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 formulas

Contains all the formulas 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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  4. final def asInstanceOf[T0]: T0
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  5. def clone(): AnyRef
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    protected[lang]
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    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  6. val conclusion0: Formula
  7. val conclusion1: Formula
  8. val conclusion2: Formula
  9. final def eq(arg0: AnyRef): Boolean
    Definition Classes
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  10. def equals(arg0: AnyRef): Boolean
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  11. val f1: Formula
  12. val f2: Formula
  13. val f3: Formula
  14. val f4: Formula
  15. final def getClass(): Class[_ <: AnyRef]
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  16. def hashCode(): Int
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  17. final def isInstanceOf[T0]: Boolean
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  18. final def ne(arg0: AnyRef): Boolean
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  19. final def notify(): Unit
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  20. final def notifyAll(): Unit
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    @native() @IntrinsicCandidate()
  21. val s1: String
  22. val s2: String
  23. val s3: String
  24. val s4: String
  25. val s5: String
  26. val s6: String
  27. val s7: String
  28. val sc: String
  29. val sc1: String
  30. val sc2: String
  31. implicit val signature: LLKSignature
  32. final def synchronized[T0](arg0: => T0): T0
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  33. def toString(): String
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  34. val w1: Formula
  35. val w2: Formula
  36. val w3: Formula
  37. final def wait(arg0: Long, arg1: Int): Unit
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    @throws(classOf[java.lang.InterruptedException])
  38. final def wait(arg0: Long): Unit
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  39. final def wait(): Unit
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    @throws(classOf[java.lang.InterruptedException])

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  1. def finalize(): Unit
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