The First-Order Syntax of Variadic Functions

Details The First-Order Syntax of Variadic Functions The First-Order Syntax of Variadic Functions

2011-05-20

arxiv.org/abs/1105.4135v2

Mathematics

Logic

15 pages, 1 table

Scientific paper

We extend first-order logic to include variadic function symbols, and prove a
substitution lemma. Two applications are given: one to bounded quantifier
elimination and one to the definability of certain Borel sets.

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