case class SkolemFunctions(skolemDefs: Map[Const, Expr]) extends Product with Serializable
List of definitions of Skolem symbols.
A Skolem definition is similar but slightly different from the epsilon operator:
Syntactically it is a map s_i → λx_1 .. λx_n Qy φ(x_1, .., x_n, y), where Q is a quantifier. Then s_i(x_1, .., x_n) is the Skolem term used for the formula Qy φ(x_1, .., x_n, y), where Qy is strong.
This Skolem term corresponds to the epsilon term εy φ(x_1, .., x_n, y) or εy ¬φ(x_1, .., x_n), depending on whether Q is ∃ or ∀. The reason we don't use epsilon terms directly is that this makes it impossible to deskolemize a formula based on just the Skolem definitions: for example both ∃x ∀y φ and ∃x ¬∃y¬ φ would define their Skolem functions using the same epsilon terms.
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- SkolemFunctions.scala
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ensuring(cond: (SkolemFunctions) ⇒ Boolean, msg: ⇒ Any): SkolemFunctions
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- This member is added by an implicit conversion from SkolemFunctions to Ensuring[SkolemFunctions] performed by method Ensuring in scala.Predef.
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ensuring(cond: (SkolemFunctions) ⇒ Boolean): SkolemFunctions
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→[B](y: B): (SkolemFunctions, B)
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- This member is added by an implicit conversion from SkolemFunctions to any2stringadd[SkolemFunctions] performed by method any2stringadd in scala.Predef.
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To access this member you can use a type ascription:(skolemFunctions: any2stringadd[SkolemFunctions]).+(other)
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This is the API documentation for GAPT.
The main package is at.logic.gapt.