Packages

class TransformToCnf extends CnfBuilder

Plaisted transformation: used for conversion of a propositional formula into conjunctive normal form (CNF) (input format for SAT solver). A simple conversion into CNF via Shannon expansion would also be possible but it's worst-case complexity is exponential (in the number of variables) and thus even simple problems could become untractable. The Plaisted transformation results in an _equisatisfiable_ CNF-formula (it generates auxiliary variables) but runs with linear complexity. The common known Tseitin transformation uses bi-implication, whereas the Plaisted transformation uses implication only, thus the resulting CNF formula has (on average) only half of the clauses of a Tseitin transformation. The Plaisted transformation uses the polarities of sub-expressions to figure out which part of the bi-implication can be omitted. However, if all sub-expressions have positive polarity (e.g., after transformation into negation normal form) then the conversion is rather simple and the pseudo-normalization via NNF increases chances only one side of the bi-implication is needed.

Source
Solving.scala
Linear Supertypes
CnfBuilder, AnyRef, Any
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Inherited
  1. TransformToCnf
  2. CnfBuilder
  3. AnyRef
  4. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new TransformToCnf(symbolMapping: SymbolMapping)

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from TransformToCnf to any2stringadd[TransformToCnf] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (TransformToCnf, B)
    Implicit
    This member is added by an implicit conversion from TransformToCnf to ArrowAssoc[TransformToCnf] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def addClauseProcessed(clause: Clause): Unit
    Definition Classes
    CnfBuilder
  7. def apply(p: CNF.Prop): Solvable
  8. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  9. def buildCnf: Array[Clause]
    Definition Classes
    CnfBuilder
  10. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  11. def constFalse: Lit
    Definition Classes
    CnfBuilder
  12. lazy val constTrue: Lit
    Definition Classes
    CnfBuilder
  13. def convertSym(sym: CNF.Sym): Lit
  14. def ensuring(cond: (TransformToCnf) ⇒ Boolean, msg: ⇒ Any): TransformToCnf
    Implicit
    This member is added by an implicit conversion from TransformToCnf to Ensuring[TransformToCnf] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: (TransformToCnf) ⇒ Boolean): TransformToCnf
    Implicit
    This member is added by an implicit conversion from TransformToCnf to Ensuring[TransformToCnf] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean, msg: ⇒ Any): TransformToCnf
    Implicit
    This member is added by an implicit conversion from TransformToCnf to Ensuring[TransformToCnf] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean): TransformToCnf
    Implicit
    This member is added by an implicit conversion from TransformToCnf to Ensuring[TransformToCnf] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  20. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  21. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  22. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  23. def isConst(l: Lit): Boolean
    Definition Classes
    CnfBuilder
  24. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  25. var literalCount: Int
    Definition Classes
    TransformToCnf → CnfBuilder
  26. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  27. def newLiteral(): Lit

    returns

    new Tseitin variable

    Definition Classes
    CnfBuilder
  28. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  29. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  30. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  31. def toString(): String
    Definition Classes
    AnyRef → Any
  32. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  33. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  34. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  35. def →[B](y: B): (TransformToCnf, B)
    Implicit
    This member is added by an implicit conversion from TransformToCnf to ArrowAssoc[TransformToCnf] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Deprecated Value Members

  1. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from TransformToCnf to StringFormat[TransformToCnf] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @deprecated @inline()
    Deprecated

    (Since version 2.12.16) Use formatString.format(value) instead of value.formatted(formatString), or use the f"" string interpolator. In Java 15 and later, formatted resolves to the new method in String which has reversed parameters.

Inherited from CnfBuilder

Inherited from AnyRef

Inherited from Any

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

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

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

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

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