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.
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- Solving.scala
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Instance Constructors
- new TransformToCnf(symbolMapping: SymbolMapping)
Value Members
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final
def
!=(arg0: Any): Boolean
- Definition Classes
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final
def
##(): Int
- Definition Classes
- AnyRef → Any
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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
-
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.
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- ArrowAssoc
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- @inline()
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final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
def
addClauseProcessed(clause: Clause): Unit
- Definition Classes
- CnfBuilder
- def apply(p: CNF.Prop): Solvable
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final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
-
def
buildCnf: Array[Clause]
- Definition Classes
- CnfBuilder
-
def
clone(): AnyRef
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- protected[java.lang]
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- @native() @throws( ... )
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def
constFalse: Lit
- Definition Classes
- CnfBuilder
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lazy val
constTrue: Lit
- Definition Classes
- CnfBuilder
- def convertSym(sym: CNF.Sym): Lit
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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
-
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
-
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
-
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
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final
def
eq(arg0: AnyRef): Boolean
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def
equals(arg0: Any): Boolean
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def
finalize(): Unit
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- @throws( classOf[java.lang.Throwable] )
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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
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- @inline()
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final
def
getClass(): Class[_]
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def
hashCode(): Int
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def
isConst(l: Lit): Boolean
- Definition Classes
- CnfBuilder
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final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
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var
literalCount: Int
- Definition Classes
- TransformToCnf → CnfBuilder
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final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
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def
newLiteral(): Lit
- returns
new Tseitin variable
- Definition Classes
- CnfBuilder
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final
def
notify(): Unit
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final
def
notifyAll(): Unit
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final
def
synchronized[T0](arg0: ⇒ T0): T0
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def
toString(): String
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final
def
wait(): Unit
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final
def
wait(arg0: Long, arg1: Int): Unit
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final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
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- @native() @throws( ... )
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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
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