o

gapt.expr.formula.fol

reduceHolToFol

object reduceHolToFol

Creates a FOL formula from a HOL formula, but applies transformations which do _not_ preserve validity! Transformations applied:

  • Replace all subterms (\x.t[v]) by a function q_n(v). The scope parameter is needed to pass existing term-constant mappings.
  • Change the type of constants and variables s.t. they are first order (i.e. Const("c", To->Ti) is mapped to FOLConst("c",Ti)
  • Logical operators inside the term structure are replaced by first order terms
Source
hol2fol.scala
Note

Make sure you need all of these tricks. To only replace abstraction subterms, use replaceAbstractions.

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  1. final def !=(arg0: Any): Boolean
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  4. def apply(term: Expr)(implicit definition: Hol2FolDefinitions): FOLExpression

    Apply method for a an expression when scope needs to passed on in a recursion.

    Apply method for a an expression when scope needs to passed on in a recursion.

    term

    the expression to convert

    returns

    a pair of the reduced expression and the updated scope

  5. def apply(formula: Formula)(implicit definition: Hol2FolDefinitions): FOLFormula

    Apply method for a formula when scope needs to passed on in a recursion.

    Apply method for a formula when scope needs to passed on in a recursion.

    formula

    the formula to convert

    returns

    a pair of the reduced formula and the updated scope

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