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
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Instance Constructors
- new TransformToCnf(symbolMapping: SymbolMapping)
Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- def +(other: String): String
- Implicit
- This member is added by an implicit conversion from TransformToCnf toany2stringadd[TransformToCnf] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
- def ->[B](y: B): (TransformToCnf, B)
- Implicit
- This member is added by an implicit conversion from TransformToCnf toArrowAssoc[TransformToCnf] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def addClauseProcessed(clause: Clause): Unit
- Definition Classes
- CnfBuilder
- def apply(p: CNF.Prop): Solvable
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def buildCnf: Array[Clause]
- Definition Classes
- CnfBuilder
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native()
- def constFalse: Lit
- Definition Classes
- CnfBuilder
- lazy val constTrue: Lit
- Definition Classes
- CnfBuilder
- def convertSym(sym: CNF.Sym): Lit
- def ensuring(cond: (TransformToCnf) => Boolean, msg: => Any): TransformToCnf
- Implicit
- This member is added by an implicit conversion from TransformToCnf toEnsuring[TransformToCnf] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: (TransformToCnf) => Boolean): TransformToCnf
- Implicit
- This member is added by an implicit conversion from TransformToCnf toEnsuring[TransformToCnf] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean, msg: => Any): TransformToCnf
- Implicit
- This member is added by an implicit conversion from TransformToCnf toEnsuring[TransformToCnf] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean): TransformToCnf
- Implicit
- This member is added by an implicit conversion from TransformToCnf toEnsuring[TransformToCnf] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- final def eq(arg0: AnyRef): Boolean
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- def equals(arg0: AnyRef): Boolean
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- def finalize(): Unit
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- def hashCode(): Int
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- @native()
- def isConst(l: Lit): Boolean
- Definition Classes
- CnfBuilder
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- var literalCount: Int
- Definition Classes
- TransformToCnf → CnfBuilder
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def newLiteral(): Lit
- returns
new Tseitin variable
- Definition Classes
- CnfBuilder
- final def notify(): Unit
- Definition Classes
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- final def notifyAll(): Unit
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- def toString(): String
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- final def wait(arg0: Long): Unit
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Deprecated Value Members
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from TransformToCnf toStringFormat[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 ofvalue.formatted(formatString)
, or use thef""
string interpolator. In Java 15 and later,formatted
resolves to the new method in String which has reversed parameters.
- def →[B](y: B): (TransformToCnf, B)
- Implicit
- This member is added by an implicit conversion from TransformToCnf toArrowAssoc[TransformToCnf] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @deprecated
- Deprecated
(Since version 2.13.0) Use
->
instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.
The Scala compiler and reflection APIs.