Polyteam Semantics

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Team semantics is the mathematical framework of modern logics of dependence and independence in which formulae are interpreted by sets of assignments (teams) instead of single assignments as in first-order logic. In order to deepen the fruitful interplay between team semantics and database dependency theory, we define "Polyteam Semantics" in which formulae are evaluated over a family of teams. We begin by defining a novel polyteam variant of dependence atoms and give a finite axiomatisation for the associated implication problem. We also characterise the expressive power of poly-dependence logic by properties of polyteams that are downward closed and definable in existential second-order logic (ESO). The analogous result is shown to hold for poly-independence logic and all ESO-definable properties.
Original languageEnglish
Title of host publicationLogical Foundations of Computer Science
EditorsSergei Artemov, Anil Nerode
Number of pages21
Publication date2018
ISBN (Print)978-3-319-72055-5
ISBN (Electronic)978-3-319-72056-2
Publication statusPublished - 2018
MoE publication typeA4 Article in conference proceedings
EventLogical Foundations of Computer Science 2018 - Deerfield Beach, United States
Duration: 8 Jan 201811 Jan 2018

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Fields of Science

  • cs.LO
  • 111 Mathematics
  • 112 Statistics and probability

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