  never  merge
	    states.

     rde    Disable  (0),  or enable (1) the 'restrict-dead-end-edges' optimiza-
	    tion.  A dead-end-edge is one that move to a state that has only it-
	    self as successors.  The label of such edges can  be  simplified  in
	    some situation, reducing non-determinism slightly.	By default (-1),
	    this  is  enabled only in --high mode, or if both --medium and --de-
	    terministic are used.

     relabel-bool
	    If set to a positive integer N, a formula with N atomic propositions
	    or more will have  its  Boolean  subformulas  abstracted  as  atomic
	    propositions  during  the  translation to automaton. This relabeling
	    can speeds the translation if a few  Boolean  subformulas  use  many
	    atomic  propositions.   This relabeling make sure the subexpressions
	    that are replaced do not share atomic propositions.  By default N=4.
	    Setting this value to 0 will disable the rewriting.

     relabel-overlap
	    If set to a positive integer N, a formula with N atomic propositions
	    or more will have  its  Boolean  subformulas  abstracted  as  atomic
	    propositions  during the translation to automaton. This version does
	    not care about overlapping atomic propositions, so it can cause  the
	    created  temporary	automata  to  have  incompatible combinations of
	    atomic propositions that will be eventually be removed.  This  rela-
	    beling  is	attempted after relabel-bool.  By default, N=8.  Setting
	    this value to 0 will disable the rewriting.

     sat-acc
	    When this is set to some positive integer, the  SAT-based  will  at-
	    tempt  to construct a TGBA with the given number of acceptance sets.
	    It may however return an automaton with  fewer  acceptance	sets  if
	    some  of  these  are  useless.   Setting  sat-acc automatically sets
	    sat-minimize to 1 if not set differently.

     sat-incr-steps
	    Set the value of sat-incr-steps.   This  variable  is  used  by  two
	    SAT-based  minimization  algorithms: (2) and (3).  They are both de-
	    scribed below.

     sat-langmap
	    Find the lower bound of default sat-minimize  procedure  (1).   This
	    relies  on	the  fact  that  the size of the minimal automaton is at
	    least equal to the total number of different languages recognized by
	    the automaton's states.

     sat-minimize
	    Set to a value between 1 and 4 to enable SAT-based	minimization  of
	    deterministic  I-automata.	 If the input has n states, a SAT solver
	    is used to find an equivalent automaton  with  1axm<n  states.   The
	    value between 1 and 4 selects how the lowest possible m is searched,
	    see the SAT-MINIMIZE VALUE section.  SAT-based minimization uses Pi-
	    coSAT  (embedded  in  Spot), but another installed SAT-solver can be
	    set thanks to the  SPOT_SATSOLVER  environment  variable.	Enabling
	    SAT-based minimization will also enable tba-det.

     sat-states
	    When  this	is set to some positive integer, the SAT-based minimiza-
	    tion will attempt to construct an automaton with the given number of
	    states.  It may however return an automaton  with  fewer  states  if
	    some  of these are unreachable or useless.	Setting sat-states auto-
	    matically enables sat-minimize, but no iteration is  performed.   If
	    no	equivalent  automaton could be constructed with the given number
	    of states, the original automaton is returned.

     scc-filter
	    Set to 1 (the default) to enable SCC-pruning and acceptance  simpli-
	    fication  at the beginning of post-processing.  Transitions that are
	    outside accepting SCC are removed from accepting sets, except  those
	    that enter into an accepting SCC.  Set to 2 to remove even these en-
	    tering transition from the accepting sets.	Set to 0 to disable this
	    SCC-pruning and acceptance simplification pass.

     simul  Set  to  0	to disable simulation-based reductions.  Set to 1 to use
	    only direct simulation.  Set to 2 to use  only  reverse  simulation.
	    Set to 3 to iterate both direct and reverse simulations. The default
	    is	3,  except when option --low is specified, in which case the de-
	    fault is 1.

     simul-max
	    Number  of	states	above  which  simulation-based	reductions   are
	    skipped.  Defaults	to  4096.  Set to 0 to disable.  This applies to
	    all simulation-based optimization, including  those  of  the  deter-
	    minization algorithm.

