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
Ordering
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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. 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
    @inline()
  22. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  23. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  24. def isConst(l: Lit): Boolean
    Definition Classes
    CnfBuilder
  25. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  26. var literalCount: Int
    Definition Classes
    TransformToCnf → CnfBuilder
  27. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  28. def newLiteral(): Lit

    returns

    new Tseitin variable

    Definition Classes
    CnfBuilder
  29. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  30. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  31. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  32. def toString(): String
    Definition Classes
    AnyRef → Any
  33. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  34. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  35. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  36. 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

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]

Ungrouped