Scala Compiler2.12.5 < Back
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# Packages

-  package root

  The Scala compiler and reflection APIs.

  The Scala compiler and reflection APIs.

  Definition Classes
    root
-  package scala
  Definition Classes
    root
-  package tools
  Definition Classes
    scala
-  package nsc
  Definition Classes
    tools
-  package transform
  Definition Classes
    nsc
-  package patmat
  Definition Classes
    transform
-  trait Solving extends Logic

  Solve pattern matcher exhaustivity problem via DPLL.

  Solve pattern matcher exhaustivity problem via DPLL.

  Definition Classes
    patmat
-  trait CNF extends PropositionalLogic
  Definition Classes
    Solving
- AbsVar
- AlreadyInCNF
- AnalysisBudget
- And
- AtMostOne
- CnfBuilder
- Const
- Eq
- False
- Not
- Or
- Prop
- PropMap
- PropTraverser
- Solution
- Solvable
- Sym
- SymbolMapping
- TransformToCnf
- Tree
- True
- Type
- TypeConst
- TypeConstExtractor
- ValueConst
- ValueConstExtractor
- Var
- VarExtractor

c

scala.tools.nsc.transform.patmat.Solving.CNF

# TransformToCnf 

###

#### 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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Ordering

1. Alphabetic
2. By Inheritance

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[java.lang]
    Definition Classes
      AnyRef
    Annotations
      @native() @throws( ... )
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[java.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
      @native() @throws( ... )
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