     simul-method
	    Chose  which  simulation  based reduction to use: 1 force the signa-
	    ture-based BDD implementation, 2 force matrix-based and 0,	the  de-
	    fault, is a heuristic which chooses which implementation to use.

     simul-trans-pruning
	    Number  of	equivalence classes above which simulation-based transi-
	    tion-pruning for non-deterministic automata is  disabled.	Defaults
	    to	512.  Set to 0 to disable.  This applies to all simulation-based
	    reductions, as well as to the simulation-based optimization  of  the
	    determinization  algorithm.   Simulation-based  reductions perform a
	    number of BDD implication checks that is quadratic in the number  of
	    classes  to implement transition pruning.  The number of equivalence
	    classes is equal to the number  of	output	states	of  the  simula-
	    tion-based reduction when transition-pruning is disabled, it is just
	    an upper bound otherwise.

     state-based
	    Set  to  1	to instruct the SAT-minimization procedure to produce an
	    automaton where all outgoing transition of a state have the same ac-
	    ceptance sets.  By default, this is only enabled when options -B  or
	    -S are used.

     tba-det
	    Set  to  1	to attempt a powerset determinization if the TGBA is not
	    already deterministic.  Doing so will  degeneralize  the  automaton.
	    This is disabled by default, unless sat-minimize is set.

     wdba-det-max
	    Maximum number of additional states allowed in intermediate steps of
	    WDBA-minimization. If the number of additional states reached in the
	    powerset  construction  or	in  the  followup  products exceeds this
	    value, WDBA-minimization is aborted.  Defaults to 4096.  Set to 0 to
	    disable.  This limit is ignored when -D used or when  det-max-states
	    is set.

     wdba-minimize
	    Set  to  0 to disable WDBA-minimization, to 1 to always try it, or 2
	    to attempt it only on syntactic obligations or on automata that  are
	    weak  and deterministic.  The default is 1 in --high mode, else 2 in
	    --medium or --deterministic modes, else 0 in --low mode.

SAT-MINIMIZE VALUES
     When the sat-minimize=K option is used to enable SAT-based minimization  of
     deterministic automata, a SAT solver is used to minimize an input automaton
     with  N states into an output automaton with 1axMaxN states.  The parameter
     K specifies how the smallest possible M should be searched.

     1	    The default, 1, performs a binary search between 1 and N.  The lower
	    bound can sometimes be improved when the sat-langmap option is used.

     2	    Use PicoSAT assumptions. Each iteration encodes  the  search  of  an
	    (N-1)  state equivalent automaton, and additionally assumes that the
	    last sat-incr-steps states are unnecessary. On  failure,  relax  the
	    assumptions    to	 do    a   binary   search   between   N-1   and
	    N-1-sat-incr-steps.  sat-incr-steps defaults to 6.

     3	    After an (N-1) state automaton has been found, use incremental solv-
	    ing for the next sat-incr-steps iterations by forbidding  the  usage
	    of	an additional state without reencoding the problem again. A full
	    encoding  will  occur   after   sat-incr-steps   iterations   unless
	    sat-incr-steps=-1	  (see	  SPOT_XCNF    environment    variable).
	    sat-incr-steps defaults to 2.

     4	    This naive method tries to reduce the  size  of  the  automaton  one
	    state at a time. Note that it restarts all the encoding each time.

ENVIRONMENT VARIABLES
     SPOT_BDD_TRACE
	    If	this  variable is set to any value, statistics about BDD garbage
	    collection and resizing will be output on standard error.

     SPOT_CONTAINMENT_CHECK
	    Specifies which inclusion algorithm Spot should use.  If  the  vari-
	    able  is unset, or set to "default", containment checks are done us-
	    ing a complementation-based procedure.  If the variable  is  set  to
	    "forq",  then  the FORQ-based containment check is used for BA1/4chi
	    automata (the default procedure is still used for  non-BA1/4chi  au-
	    tomata).  See [6] in the bibliography below.

