… In Hilbert’s Program, the epsilon terms play the role of ideal elements; the aim of Hilbert’s …
terms from a formal proof. The procedures by which this is to be carried out are based on …

… If we think of the question on the meaning of epsilon terms as a … After Hilbert's statement,
we can formulate the main naïve … proof in the context of automated theorem proving. In the …

… In [12], a formalization is made that is similar to Hilbert’s … of ε-terms as defined by Hilbert and
Bernays. With this definition… tions as for those introduced by Hilbert and Bernays: In any case …

… Hilbert (cf. [6]). It is a successive approximation process providing numerical realizations from
proofs of existential formulas. The language uses epsilon terms … canonical epsilon-terms (…

… Hilbert’s ε-calculus is primarily a classical formalism, and we … automated theorem proving.
The complexity of the epsilon … that all epsilon terms of the same form occurring in a proof are …

… -inference proof system for first-order predicate logic in the language of Hilbert’s epsiloncalculus.
It uses a new inference rule, the falsifier rule, to introduce epsilon-terms into a proof, …

… Using the epsilon terms, quantifiers can now be eliminated from proofs in quantificational …
the epsilon terms. In his Leipzig talk of September 1922, published in 1923, Hilbert discussed …

… of quantifiers in first-order formulas via Hilbert’s epsilon-operator (or -… of epsilon-terms.
This elimination has its first explicit occurrence in the proof of the first epsilon-theorem in Hilbert–…

… meaning of sentences containing epsilon-terms, adopting the … completeness proof in the
context of automated theorem proving… epsilon-terms, Ackermann, Hilbert and Bernays were able …

… in first-order automated theorem proving: Firstly we want to know whether it is possible to
render a formalization of Hilbert’s ε-calculus that is suitable and effective for proof search. The …