The First-Order Syntax of Variadic Functions

Samuel Alexander

doi:10.1215/00294527-1731380

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Home > Journals > Notre Dame J. Formal Logic > Volume 54 > Issue 1 > Article

2013 The First-Order Syntax of Variadic Functions

Samuel Alexander

Notre Dame J. Formal Logic 54(1): 47-59 (2013). DOI: 10.1215/00294527-1731380

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Abstract

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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Samuel Alexander. "The First-Order Syntax of Variadic Functions." Notre Dame J. Formal Logic 54 (1) 47 - 59, 2013. https://doi.org/10.1215/00294527-1731380