Object

at.logic.gapt.examples

Formulas

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object Formulas

Contains some commonly used formulas.

Source
Formulas.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. def CongBinary(rel: String, f: String): FOLFormula

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    rel

    A relation symbol

    f

    A function symbol.

    returns

    A formula expressing that rel is a congruence w.r.t. the binary function symbol f.

  5. def CongBinaryEq(f: String): FOLFormula

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    f

    A function symbol.

    returns

    A formula expressing that = is a congruence w.r.t. the binary function symbol f.

  6. def CongUnary(rel: String, f: String): FOLFormula

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    rel

    A relation symbol.

    f

    A function symbol.

    returns

    A formula expressing that rel is a congruence w.r.t. the unary function symbol f.

  7. def CongUnaryEq(f: String): FOLFormula

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    f

    A function symbol.

    returns

    A formula expressing that = is a congruence w.r.t. the unary function symbol f.

  8. object Peano

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    Contains definitions related to arithmetic.

  9. def Reflexivity(rel: String): FOLFormula

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    rel

    A relation symbol

    returns

    A formula expressing the reflexivity of rel.

  10. def ReflexivityEq: FOLFormula

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    returns

    A formula expressing the reflexivity of =.

  11. def Symmetry(rel: String): FOLFormula

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    rel

    A relation symbol

    returns

    A formula expressing the symmetry of rel.

  12. def SymmetryEq: FOLFormula

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    returns

    A formula expressing the symmetry of =.

  13. def Transitivity(rel: String): FOLFormula

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    rel

    A relation symbol

    returns

    A formula expressing the transitivity of rel.

  14. def TransitivityEq: FOLFormula

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    returns

    A formula expressing the transitivity of =.

  15. final def asInstanceOf[T0]: T0

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  16. def clone(): AnyRef

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

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  18. def equals(arg0: Any): Boolean

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  19. def finalize(): Unit

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

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  21. def hashCode(): Int

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  22. final def isInstanceOf[T0]: Boolean

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  23. final def ne(arg0: AnyRef): Boolean

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  24. final def notify(): Unit

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  25. final def notifyAll(): Unit

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

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  27. def toString(): String

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  28. final def wait(): Unit

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

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

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