Packages

  • package root

    This is the API documentation for GAPT.

    This is the API documentation for GAPT.

    The main package is gapt.

    Definition Classes
    root
  • package gapt
    Definition Classes
    root
  • package examples
    Definition Classes
    gapt
  • object nTape6

    The object nTape6 generates hard problems for higher order theorem provers containing an axiomatization of if-then-else.

    The object nTape6 generates hard problems for higher order theorem provers containing an axiomatization of if-then-else. Formulas: f1,f2 ... if-then-else axiomatizations f3,f4 ... properties of the successor function (0 is no successor and a number is always different from its successor) conclusion0 ... there exists a function h s.t. h(0) = 1, h(1) = 0 conclusion1 ... there exists a function h s.t. h(0) = 1, h(1) = 0, h(2) = 0 conclusion2 ... there exists a function h s.t. h(0) = 1, h(1) = 0, h(2) = 1 w1 ... witness for sc w2 ... witness for sc2

    The problems are (in sequent notation):

    P0: f1, f2 :- conclusion0 P1: f1, f2, f3, f4 :- conclusion1 P2: f1, f2, f3, f4 :- conclusion2

    The generated filenames are "ntape6-i-without-witness.tptp" for i = 0 to 2.

    To show that there are actual witnesses for the function h, we provide a witness, where the witness w1 can be used for both W0 and W1:

    W0: { w1 :- } x P0 W1: { w1 :- } x P1 W2: { w2 :- } x P2

    The generated filenames are "ntape6-i-with-witness.tptp" for i = 0 to 2.

    Definition Classes
    examples
  • formulas
  • sequents

object sequents

Contains all the conjecture sequents used.

Source
nTape6.scala
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  1. final def !=(arg0: Any): Boolean
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  2. final def ##: Int
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  3. final def ==(arg0: Any): Boolean
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    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  6. val consistent: Sequent[Formula]
  7. val cuts0a: Sequent[Formula]
  8. val cuts0b: Sequent[Formula]
  9. final def eq(arg0: AnyRef): Boolean
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  10. def equals(arg0: AnyRef): Boolean
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  11. final def getClass(): Class[_ <: AnyRef]
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  14. final def ne(arg0: AnyRef): Boolean
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  16. final def notifyAll(): Unit
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    @native() @IntrinsicCandidate()
  17. val s0a: Sequent[Formula]
  18. val s0b: Sequent[Formula]
  19. val s1a: Sequent[Formula]
  20. val s1b: Sequent[Formula]
  21. val s1c: Sequent[Formula]
  22. val s1d: Sequent[Formula]
  23. val s2b: Sequent[Formula]
  24. val s2c: Sequent[Formula]
  25. val s2d: Sequent[Formula]
  26. val s2e: Sequent[Formula]
  27. final def synchronized[T0](arg0: => T0): T0
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  31. final def wait(): Unit
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