Constructibility and decidability versus domain independence and absoluteness

Arnon Avron*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We develop a unified framework for dealing with constructibility and absoluteness in set theory, decidability of relations in effective structures (like the natural numbers) and domain independence of queries in database theory. Our framework and results suggest that domain-independence and absoluteness might be the key notions in a general theory of constructibility, predicativity and computability.

Original languageEnglish
Pages (from-to)144-158
Number of pages15
JournalTheoretical Computer Science
Volume394
Issue number3
DOIs
StatePublished - 8 Apr 2008

Keywords

  • Absoluteness
  • Church thesis
  • Computability
  • Constructibility
  • Decidability
  • Domain-independence
  • Predicativity
  • Set theory

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