Packages

trait TreesAndTypesDomain extends PropositionalLogic with CheckableTreeAndTypeAnalysis

Source
Logic.scala
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Inherited
  1. TreesAndTypesDomain
  2. CheckableTreeAndTypeAnalysis
  3. PropositionalLogic
  4. AnyRef
  5. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
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  2. Protected

Type Members

  1. trait AbsVar extends AnyRef
    Definition Classes
    PropositionalLogic
  2. final case class And(ops: Set[Prop]) extends Prop with Product with Serializable
    Definition Classes
    PropositionalLogic
  3. final case class AtMostOne(ops: List[Sym]) extends Prop with Product with Serializable
    Definition Classes
    PropositionalLogic
  4. final case class Eq(p: Var, q: Const) extends Prop with Product with Serializable
    Definition Classes
    PropositionalLogic
  5. final case class Not(a: Prop) extends Prop with Product with Serializable
    Definition Classes
    PropositionalLogic
  6. final case class Or(ops: Set[Prop]) extends Prop with Product with Serializable
    Definition Classes
    PropositionalLogic
  7. sealed abstract class Prop extends AnyRef
    Definition Classes
    PropositionalLogic
  8. trait PropMap extends AnyRef
    Definition Classes
    PropositionalLogic
  9. trait PropTraverser extends AnyRef
    Definition Classes
    PropositionalLogic
  10. final case class Solution(model: Model, unassigned: List[Sym]) extends Product with Serializable
    Definition Classes
    PropositionalLogic
  11. final class Sym extends Prop
    Definition Classes
    PropositionalLogic
  12. trait TypeConstExtractor extends AnyRef
    Definition Classes
    PropositionalLogic
  13. trait ValueConstExtractor extends AnyRef
    Definition Classes
    PropositionalLogic
  14. trait VarExtractor extends AnyRef
    Definition Classes
    PropositionalLogic
  15. sealed abstract class Const extends AnyRef
  16. type Model = Map[Sym, Boolean]
    Definition Classes
    PropositionalLogic
  17. abstract type Solvable
    Definition Classes
    PropositionalLogic
  18. type Tree = Global.Tree
  19. type Type = Global.Type
  20. sealed class TypeConst extends Const
  21. sealed class ValueConst extends Const
  22. class Var extends AbsVar

Abstract Value Members

  1. abstract val EmptyModel: Model
    Definition Classes
    PropositionalLogic
  2. abstract val NoModel: Model
    Definition Classes
    PropositionalLogic
  3. abstract def eqFreePropToSolvable(f: Prop): Solvable
    Definition Classes
    PropositionalLogic
  4. abstract def findAllModelsFor(solvable: Solvable, sym: Global.Symbol = NoSymbol): List[Solution]
    Definition Classes
    PropositionalLogic
  5. abstract def hasModel(solvable: Solvable): Boolean
    Definition Classes
    PropositionalLogic
  6. abstract def reportWarning(message: String): Unit
    Definition Classes
    PropositionalLogic
  7. abstract val typer: (analyzer)#Typer
  8. abstract def uncheckedWarning(pos: Global.Position, msg: String, site: Global.Symbol): Unit
    Definition Classes
    PropositionalLogic

Concrete Value Members

  1. object AnalysisBudget
    Definition Classes
    PropositionalLogic
  2. object And extends java.io.Serializable
    Definition Classes
    PropositionalLogic
  3. case object False extends Prop with Product with Serializable
    Definition Classes
    PropositionalLogic
  4. object Or extends java.io.Serializable
    Definition Classes
    PropositionalLogic
  5. object Sym
    Definition Classes
    PropositionalLogic
  6. case object True extends Prop with Product with Serializable
    Definition Classes
    PropositionalLogic
  7. def /\(props: Iterable[Prop]): Prop
    Definition Classes
    PropositionalLogic
  8. def \/(props: Iterable[Prop]): Prop
    Definition Classes
    PropositionalLogic
  9. def checkableType(tp: Global.Type): Global.Type
  10. def enumerateSubtypes(tp: Global.Type, grouped: Boolean): List[List[Global.Type]]
  11. def gatherSymbols(p: Prop): Set[Sym]
    Definition Classes
    PropositionalLogic
  12. def gatherVariables(p: Prop): Set[Var]
    Definition Classes
    PropositionalLogic
  13. def prepareNewAnalysis(): Unit
  14. def propToSolvable(p: Prop): Solvable
    Definition Classes
    PropositionalLogic
  15. def removeVarEq(props: List[Prop], modelNull: Boolean = false): (Prop, List[Prop])
    Definition Classes
    PropositionalLogic
  16. def simplify(f: Prop): Prop

    Simplifies propositional formula according to the following rules: - eliminate double negation (avoids unnecessary Tseitin variables) - flatten trees of same connectives (avoids unnecessary Tseitin variables) - removes constants and connectives that are in fact constant because of their operands - eliminates duplicate operands - convert formula into NNF: all sub-expressions have a positive polarity which makes them amenable for the subsequent Plaisted transformation and increases chances to figure out that the formula is already in CNF

    Simplifies propositional formula according to the following rules: - eliminate double negation (avoids unnecessary Tseitin variables) - flatten trees of same connectives (avoids unnecessary Tseitin variables) - removes constants and connectives that are in fact constant because of their operands - eliminates duplicate operands - convert formula into NNF: all sub-expressions have a positive polarity which makes them amenable for the subsequent Plaisted transformation and increases chances to figure out that the formula is already in CNF

    Complexity: DFS over formula tree

    See https://www.decision-procedures.org/slides/propositional_logic-2x3.pdf

    Definition Classes
    PropositionalLogic
  17. def uncheckableType(tp: Global.Type): Boolean
  18. object Const
  19. case object NullConst extends Const with Product with Serializable
  20. object TypeConst extends TypeConstExtractor
  21. object ValueConst extends ValueConstExtractor
  22. object Var extends VarExtractor