case class SequentialInductionAxioms(vsel: VariableSelector = allVariablesSelector( _ )( _ ), fsel: FormulaSelector = firstFormulaSelector( _ )) extends AxiomFactory with Product with Serializable
Generates sequential induction axioms.
- vsel
The variables for which an induction axiom is generated.
- fsel
The formula of a sequent for which induction axioms are generated.
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Instance Constructors
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new
SequentialInductionAxioms(vsel: VariableSelector = allVariablesSelector( _ )( _ ), fsel: FormulaSelector = firstFormulaSelector( _ ))
- vsel
The variables for which an induction axiom is generated.
- fsel
The formula of a sequent for which induction axioms are generated.
Value Members
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final
def
!=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
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final
def
##(): Int
- Definition Classes
- AnyRef → Any
-
def
+(other: String): String
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to any2stringadd[SequentialInductionAxioms] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
-
def
->[B](y: B): (SequentialInductionAxioms, B)
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to ArrowAssoc[SequentialInductionAxioms] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
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final
def
:/\:(otherFactory: AxiomFactory): AxiomFactory
- Definition Classes
- AxiomFactory
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final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
def
apply(sequent: Sequent[(String, Formula)])(implicit ctx: MutableContext): ThrowsError[List[Axiom]]
Computes sequential induction axioms for a sequent.
Computes sequential induction axioms for a sequent.
- sequent
The sequent for which the axioms are generated.
- ctx
The context defining types, constants, etc.
- returns
Failure if the one of the given variables is not of inductive type. Otherwise a list of induction axioms of the form: ∀A∀{X < x}( IC(x,c1) ∧ ... ∧ IC(x,cl) -> ∀x∀{X > x}∀{X'}F ), where the input variables are X the input formula is of the form F' = ∀{X U X'}F FV(F') = A x in X {X < x} and {X > x} are subsets of X containing all variables with index smaller/greater than the index of x.
- Definition Classes
- SequentialInductionAxioms → AxiomFactory
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final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
-
def
clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
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- Annotations
- @native() @HotSpotIntrinsicCandidate() @throws( ... )
-
def
ensuring(cond: (SequentialInductionAxioms) ⇒ Boolean, msg: ⇒ Any): SequentialInductionAxioms
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to Ensuring[SequentialInductionAxioms] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: (SequentialInductionAxioms) ⇒ Boolean): SequentialInductionAxioms
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to Ensuring[SequentialInductionAxioms] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean, msg: ⇒ Any): SequentialInductionAxioms
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to Ensuring[SequentialInductionAxioms] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean): SequentialInductionAxioms
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to Ensuring[SequentialInductionAxioms] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
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final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def forAllVariables: SequentialInductionAxioms
- def forFormula(formula: Formula): SequentialInductionAxioms
- def forLabel(label: String): SequentialInductionAxioms
- def forVariables(variables: Var*): SequentialInductionAxioms
- def forVariables(variables: List[Var]): SequentialInductionAxioms
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def
formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to StringFormat[SequentialInductionAxioms] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
- val fsel: FormulaSelector
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final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
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final
def
isInstanceOf[T0]: Boolean
- Definition Classes
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final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
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final
def
notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
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final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
- val vsel: VariableSelector
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final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @throws( ... )
-
final
def
wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
def
→[B](y: B): (SequentialInductionAxioms, B)
- Implicit
- This member is added by an implicit conversion from SequentialInductionAxioms to ArrowAssoc[SequentialInductionAxioms] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
This is the API documentation for GAPT.
The main package is gapt.