postproc: add support for colored-parity
* spot/twaalgos/postproc.cc, spot/twaalgos/postproc.hh: Add support for a colored option. * bin/common_post.cc, bin/common_post.hh bin/autfilt.cc, bin/ltl2tgba.cc, bin/dstar2tgba.cc: Add support for --colored-parity. * bin/ltldo.cc: Adjust as well for consistency, even if --parity and --colored-parity is not used here. * tests/core/parity2.test: Add tests. * doc/org/autfilt.org, doc/org/ltl2tgba.org: Add examples. * NEWS: Mention --colored-parity.
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Alexandre Duret-Lutz
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12 changed files with 411 additions and 41 deletions
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@ -11,7 +11,7 @@ The tool operates a loop over 5 phases:
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- optionally preprocess the automaton
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- optionally filter the automaton (i.e., decide whether to ignore the
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automaton or continue with it)
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- optionally postprocess the automaton
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- optionally postprocess the automaton (to simply it or change its acceptance)
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- output the automaton
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The simplest way to use the tool is simply to use it for input and
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@ -242,14 +242,20 @@ This set of options controls the desired type of output automaton:
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autfilt --help | sed -n '/Output automaton type:/,/^$/p' | sed '1d;$d'
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#+END_SRC
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#+RESULTS:
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: -B, --ba Büchi Automaton (with state-based acceptance)
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: -C, --complete output a complete automaton
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: -G, --generic any acceptance is allowed (default)
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: -M, --monitor Monitor (accepts all finite prefixes of the given
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: property)
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: -S, --state-based-acceptance, --sbacc
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: define the acceptance using states
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: --tgba Transition-based Generalized Büchi Automaton
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#+begin_example
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-B, --ba Büchi Automaton (with state-based acceptance)
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-C, --complete output a complete automaton
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-G, --generic any acceptance is allowed (default)
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-M, --monitor Monitor (accepts all finite prefixes of the given
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property)
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-p, --colored-parity[=any|min|max|odd|even|min odd|min even|max odd|max
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even] colored automaton with parity acceptance
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-P, --parity[=any|min|max|odd|even|min odd|min even|max odd|max even]
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automaton with parity acceptance
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-S, --state-based-acceptance, --sbacc
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define the acceptance using states
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--tgba Transition-based Generalized Büchi Automaton
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#+end_example
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These options specify any simplification goal:
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@ -286,10 +292,11 @@ if you want to try to make (or keep) it deterministic use
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Note that the =--deterministic= flag has two possible behaviors
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depending on the constraints on the acceptance conditions:
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- When =autfilt= is configured to work with generic acceptance (the
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=--generic= option, which is the default), then the
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=--deterministic= flag will do whatever it takes to output a
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deterministic automaton, and this includes changing the acceptance
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condition if needed (see below).
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=--generic= option, which is the default) or parity acceptance
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(using =--parity= or =--colored-parity=), then the =--deterministic=
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flag will do whatever it takes to output a deterministic automaton,
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and this includes changing the acceptance condition if needed (see
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below).
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- If options =--tgba= or =--ba= are used, the =--deterministic= option
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is taken as a /preference/: =autfilt= will try to favor determinism
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in the output, but it may not always succeed and may output
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@ -319,10 +326,15 @@ attempted on any supplied automaton. (It's even attempted for
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deterministic automata, because that might reduce them.)
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If that first procedure failed, and the input automaton is not
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deterministic and =--generic= (the default for =autfilt=) is used,
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then the second procedure is used. In this case, automata will be
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first converted to transition-based Büchi automata if their condition
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is more complex.
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deterministic and =--generic= (the default for =autfilt=), =--parity=
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or =--colorized-parity= is used, then the second procedure is used.
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In this case, automata will be first converted to transition-based
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Büchi automata if their acceptance condition is more complex.
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The difference between =--parity= and =--colored-parity= parity is
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that the latter requests all transitions (or all states when
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state-based acceptance is used) to belong to exactly one acceptance
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set.
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* Transformations
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@ -16,10 +16,12 @@ a quick summary:
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- =--tgba= (the default) outputs Transition-based Generalized Büchi
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Automata
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- =--ba= (or =-B=) outputs state-based Büchi automata
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- =--monitor= (or =-M=) outputs Monitors
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- =--generic --deterministic= (or =-GD=) will do whatever it takes to
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- =--monitor= (or =-M=) outputs monitors
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- =--generic --deterministic= (or =-DG=) will do whatever it takes to
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produce a deterministic automaton, and may output generalized Büchi,
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or parity acceptance.
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- =--parity --deterministic= (or =-DP=) will produce a deterministic
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automaton with parity acceptance.
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* TGBA and BA
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@ -716,7 +718,7 @@ to experiment with the different settings on a small version of the
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pattern, and select the lowest setting that satisfies your
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expectations.
