Package dk.brics.automaton

Class BasicOperations

java.lang.Object
dk.brics.automaton.BasicOperations
public final class BasicOperations extends Object
Basic automata operations.

  • Method Details

    • concatenate

      public static Automaton concatenate(Automaton a1, Automaton a2)
      Returns an automaton that accepts the concatenation of the languages of the given automata.

      Complexity: linear in number of states.

    • concatenate

      public static Automaton concatenate(List<Automaton> l)
      Returns an automaton that accepts the concatenation of the languages of the given automata.

      Complexity: linear in total number of states.

    • optional

      public static Automaton optional(Automaton a)
      Returns an automaton that accepts the union of the empty string and the language of the given automaton.

      Complexity: linear in number of states.

    • repeat

      public static Automaton repeat(Automaton a)
      Returns an automaton that accepts the Kleene star (zero or more concatenated repetitions) of the language of the given automaton. Never modifies the input automaton language.

      Complexity: linear in number of states.

    • repeat

      public static Automaton repeat(Automaton a, int min)
      Returns an automaton that accepts min or more concatenated repetitions of the language of the given automaton.

      Complexity: linear in number of states and in min.

    • repeat

      public static Automaton repeat(Automaton a, int min, int max)
      Returns an automaton that accepts between min and max (including both) concatenated repetitions of the language of the given automaton.

      Complexity: linear in number of states and in min and max.

    • complement

      public static Automaton complement(Automaton a)
      Returns a (deterministic) automaton that accepts the complement of the language of the given automaton.

      Complexity: linear in number of states (if already deterministic).

    • minus

      public static Automaton minus(Automaton a1, Automaton a2)
      Returns a (deterministic) automaton that accepts the intersection of the language of a1 and the complement of the language of a2. As a side-effect, the automata may be determinized, if not already deterministic.

      Complexity: quadratic in number of states (if already deterministic).

    • intersection

      public static Automaton intersection(Automaton a1, Automaton a2)
      Returns an automaton that accepts the intersection of the languages of the given automata. Never modifies the input automata languages.

      Complexity: quadratic in number of states.

    • subsetOf

      public static boolean subsetOf(Automaton a1, Automaton a2)
      Returns true if the language of a1 is a subset of the language of a2. As a side-effect, a2 is determinized if not already marked as deterministic.

      Complexity: quadratic in number of states.

    • union

      public static Automaton union(Automaton a1, Automaton a2)
      Returns an automaton that accepts the union of the languages of the given automata.

      Complexity: linear in number of states.

    • union

      public static Automaton union(Collection<Automaton> l)
      Returns an automaton that accepts the union of the languages of the given automata.

      Complexity: linear in number of states.

    • determinize

      public static void determinize(Automaton a)
      Determinizes the given automaton.

      Complexity: exponential in number of states.

    • addEpsilons

      public static void addEpsilons(Automaton a, Collection<StatePair> pairs)
      Adds epsilon transitions to the given automaton. This method adds extra character interval transitions that are equivalent to the given set of epsilon transitions.
      Parameters:
      pairs - collection of StatePair objects representing pairs of source/destination states where epsilon transitions should be added

    • isEmptyString

      public static boolean isEmptyString(Automaton a)
      Returns true if the given automaton accepts the empty string and nothing else.

    • isEmpty

      public static boolean isEmpty(Automaton a)
      Returns true if the given automaton accepts no strings.

    • isTotal

      public static boolean isTotal(Automaton a)
      Returns true if the given automaton accepts all strings.

    • getShortestExample

      public static String getShortestExample(Automaton a, boolean accepted)
      Returns a shortest accepted/rejected string. If more than one shortest string is found, the lexicographically first of the shortest strings is returned.
      Parameters:
      accepted - if true, look for accepted strings; otherwise, look for rejected strings
      Returns:
      the string, null if none found

    • run

      public static boolean run(Automaton a, String s)
      Returns true if the given string is accepted by the automaton.

      Complexity: linear in the length of the string.

      Note: for full performance, use the RunAutomaton class.