Trait

scala.tools.nsc.transform.patmat.Logic

PropositionalLogic

Related Doc: package Logic

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trait PropositionalLogic extends AnyRef

Source
Logic.scala
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Inherited
  1. PropositionalLogic
  2. AnyRef
  3. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Type Members

  1. trait AbsVar extends AnyRef

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  2. final case class And(ops: Set[Prop]) extends Prop with Product with Serializable

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  3. final case class AtMostOne(ops: List[Sym]) extends Prop with Product with Serializable

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  4. abstract type Const

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  5. final case class Eq(p: Var, q: Const) extends Prop with Product with Serializable

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  6. type Model = Map[Sym, Boolean]

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  7. final case class Not(a: Prop) extends Prop with Product with Serializable

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  8. final case class Or(ops: Set[Prop]) extends Prop with Product with Serializable

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  9. class Prop extends AnyRef

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  10. trait PropMap extends AnyRef

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  11. trait PropTraverser extends AnyRef

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  12. final case class Solution(model: Model, unassigned: List[Sym]) extends Product with Serializable

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  13. abstract type Solvable

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  14. final class Sym extends Prop

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  15. abstract type Tree

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  16. abstract type Type

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  17. abstract type TypeConst <: Const

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  18. trait TypeConstExtractor extends AnyRef

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  19. abstract type ValueConst <: Const

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  20. trait ValueConstExtractor extends AnyRef

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  21. abstract type Var <: AbsVar

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  22. trait VarExtractor extends AnyRef

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Abstract Value Members

  1. abstract val EmptyModel: Model

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  2. abstract val NoModel: Model

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  3. abstract val NullConst: Const

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  4. abstract def TypeConst: TypeConstExtractor

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  5. abstract def ValueConst: ValueConstExtractor

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  6. abstract val Var: VarExtractor

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  7. abstract def eqFreePropToSolvable(f: Prop): Solvable

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  8. abstract def findAllModelsFor(solvable: Solvable, pos: Position = NoPosition): List[Solution]

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  9. abstract def findModelFor(solvable: Solvable): Model

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  10. abstract def prepareNewAnalysis(): Unit

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  11. abstract def reportWarning(message: String): Unit

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  12. abstract def uncheckedWarning(pos: Position, msg: String): Unit

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Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Test two objects for inequality.

    Test two objects for inequality.

    returns

    true if !(this == that), false otherwise.

    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Equivalent to x.hashCode except for boxed numeric types and null.

    Equivalent to x.hashCode except for boxed numeric types and null. For numerics, it returns a hash value which is consistent with value equality: if two value type instances compare as true, then ## will produce the same hash value for each of them. For null returns a hashcode where null.hashCode throws a NullPointerException.

    returns

    a hash value consistent with ==

    Definition Classes
    AnyRef → Any
  3. def +(other: String): String

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to any2stringadd[PropositionalLogic] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (PropositionalLogic, B)

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to ArrowAssoc[PropositionalLogic] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. def /\(props: Iterable[Prop]): Serializable with Product with Prop

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  6. final def ==(arg0: Any): Boolean

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    The expression x == that is equivalent to if (x eq null) that eq null else x.equals(that).

    The expression x == that is equivalent to if (x eq null) that eq null else x.equals(that).

    returns

    true if the receiver object is equivalent to the argument; false otherwise.

    Definition Classes
    AnyRef → Any
  7. object AnalysisBudget

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  8. object And extends Serializable

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  9. object False extends Prop with Product with Serializable

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  10. object Or extends Serializable

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  11. object Sym

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  12. object True extends Prop with Product with Serializable

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  13. def \/(props: Iterable[Prop]): Serializable with Product with Prop

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  14. final def asInstanceOf[T0]: T0

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    Cast the receiver object to be of type T0.

    Cast the receiver object to be of type T0.

    Note that the success of a cast at runtime is modulo Scala's erasure semantics. Therefore the expression 1.asInstanceOf[String] will throw a ClassCastException at runtime, while the expression List(1).asInstanceOf[List[String]] will not. In the latter example, because the type argument is erased as part of compilation it is not possible to check whether the contents of the list are of the requested type.

    returns

    the receiver object.

    Definition Classes
    Any
    Exceptions thrown

    ClassCastException if the receiver object is not an instance of the erasure of type T0.

  15. val budgetProp: sys.Prop[String]

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  16. def clone(): AnyRef

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    Create a copy of the receiver object.

    Create a copy of the receiver object.

    The default implementation of the clone method is platform dependent.

    returns

    a copy of the receiver object.

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
    Note

    not specified by SLS as a member of AnyRef

  17. def ensuring(cond: (PropositionalLogic) ⇒ Boolean, msg: ⇒ Any): PropositionalLogic

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to Ensuring[PropositionalLogic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: (PropositionalLogic) ⇒ Boolean): PropositionalLogic

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to Ensuring[PropositionalLogic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. def ensuring(cond: Boolean, msg: ⇒ Any): PropositionalLogic

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to Ensuring[PropositionalLogic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  20. def ensuring(cond: Boolean): PropositionalLogic

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to Ensuring[PropositionalLogic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  21. final def eq(arg0: AnyRef): Boolean

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    Tests whether the argument (that) is a reference to the receiver object (this).

    Tests whether the argument (that) is a reference to the receiver object (this).