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* Deterministic automata with =--generic=
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* Deterministic automata with =--generic --deterministic=
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:PROPERTIES:
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:CUSTOM_ID: generic
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:END:
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@ -793,6 +795,127 @@ ltl2tgba "F(a W FGb)" -x '!det-scc' -G -D -d.a
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#+RESULTS:
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[[file:ltl2tgba-det2.svg]]
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While the =--generic= option currently only builds automata with
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generalized-Büchi or parity acceptance, this is very likely to change
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in the future.
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* Deterministic automata with =--parity --deterministic=
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Using the =--parity= (or upper-case =-P=) option will force the
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acceptance condition to be of a parity type. This has to be
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understood in the sense of the HOA format, where:
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- multiple parity types are defined (=min odd n=, =min even n=, =max
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odd n=, and =max even n= where =n= is the number of acceptance
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sets), and
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- the parity acceptance is only a type of acceptance condition, i.e.,
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a formula expressed in terms of acceptance sets, and does not have
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additional constraints on these sets. In particular it is not
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necessary the case that each transition or state belongs to exactly
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one acceptance set (this is the "colored" property, see below).
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Under these assumptions, Büchi acceptance is just one kind of parity
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(in HOA =Buchi= is equivalent to =parity max even 1= or =parity min
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even 1=), Rabin with one pair is also a parity acceptance (=Rabin 1=
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is equivalent to =parity min odd 2=), and Streett with one pair as
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well (=Streett 1= is equivalent to =parity max odd 2=).
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In the current implementation, using =ltl2tgba --parity= (without
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=--deterministic=) will always produce a Büchi automaton, and when
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=--deterministic= (or =-D=) is added, it will produce an deterministic
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automaton with Büchi acceptance (=parity min even 1=) or with =parity
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min odd n= acceptance, because the latter is the type of parity
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acceptance that our determinization procedure outputs.
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For instance, =FGa= gets translated into an automaton with =Rabin 1=
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acceptance (another name for =parity min odd 2=):
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#+NAME: ltl2tgba-dp1
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#+BEGIN_SRC sh :results verbatim :exports code
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ltl2tgba "FGa" -D -P -d.a
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#+END_SRC
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#+BEGIN_SRC dot :file ltl2tgba-dp1.svg :var txt=ltl2tgba-dp1 :exports results
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$txt
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#+END_SRC
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#+RESULTS:
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[[file:ltl2tgba-dp1.svg]]
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And =GFa & GFb= gets translated into a =Büchi= automaton (another name
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for =parity min even 1=):
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#+NAME: ltl2tgba-dp2
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#+BEGIN_SRC sh :results verbatim :exports code
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ltl2tgba "GFa & GFb" -D -P -d.a
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#+END_SRC
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#+BEGIN_SRC dot :file ltl2tgba-dp2.svg :var txt=ltl2tgba-dp2 :exports results
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$txt
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#+END_SRC
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#+RESULTS:
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[[file:ltl2tgba-dp2.svg]]
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If we really want to use the same style of parity acceptance for all outputs,
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we can specify it as an argument to the =--parity= option. For instance
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#+NAME: ltl2tgba-dp3
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#+BEGIN_SRC sh :results verbatim :exports code
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ltl2tgba "GFa & GFb" -D -P'min odd' -d.a
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#+END_SRC
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#+BEGIN_SRC dot :file ltl2tgba-dp3.svg :var txt=ltl2tgba-dp3 :exports results
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$txt
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#+END_SRC
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#+RESULTS:
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[[file:ltl2tgba-dp3.svg]]
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The =--colored-parity= (or lower-case =-p=) option works similarly to
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=--parity=, but additionally requests that the automaton be colored.
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I.e., each transition (or state if state-based acceptance is
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requested) should belong to exactly one acceptance set.
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#+NAME: ltl2tgba-dp4
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#+BEGIN_SRC sh :results verbatim :exports code
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ltl2tgba "GFa & GFb" -D -p -d.a
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#+END_SRC
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#+BEGIN_SRC dot :file ltl2tgba-dp4.svg :var txt=ltl2tgba-dp4 :exports results
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$txt
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#+END_SRC
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#+RESULTS:
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[[file:ltl2tgba-dp4.svg]]
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#+NAME: ltl2tgba-dp5
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#+BEGIN_SRC sh :results verbatim :exports code
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ltl2tgba "GFa & GFb" -D -p'min odd' -d.a
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#+END_SRC
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#+BEGIN_SRC dot :file ltl2tgba-dp5.svg :var txt=ltl2tgba-dp5 :exports results
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$txt
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#+END_SRC
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#+RESULTS:
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[[file:ltl2tgba-dp5.svg]]
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Note that all these options can be combined with state-based
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acceptance if needed:
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#+NAME: ltl2tgba-dp6
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#+BEGIN_SRC sh :results verbatim :exports code
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ltl2tgba "GFa & GFb" -D -S -p'max even' -d.a
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#+END_SRC
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#+BEGIN_SRC dot :file ltl2tgba-dp6.svg :var txt=ltl2tgba-dp6 :exports results
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$txt
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#+END_SRC
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#+RESULTS:
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[[file:ltl2tgba-dp6.svg]]
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* Translating multiple formulas for statistics
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If multiple formulas are given to =ltl2tgba=, the corresponding
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