     SPOT_DEFAULT_FORMAT
	    Set  to a value of dot or hoa to override the default format used to
	    output automata.  Up to Spot 1.9.6 the default output format for au-
	    tomata used to be dot.  Starting with Spot 1.9.7, the default output
	    format switched to hoa as it is more convenient when chaining  tools
	    in a pipe.	Set this variable to dot to get the old behavior.  Addi-
	    tional  options may be passed to the printer by suffixing the output
	    format with = and the options.  For instance running
		% SPOT_DEFAULT_FORMAT=dot=bar autfilt ...
	    is the same as running
		% autfilt --dot=bar ...
	    but the use of the environment variable makes more sense if you  set
	    it up once for many commands.

     SPOT_DEBUG_PARSER
	    If	this  variable is set to any value, the automaton parser of Spot
	    is executed in debug mode, showing how the input is processed.

     SPOT_DOTDEFAULT
	    Whenever the --dot option is used without argument (even implicitely
	    via SPOT_DEFAULT_FORMAT), the contents of this variable are used  as
	    default  argument.	If you have some default settings in SPOT_DOTDE-
	    FAULT and want to append to options xyz temporarily  for  one  call,
	    use  --dot=.xyz:  the dot character will be replaced by the contents
	    of the SPOT_DOTDEFAULT environment variable.

     SPOT_DOTEXTRA
	    The contents of this variable is added to any  dot	output,  immedi-
	    ately before the first state is output.  This makes it easy to over-
	    ride global attributes of the graph.

     SPOT_EXCLUSIVE_WORD
	    Specifies  which  algorithm spot should use for exclusive_word. This
	    can currently take on 1 of 2 values: 0 for	the  legacy  implementa-
	    tion,  and	1  for the forq implementation [6] (See bibliography be-
	    low). Forq assumes buchi automata in  order  to  find  an  exclusive
	    word,  and	will  default to the legacy version if these constraints
	    are not satisfied with the automata passed.

     SPOT_HOA_TOLERANT
	    If this variable is set, a few sanity checks performed  by	the  HOA
	    parser  are skipped.  The tests in questions correspond to issues in
	    third-party tools that output incorrect HOA (e.g., declaring the au-
	    tomaton with property "univ-branch" when no universal  branching  is
	    actually used)

     SPOT_O_CHECK
	    Specifies the default algorithm that should be used by the is_oblig-
	    ation() function.  The value should be one of the following:

		   1	  Make	sure that the formula and its negation are real-
			  izable by non-deterministic co-BA1/4chi automata.

		   2	  Make sure that the formula and its negation are  real-
			  izable by deterministic BA1/4chi automata.

		   3	  Make sure that the formula is realizable by a weak and
			  deterministic BA1/4chi automata.

     SPOT_OOM_ABORT
	    If	this variable is set, Out-Of-Memory errors will abort() the pro-
	    gram (potentially generating a coredump) instead of raising  an  ex-
	    ception.   This  is  useful to debug a program and to obtain a stack
	    trace pointing to the function  doing  the	allocation.   When  this
	    variable is unset (the default), std::bad_alloc are thrown on memory
	    allocation	failures,  and	the stack is usually unwinded up to top-
	    level, losing the original context of the error.  Note that at least
	    ltlcross has some custom handling of std::bad_alloc to recover  from
	    products  that  are  too  large (by ignoring them), and setting this
	    variable will interfer with that.

     SPOT_PR_CHECK
	    Select the default algorithm that must be used to check the  persis-
	    tence  or recurrence property of a formula f. The values it can take
	    are between 1 and 3. All methods work either on f or  !f  thanks  to
	    the  duality  of  persistence and recurrence classes.  See this page
	    for more details. If it is set to:

		   1	  It will try to check if f (or !f) is co-BA1/4chi real-
			  izable in order to tell if f belongs	to  the  persis-
			  tence (or the recurrence) class.

		   2	  It  checks if f (or !f) is det-BA1/4chi realizable via
			  a reduction to deterministic-Rabin in order to tell if
			  f belongs  to  the  recurrence  (or  the  persistance)
			  class.

