Interface FormulaManager

  • All Known Implementing Classes:
    AbstractFormulaManager

    public interface FormulaManager
    FormulaManager class contains all operations which can be performed on formulas.
    • Method Detail

      • getIntegerFormulaManager

        IntegerFormulaManager getIntegerFormulaManager()
        Returns the Integer-Theory. Because most SAT-solvers support automatic casting between Integer- and Rational-Theory, the Integer- and the RationalFormulaManager both return the same Formulas for numeric operations like ADD, SUBTRACT, TIMES, LESSTHAN, EQUAL and others.
        Throws:
        UnsupportedOperationException - If the theory is not supported by the solver.
      • getRationalFormulaManager

        RationalFormulaManager getRationalFormulaManager()
        Returns the Rational-Theory. Because most SAT-solvers support automatic casting between Integer- and Rational-Theory, the Integer- and the RationalFormulaManager both return the same Formulas for numeric operations like ADD, SUBTRACT, TIMES, LESSTHAN, EQUAL, etc.
        Throws:
        UnsupportedOperationException - If the theory is not supported by the solver.
      • getUFManager

        UFManager getUFManager()
        Returns the function for dealing with uninterpreted functions (UFs).
      • makeVariable

        <T extends Formula> T makeVariable​(FormulaType<T> formulaType,
                                           String name)
        Create variable of the type equal to formulaType.
        Parameters:
        formulaType - the type of the variable.
        name - the name of the variable.
        Returns:
        the created variable.
      • makeApplication

        <T extends Formula> T makeApplication​(FunctionDeclaration<T> declaration,
                                              List<? extends Formula> args)
        Create a function application to the given list of arguments.
        Parameters:
        declaration - Function declaration
        args - List of arguments
        Returns:
        Constructed formula
      • makeApplication

        <T extends Formula> T makeApplication​(FunctionDeclaration<T> declaration,
                                              Formula... args)
        Create a function application to the given list of arguments.
        Parameters:
        declaration - Function declaration
        args - List of arguments
        Returns:
        Constructed formula
      • getFormulaType

        <T extends FormulaFormulaType<T> getFormulaType​(T formula)
        Returns the type of the given Formula.
      • dumpFormula

        Appender dumpFormula​(BooleanFormula pT)
        Serialize an input formula to an SMT-LIB format. Very useful when passing formulas between different solvers.

        To get a String, simply call Object.toString() on the returned object. This method is lazy and does not create an output string until the returned object is actually used.

        Returns:
        SMT-LIB formula serialization.
      • simplify

        <T extends Formula> T simplify​(T input)
                                throws InterruptedException
        Simplify an input formula, while ensuring equivalence.

        For solvers that do not provide a simplification API, an original formula is returned.

        Parameters:
        input - The input formula
        Returns:
        Simplified version of the formula
        Throws:
        InterruptedException
      • visit

        @CanIgnoreReturnValue
        <R> R visit​(Formula f,
                    FormulaVisitor<R> rFormulaVisitor)
        Visit the formula with a given visitor.
      • visitRecursively

        void visitRecursively​(Formula f,
                              FormulaVisitor<TraversalProcess> rFormulaVisitor)
        Visit the formula recursively with a given FormulaVisitor.

        This method guarantees that the traversal is done iteratively, without using Java recursion, and thus is not prone to StackOverflowErrors.

        Furthermore, this method also guarantees that every equal part of the formula is visited only once. Thus it can be used to traverse DAG-like formulas efficiently.

      • transformRecursively

        <T extends Formula> T transformRecursively​(T f,
                                                   FormulaTransformationVisitor pFormulaVisitor)
        Visit the formula recursively with a given FormulaVisitor.

        This method guarantees that the traversal is done iteratively, without using Java recursion, and thus is not prone to StackOverflowErrors.

        Furthermore, this method also guarantees that every equal part of the formula is visited only once. Thus it can be used to traverse DAG-like formulas efficiently.

        Parameters:
        pFormulaVisitor - Transformation described by the user.
      • extractVariables

        Map<String,​Formula> extractVariables​(Formula f)
        Extract the names of all free variables and UFs in a formula.
        Parameters:
        f - The input formula
        Returns:
        Map from variable names to the corresponding formulas.
      • extractVariablesAndUFs

        Map<String,​Formula> extractVariablesAndUFs​(Formula f)
        Extract the names of all free variables and UFs in a formula.
        Parameters:
        f - The input formula
        Returns:
        Map from variable names to the corresponding formulas. If an UF occurs multiple times in the input formula, an arbitrary instance of an application of this UF is in the map.
      • substitute

        <T extends Formula> T substitute​(T f,
                                         Map<? extends Formula,​? extends Formula> fromToMapping)
        Substitute every occurrence of any item from changeFrom in formula f to the corresponding occurrence from changeTo.

        E.g. if changeFrom contains a variable a and changeTo contains a variable b all occurrences of a will be changed to b in the returned formula.

        Parameters:
        f - Formula to change.
        fromToMapping - Mapping of old and new formula parts.
        Returns:
        Formula with parts replaced.
      • translateFrom

        BooleanFormula translateFrom​(BooleanFormula formula,
                                     FormulaManager otherContext)
        Translates the formula from another context into the context represented by this. Default implementation relies on string serialization (dumpFormula(BooleanFormula) and parse(String)), but each solver may implement more efficient translation between its own contexts.
        Parameters:
        formula - Formula belonging to otherContext.
        otherContext - Formula manager belonging to the other context.
        Returns:
        Formula belonging to this context.
      • isValidName

        boolean isValidName​(String variableName)
        Check whether the given String can be used as symbol/name for variables or undefined functions.

        We explicitly state that with further development of SMT solvers and the SMTLib specification, the list of forbidden variable names may change in the future. Users should if possible not use logical or mathematical operators, or keywords strongly depending on SMTlib.

        If a variable name is rejected, a possibility is escaping, e.g. either substituting the whole variable name or just every invalid character with an escaped form. We recommend to use an escape sequence based on the token "JAVASMT", because it might be unusual enough to appear when encoding a user's problem in SMT. Please not that you might also have to handle escaping the escape sequence. Examples:

        • the invalid variable name "=" (logical operator for equality) can be replaced with a string "JAVASMT_EQUALS".
        • the invalid SMTlib-escaped variable name "|test|" (the solver SMTInterpol does not allow the pipe symbol "|" in names) can be replaced with "JAVASMT_PIPEtestJAVASMT_PIPE".
      • escape

        String escape​(String variableName)
        Get an escaped symbol/name for variables or undefined functions, if necessary.

        See isValidName(String) for further details.

      • unescape

        String unescape​(String variableName)
        Unescape the symbol/name for variables or undefined functions, if necessary.

        The result is undefined for Strings that are not properly escaped.

        See isValidName(String) for further details.