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at.logic.gapt.expr.hol

normalizeFreeVariables

Related Doc: package hol

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object normalizeFreeVariables

Source
utils.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 apply(f: LambdaExpression, freshName: () ⇒ String): (LambdaExpression, Substitution)

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    Works exactly like normalizeFreeVaribles(f:LambdaExpression) but allows the specification of your own name generator.

    Works exactly like normalizeFreeVaribles(f:LambdaExpression) but allows the specification of your own name generator. Please note that such a normalized formula is still only unique up to alpha equality. Compare for example (all y P(x,y)) with (all x_{0} P(x,x_{0}): the first normalizes to (all y P(x_{0},y) whereas the second normalizes to (all x_{0}1 P(x_{0},x_{0}1)).

    f

    the formula to be normalized

    freshName

    a function which generates a fresh name every call.

    returns

    a pair (g,sub) such that g = sub(f). reversing sub allows to restore the original variables.

  5. def apply(f: HOLFormula, freshName: () ⇒ String): (HOLFormula, Substitution)

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    Works exactly like normalizeFreeVaribles(f:Formula) but allows the specification of your own name generator.

    Works exactly like normalizeFreeVaribles(f:Formula) but allows the specification of your own name generator. Please note that such a normalized formula is still only unique up to alpha equality. Compare for example (all y P(x,y)) with (all x_{0} P(x,x_{0}): the first normalizes to (all y P(x_{0},y whereas the second normalizes to (all x_{0}1 P(x_{0},x_{0}1).

    f

    the formula to be normalized

    freshName

    a function which generates a fresh name every call.

    returns

    a pair (g,sub) such that g = sub(f). reversing sub allows to restore the original variables.

  6. def apply(f: LambdaExpression): (LambdaExpression, Substitution)

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    Systematically renames the free variables by their left-to-right occurence in a HOL Expression f to x_{i} where all x_{i} are different from the names of all bound variables in the term.

    Systematically renames the free variables by their left-to-right occurence in a HOL Expression f to x_{i} where all x_{i} are different from the names of all bound variables in the term. I.e. reversing the substitution yields the syntactically same formula.

    f

    the expression to be normalized

    returns

    a pair (g,sub) such that g = sub(f). reversing sub allows to restore the original variables.

  7. def apply(f: HOLFormula): (HOLFormula, Substitution)

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    Systematically renames the free variables by their left-to-right occurence in a HOL Formula f to x_{i} where all x_{i} are different from the names of all bound variables in the term.

    Systematically renames the free variables by their left-to-right occurence in a HOL Formula f to x_{i} where all x_{i} are different from the names of all bound variables in the term. I.e. reversing the substitution yields the syntactically same formula.

    f

    the formula to be normalized

    returns

    a pair (g,sub) such that g = sub(f). reversing sub allows to restore the original variables.

  8. final def asInstanceOf[T0]: T0

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  9. def clone(): AnyRef

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  11. def equals(arg0: Any): Boolean

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  12. def finalize(): Unit

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  15. final def isInstanceOf[T0]: Boolean

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

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  18. final def notifyAll(): Unit

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

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