An Ehrenfeucht-Fraïssé Game for Inquisitive First-Order Logic

Authors
Publication date 2019
Host editors
  • A. Silva
  • S. Staton
  • P. Sutton
  • C. Umbach
Book title Language, Logic, and Computation
Book subtitle 12th International Tbilisi Symposium, TbiLLC 2017, Lagodekhi, Georgia, September 18-22, 2017 : revised selected papers
ISBN
  • 9783662595640
ISBN (electronic)
  • 9783662595657
Series Lecture Notes in Computer Science
Event 12th Tbilisi Symposium on Language, Logic and Computation
Pages (from-to) 166-186
Number of pages 21
Publisher Berlin: Springer
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract Inquisitive first-order logic, InqBQ, is an extension of classi- cal first-order logic with questions. From a mathematical point of view, formulas in this logic express properties of sets of relational structures. In this paper we describe an Ehrenfeucht-Fraïssé game for InqBQ and show that it characterizes the distinguishing power of the logic. We exploit this result to show a number of undefinability results: in particular, several variants of the question how many individuals have property P are not expressible in InqBQ, even in restriction to finite models.
Document type Conference contribution
Language English
Published at https://doi.org/10.1007/978-3-662-59565-7_9
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