    The eq method implements an equivalence relation on non-null instances of AnyRef, and has three additional properties:

    • It is consistent: for any non-null instances x and y of type AnyRef, multiple invocations of x.eq(y) consistently returns true or consistently returns false.
    • For any non-null instance x of type AnyRef, x.eq(null) and null.eq(x) returns false.
    • null.eq(null) returns true.

    When overriding the equals or hashCode methods, it is important to ensure that their behavior is consistent with reference equality. Therefore, if two objects are references to each other (o1 eq o2), they should be equal to each other (o1 == o2) and they should hash to the same value (o1.hashCode == o2.hashCode).

    returns

    true if the argument is a reference to the receiver object; false otherwise.

    Definition Classes
    AnyRef
  22. def equals(arg0: Any): Boolean

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    The equality method for reference types.

    The equality method for reference types. Default implementation delegates to eq.

    See also equals in scala.Any.

    returns

    true if the receiver object is equivalent to the argument; false otherwise.

    Definition Classes
    AnyRef → Any
  23. def finalize(): Unit

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    Called by the garbage collector on the receiver object when there are no more references to the object.

    Called by the garbage collector on the receiver object when there are no more references to the object.

    The details of when and if the finalize method is invoked, as well as the interaction between finalize and non-local returns and exceptions, are all platform dependent.

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
    Note

    not specified by SLS as a member of AnyRef

  24. def formatted(fmtstr: String): String

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to StringFormat[PropositionalLogic] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  25. def gatherSymbols(p: Prop): Set[Sym]

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  26. def gatherVariables(p: Prop): Set[Var]

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  27. final def getClass(): Class[_]

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    A representation that corresponds to the dynamic class of the receiver object.

    A representation that corresponds to the dynamic class of the receiver object.

    The nature of the representation is platform dependent.

    returns

    a representation that corresponds to the dynamic class of the receiver object.

    Definition Classes
    AnyRef → Any
    Note

    not specified by SLS as a member of AnyRef

  28. def hashCode(): Int

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    The hashCode method for reference types.

    The hashCode method for reference types. See hashCode in scala.Any.

    returns

    the hash code value for this object.

    Definition Classes
    AnyRef → Any
  29. final def isInstanceOf[T0]: Boolean

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    Test whether the dynamic type of the receiver object is T0.

    Test whether the dynamic type of the receiver object is T0.

    Note that the result of the test is modulo Scala's erasure semantics. Therefore the expression 1.isInstanceOf[String] will return false, while the expression List(1).isInstanceOf[List[String]] will return true. In the latter example, because the type argument is erased as part of compilation it is not possible to check whether the contents of the list are of the specified type.

    returns

    true if the receiver object is an instance of erasure of type T0; false otherwise.

    Definition Classes
    Any
  30. final def ne(arg0: AnyRef): Boolean

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    Equivalent to !(this eq that).

    Equivalent to !(this eq that).

    returns

    true if the argument is not a reference to the receiver object; false otherwise.

    Definition Classes
    AnyRef
  31. final def notify(): Unit

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    Wakes up a single thread that is waiting on the receiver object's monitor.

    Wakes up a single thread that is waiting on the receiver object's monitor.

    Definition Classes
    AnyRef
    Note

    not specified by SLS as a member of AnyRef

  32. final def notifyAll(): Unit

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    Wakes up all threads that are waiting on the receiver object's monitor.

    Wakes up all threads that are waiting on the receiver object's monitor.

    Definition Classes
    AnyRef
    Note

    not specified by SLS as a member of AnyRef

  33. def propToSolvable(p: Prop): Solvable

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  34. def removeVarEq(props: List[Prop], modelNull: Boolean = false): (Prop, List[Prop])

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  35. def simplify(f: Prop): Prop

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    Simplifies propositional formula according to the following rules: - eliminate double negation (avoids unnecessary Tseitin variables) - flatten trees of same connectives (avoids unnecessary Tseitin variables) - removes constants and connectives that are in fact constant because of their operands - eliminates duplicate operands - convert formula into NNF: all sub-expressions have a positive polarity which makes them amenable for the subsequent Plaisted transformation and increases chances to figure out that the formula is already in CNF

    Simplifies propositional formula according to the following rules: - eliminate double negation (avoids unnecessary Tseitin variables) - flatten trees of same connectives (avoids unnecessary Tseitin variables) - removes constants and connectives that are in fact constant because of their operands - eliminates duplicate operands - convert formula into NNF: all sub-expressions have a positive polarity which makes them amenable for the subsequent Plaisted transformation and increases chances to figure out that the formula is already in CNF

    Complexity: DFS over formula tree

    See http://www.decision-procedures.org/slides/propositional_logic-2x3.pdf

  36. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  37. def toString(): String

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    Creates a String representation of this object.

    Creates a String representation of this object. The default representation is platform dependent. On the java platform it is the concatenation of the class name, "@", and the object's hashcode in hexadecimal.

    returns

    a String representation of the object.

    Definition Classes
    AnyRef → Any
  38. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  39. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  40. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  41. def [B](y: B): (PropositionalLogic, B)

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    Implicit information
    This member is added by an implicit conversion from PropositionalLogic to ArrowAssoc[PropositionalLogic] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from PropositionalLogic to any2stringadd[PropositionalLogic]

Inherited by implicit conversion StringFormat from PropositionalLogic to StringFormat[PropositionalLogic]

Inherited by implicit conversion Ensuring from PropositionalLogic to Ensuring[PropositionalLogic]

Inherited by implicit conversion ArrowAssoc from PropositionalLogic to ArrowAssoc[PropositionalLogic]

Ungrouped