Packages

case class Cut(c: Formula) extends Rule with Product with Serializable

Cut in the given formula c to use c on the first branch and proving c on the second branch.

G, c |- D     G |- D, c
----------------------- (cut)
        G |- D

The ordering of premises is optimistic, i.e., the premise using the cut-in formula c comes before the one proving c.

Note

c will be added at the end on the subgoals

Linear Supertypes
Serializable, Serializable, Product, Equals, Rule, (Sequent) ⇒ List[Sequent], AnyRef, Any
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Cut
  2. Serializable
  3. Serializable
  4. Product
  5. Equals
  6. Rule
  7. Function1
  8. AnyRef
  9. Any
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. All

Instance Constructors

  1. new Cut(c: Formula)

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[Sequent]) ⇒ A): (Sequent) ⇒ A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  5. def apply(s: Sequent): List[Sequent]

    cut in the given formula c

    cut in the given formula c

    Definition Classes
    Cut → Function1
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. val c: Formula
  8. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  9. def compose[A](g: (A) ⇒ Sequent): (A) ⇒ List[Sequent]
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  10. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  11. def finalize(): scala.Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  12. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  13. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  14. val name: String

    Name of this proof rule

    Name of this proof rule

    Definition Classes
    CutRule
  15. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. final def notify(): scala.Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  17. final def notifyAll(): scala.Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  18. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  19. def toString(): String
    Definition Classes
    Rule → Function1 → AnyRef → Any
  20. final def wait(): scala.Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  21. final def wait(arg0: Long, arg1: Int): scala.Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  22. final def wait(arg0: Long): scala.Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )

Inherited from Serializable

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from Rule

Inherited from (Sequent) ⇒ List[Sequent]

Inherited from AnyRef

Inherited from Any

Ungrouped