Packages

object AxIndex extends (Expression) ⇒ List[DerivationInfo] with Logging

Central Axiom Indexing data structures for canonical proof strategies, including UnifyUSCalculus.chase, UnifyUSCalculus.chaseFor() and TactixLibrary.step and TactixLibrary.stepAt.

Note

Could be generated automatically, yet better in a precomputation fashion, not on the fly.

See also

Andre Platzer. A complete uniform substitution calculus for differential dynamic logic. Journal of Automated Reasoning, 59(2), pp. 219-266, 2017.

edu.cmu.cs.ls.keymaerax.core.AxiomBase

edu.cmu.cs.ls.keymaerax.btactics.macros.AxiomInfo

edu.cmu.cs.ls.keymaerax.btactics.UnifyUSCalculus.chase()

edu.cmu.cs.ls.keymaerax.btactics.UnifyUSCalculus.chaseFor()

TactixLibrary.step

TactixLibrary.sequentStepIndex

Linear Supertypes
Logging, LazyLogging, LoggerHolder, (Expression) ⇒ List[DerivationInfo], AnyRef, Any
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Inherited
  1. AxIndex
  2. Logging
  3. LazyLogging
  4. LoggerHolder
  5. Function1
  6. AnyRef
  7. Any
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Type Members

  1. type AxiomIndex = (PosInExpr, List[PosInExpr])

    AxiomIndex (key,recursor) where the key identifies the subformula used for matching and the recursors lists resulting siblings for subsequent chase.

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def andThen[A](g: (List[DerivationInfo]) ⇒ A): (Expression) ⇒ A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  5. def apply(expr: Expression): List[DerivationInfo]

    lookup canonical axioms or tactics for an expression (index)

    lookup canonical axioms or tactics for an expression (index)

    Definition Classes
    AxIndex → Function1
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def axiomFor(expr: Expression): Option[ProvableInfo]

    Give the first canonical (derived) axiom or tactic that simplifies the expression expr.

    Give the first canonical (derived) axiom or tactic that simplifies the expression expr.

    See also

    axiomsFor()

  8. def axiomIndex(axiom: ProvableInfo): AxiomIndex

    Return (derived) axiom index with key for matching and list of recursors on other sibling, i.e., for chasing after useAt/useFor.

    Return (derived) axiom index with key for matching and list of recursors on other sibling, i.e., for chasing after useAt/useFor.

    To do

    copy documentation from chase

    See also

    edu.cmu.cs.ls.keymaerax.btactics.UnifyUSCalculus.chase()

    edu.cmu.cs.ls.keymaerax.btactics.UnifyUSCalculus.chaseFor()

    AxiomInfo.theKey

    AxiomInfo.theRecursor

    edu.cmu.cs.ls.keymaerax.btactics.macros.Axiom

  9. def axiomsFor(expr: Expression): List[ProvableInfo]

    Return ordered list of all canonical (derived) axioms or tactics that simplify the expression expr.

    Return ordered list of all canonical (derived) axioms or tactics that simplify the expression expr.

    See also

    axiomFor()

  10. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  11. def compose[A](g: (A) ⇒ Expression): (A) ⇒ List[DerivationInfo]
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  12. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  14. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  15. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  16. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  17. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  18. lazy val logger: Logger
    Attributes
    protected
    Definition Classes
    LazyLogging → LoggerHolder
  19. final val loggerName: String
    Attributes
    protected
    Definition Classes
    LoggerHolder
  20. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  21. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  23. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  24. def toString(): String
    Definition Classes
    Function1 → AnyRef → Any
  25. def verboseAxiomsFor(expr: Expression): List[ProvableInfo]

    Descend into formulas and terms with stuttering.

  26. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  27. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  28. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )

Inherited from Logging

Inherited from LazyLogging

Inherited from LoggerHolder

Inherited from (Expression) ⇒ List[DerivationInfo]

Inherited from AnyRef

Inherited from Any

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