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at.logic.gapt.examples

UniformAssociativity3ExampleProof

object UniformAssociativity3ExampleProof extends ProofSequence

Source
ProofSequences.scala
Linear Supertypes
ProofSequence, AnyRef, Any
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Inherited
  1. UniformAssociativity3ExampleProof
  2. ProofSequence
  3. AnyRef
  4. Any
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Visibility
  1. Public
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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. val Ax1: FOLFormula
  5. val Cs: FOLFormula
  6. val Symm: FOLFormula
  7. val Trans: FOLFormula
  8. def addAllAxioms(proof: LKProof): LKProof
  9. def apply(n: Int): LKProof
    Definition Classes
    UniformAssociativity3ExampleProof → ProofSequence
  10. def apply_conditional_equality(equalities: List[FOLFormula], result: FOLFormula, p: LKProof): LKProof
  11. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  12. def ax2_ax(x: FOLTerm, y: FOLTerm): FOLFormula
  13. def ax2_ax(x: FOLTerm): FOLFormula
  14. def ax2_ax(): FOLFormula
  15. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  16. val cp: AllQuantifiedConditionalAxiomHelper
  17. def cs_ax(x: FOLTerm, y: FOLTerm): FOLFormula
  18. def cs_ax(x: FOLTerm): FOLFormula
  19. def cs_ax(): FOLFormula
  20. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  21. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  22. def f1(sym: String, arg: FOLTerm): FOLTerm
  23. def f2(arg1: FOLTerm, sym: String, arg2: FOLTerm): FOLTerm
  24. def f2(sym: String, arg1: FOLTerm, arg2: FOLTerm): FOLTerm
  25. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  26. def gen_proof_step(i: Int, n: Int): LKProof

    * Returns proof Pi (currently including line above and below Pi), with numerals n, i, i+1: (n + n) + i+1 = n + (n + i+1), Ax |- ...

    * Returns proof Pi (currently including line above and below Pi), with numerals n, i, i+1: (n + n) + i+1 = n + (n + i+1), Ax |- ... Pi (n + n) + i = n + (n + i), Ax |- ...

  27. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  28. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  29. def induction_start(n: Int, p0: LKProof): LKProof

    Close off proof ending in (n + n) + 0 = n + (n + 0) |- ...

  30. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  31. def name: String
    Definition Classes
    ProofSequence
  32. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  33. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  34. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  35. val p: String
  36. def refl_ax(x: FOLTerm, y: FOLTerm): FOLFormula
  37. def refl_ax(x: FOLTerm): FOLFormula
  38. def refl_ax(): FOLFormula
  39. def reflect(x: FOLTerm, y: FOLTerm, p: LKProof): LKProof

    Takes a proof s2 with end-sequent of the form (x=y), ...

    Takes a proof s2 with end-sequent of the form (x=y), ... |- ... and return one with end-sequent of the form (y=x), ... |- ...

  40. val s: String
  41. def show_by_ax2(x: FOLTerm, y: FOLTerm, p: LKProof): LKProof
  42. def show_by_cs(x: FOLTerm, y: FOLTerm, p: LKProof): LKProof
  43. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  44. def toString(): String
    Definition Classes
    AnyRef → Any
  45. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  47. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  48. val x: FOLVar
  49. val x1: FOLVar
  50. val x2: FOLVar
  51. val y: FOLVar
  52. val y1: FOLVar
  53. val y2: FOLVar
  54. val z: FOLVar

Inherited from ProofSequence

Inherited from AnyRef

Inherited from Any

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