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at.logic.gapt.examples

FactorialFunctionEqualityExampleProof

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object FactorialFunctionEqualityExampleProof extends ProofSequence

Proof of f(n) = g(n, 1), where f is the head recursive and g the tail recursive formulation of the factorial function

Source
ProofSequences.scala
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  1. FactorialFunctionEqualityExampleProof
  2. ProofSequence
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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. def apply(n: Int): LKProof

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  5. final def asInstanceOf[T0]: T0

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  6. val assoc_mul_axiom: AllQuantifiedConditionalAxiomHelper

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  7. def clone(): AnyRef

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    @throws( ... )
  8. val compat_mul_axiom: AllQuantifiedConditionalAxiomHelper

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  9. final def eq(arg0: AnyRef): Boolean

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  10. def equals(arg0: Any): Boolean

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  11. val f: String

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  12. def f1(sym: String, arg: FOLTerm): FOLTerm

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  13. def f2(arg1: FOLTerm, sym: String, arg2: FOLTerm): FOLTerm

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  14. def f2(sym: String, arg1: FOLTerm, arg2: FOLTerm): FOLTerm

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  15. val f_ax_1: FOLAtom

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  16. val f_ax_2: FOLFormula

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  17. def finalize(): Unit

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  18. val g: String

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  19. val g_ax_1: AllQuantifiedConditionalAxiomHelper

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  20. val g_ax_2: FOLFormula

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  21. val g_compat_2: AllQuantifiedConditionalAxiomHelper

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  22. final def getClass(): Class[_]

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  23. def hashCode(): Int

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  24. def induction_steps(n: Int): LKProof

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  25. final def isInstanceOf[T0]: Boolean

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  26. val m: String

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  27. val mul_neutral_axiom: AllQuantifiedConditionalAxiomHelper

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  28. val mul_neutral_axiom_2: AllQuantifiedConditionalAxiomHelper

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  29. def name: String

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    Definition Classes
    ProofSequence
  30. final def ne(arg0: AnyRef): Boolean

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  31. final def notify(): Unit

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  32. final def notifyAll(): Unit

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  33. val p: String

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  34. val refl_axiom: AllQuantifiedConditionalAxiomHelper

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  35. val s: String

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  36. val symm_axiom: FOLFormula

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  37. final def synchronized[T0](arg0: ⇒ T0): T0

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  38. def toString(): String

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  39. val trans_axiom: AllQuantifiedConditionalAxiomHelper

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  40. final def wait(): Unit

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  41. final def wait(arg0: Long, arg1: Int): Unit

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  42. final def wait(arg0: Long): Unit

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  43. val x: FOLVar

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  44. val y: FOLVar

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  45. val z: FOLVar

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Inherited from ProofSequence

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