object ETSkolemQuantifier
Expansion tree for a strong quantifier, containing a Skolem term.
As an example let us consider an expansion proof of ∀z P(c,z) :- ∃x ∀y P(x,y).
For Skolemization we introduce the Skolem function s_1
(for the single strong quantifier), this function
has the Skolem definition λx ∀y P(x,y)
(see gapt.logic.hol.SkolemFunctions for details).
The natural expansion proof has the deep formula P(c,s_1(c)) :- P(c,s_1(c))
, so we need a Skolem node with the
shallow formula ∀y P(c,y)
, and deep formula P(c,s_1(c))
. This Skolem node is constructed as
ETSkolemQuantifier(∀y P(c,y), s_1(c), λx ∀y P(x,y), ETAtom(P(c,s_1(c)), InSuc))
.
- Source
- trees.scala
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This is the API documentation for GAPT.
The main package is gapt.