		   3	  It  checks if f (or !f) is det-BA1/4chi realizable via
			  a reduction to deterministic-parity in order	to  tell
			  if  f  belongs  to the recurrence (or the persistance)
			  class.

     SPOT_SATLOG
	    If set to a filename, the SAT-based minimization routines  will  ap-
	    pend  statistics  about each iteration to the named file.  Each line
	    lists the following comma-separated values: input number of  states,
	    target  number  of states, number of reachable states in the output,
	    number of edges in the output, number of transitions in the  output,
	    number of variables in the SAT problem, number of clauses in the SAT
	    problem, user time for encoding the SAT problem, system time for en-
	    coding  the SAT problem, user time for solving the SAT problem, sys-
	    tem time for solving the SAT problem,  automaton  produced	at  this
	    step in HOA format.

     SPOT_SATSOLVER
	    If	set,  this variable should indicate how to call an external SAT-
	    solver.  y default, Spot uses PicoSAT, which  is  distributed  with.
	    This is used by the sat-minimize option described above.  The format
	    to	follow	is  the following: "<sat_solver> [options] %I >%O".  The
	    escape sequences %I and %O respectively denote the names of the  in-
	    put  and output files.  These temporary files are created in the di-
	    rectory specified by SPOT_TMPDIR or TMPDIR	(see  below).  The  SAT-
	    solver  should  follow the convention of the SAT Competition for its
	    input and output format.

     SPOT_STREETT_CONV_MIN
	    The number of Streett pairs above which conversion from Streett  ac-
	    ceptance  to  generalized-BA1/4chi	acceptance should be made with a
	    dedicated algorithm.  By default this is 3, i.e., if a  Streett  au-
	    tomaton  with  3  acceptance  pairs or more has to be converted into
	    generalized-BA1/4chi, the dedicated algorithm is used.   This  algo-
	    rithm is close to the classical conversion from Streett to BA1/4chi,
	    but with several tweaks.  When this algorithm is not used, the stan-
	    dard  "Fin-removal"  approach  is used instead: first the acceptance
	    condition is converted into disjunctive normal form (DNF), then  Fin
	    acceptance is removed like for Rabin automata, yielding a disjuction
	    of	generalized  BA1/4chi acceptance, and the result is finally con-
	    verted into conjunctive normal form (CNF) to  obtain  a  generalized
	    BA1/4chi acceptance.  Both algorithms have a worst-case size that is
	    exponential in the number of Streett pairs, but in practice the ded-
	    icated  algorithm  works  better for most Streett automata with 3 or
	    more pairs (and many 2-pair Streett automata as well, but  the  dif-
	    ference  here  is less clear).  Setting this variable to 0 will dis-
	    able the dedicated algorithm.  Setting it to 1 will  enable  it  for
	    all Streett automata, however we do not recommand setting it to less
	    than 2, because the "Fin-removal" approach is better for single-pair
	    Streett automata.

     SPOT_STUTTER_CHECK
	    Select  the  default  check  used to decide stutter invariance.  The
	    variable should hold a value between 1 and 8, corresponding  to  the
	    following tests described in our Spin'15 paper (see the BIBLIOGRAPHY
	    section).  The default is 8.

		   1	  sl(a) x sl(!a)

		   2	  sl(cl(a)) x !a

		   3	  cl(sl(a)) x !a

		   4	  sl2(a) x sl2(!a)

		   5	  sl2(cl(a)) x !a

		   6	  cl(sl2(a)) x !a

		   7	  sl(a) x sl(!a), performed on-the-fly

		   8	  cl(a) x cl(!a)

	    This  variable is used by the --check=stutter-invariance and --stut-
	    ter-invariant options, but it is ignored  by  --check=stutter-sensi-
	    tive-example.

     SPOT_SIMULATION_REDUCTION
	    Choose  which  simulation based reduction to use: 1 force signature-
	    based BDD implementation, 2 force matrix-based implementation and  0
	    is	default,  a  heuristic is used to choose which implementation to
	    use.

     SPOT_TMPDIR, TMPDIR
	    These variables control in which directory	temporary  files  (e.g.,
	    those  who contain the input and output when interfacing with trans-
	    lators) are created.  TMPDIR is only read if  SPOT_TMPDIR  does  not
	    exist.   If  none  of these environment variables exist, or if their
	    value is empty, files are created in the current directory.

     SPOT_TMPKEEP
	    When this variable is defined,  temporary  files  are  not	removed.
	    This is mostly useful for debugging.

     SPOT_XCNF
	    Assign  a  folder path to this variable to generate XCNF files when-
	    ever SAT-based  minimization  is  used  -  the  file  is  output  as
	    "incr.xcnf" in the specified directory. This feature works only with
	    an	external  SAT-solver.  See SPOT_SATSOLVER to know how to provide
	    one. Also note that  this  needs  an  incremental  approach  without
	    restarting	the  encoding i.e "sat-minimize=3,param=-1" for ltl2tgba
	    and ltl2tgta or "incr,param=-1" for autfilt (see sat-minimize option
	    described above or autfilt man page).  The XCNF format  is	the  one
	    used by the SAT incremental competition.

BIBLIOGRAPHY
     The  following  papers  are  related to some of the options and environment
     variables.

     1.     Christian Dax, Jochen Eisinger, Felix Klaedtke: Mechanizing the Pow-
	    erset Construction for Restricted Classes of I-Automata. Proceedings
	    of ATVA'07.  LNCS 4762.

	    Describes the WDBA-minimization algorithm implemented in Spot.   The
	    algorithm  used for the tba-det options is also a generalization (to
	    TBA instead of BA) of what they describe in sections 3.2 and 3.3.

     2.     TomA!A! Babiak, Thomas Badie, Alexandre  Duret-Lutz,  MojmAr  KAetA-
	    nskA1/2,  Jan  StrejAek:  Compositional  Approach  to Suspension and
	    Other Improvements to  LTL	Translation.   Proceedings  of	SPIN'13.
	    LNCS 7976.

	    Describes  the compositional suspension, the simulation-based reduc-
	    tions, and the SCC-based simplifications.

     3.     RA1/4diger Ehlers: Minimising Deterministic BA1/4chi  Automata  Pre-
	    cisely using SAT Solving.  Proceedings of SAT'10.  LNCS 6175.

	    Our  SAT-based  minimization  procedures are generalizations of this
	    paper to deal with TBA or TGBA.

     4.     Thibaud Michaud and Alexandre Duret-Lutz: Practical  stutter-invari-
	    ance  checks  for I-regular languages, Proceedings of SPIN'15.  LNCS
	    9232.

	    Describes the stutter-invariance checks that can be selected through
	    SPOT_STUTTER_CHECK.

     5.     Javier Esparza, Jan KAetAnskA1/2 and Salomon Sickert: One Theorem to
	    Rule Them All: A Unified Translation of LTL into  I-Automata.   Pro-
	    ceedings of LICS'18.

	    Describes  (among other things) the constructions used for translat-
	    ing formulas of the form GF(guarantee) or FG(safety),  that  can  be
	    disabled with -x gf-guarantee=0.

     6.     Kyveli  Doveri  and  Pierre  Ganty and Nicolas Mazzocchi: FORQ-Based
	    Language Inclusion Formal  Testing.   Proceedings  of  CAV'22.  LNCS
	    13372.

	    The containment check implemented as spot::contains_forq(), and used
	    for BA1/4chi automata when SPOT_CONTAINMENT_CHECK=forq.

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

COPYRIGHT
     Copyright	(C)  2025 by the Spot authors, see the AUTHORS File for details.
     License  GPLv3+:  GNU  GPL   version   3	or   later   <http://gnu.org/li-
     censes/gpl.html>.
     This  is  free software: you are free to change and redistribute it.  There
     is NO WARRANTY, to the extent permitted by law.

SEE ALSO
     ltl2tgba(1) ltl2tgta(1) dstar2tgba(1) autfilt(1)

spot-x (spot) 2.14.5		  January 2026			       SPOT-X(7)

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