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Entropy of formulas
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
2009 (English)In: Archive for mathematical logic, ISSN 0933-5846, E-ISSN 1432-0665, Vol. 48, no 6, 515-522 p.Article in journal (Refereed) Published
Abstract [en]

A probability distribution can be given to the set of isomorphism classes of models with universe {1, ..., n} of a sentence in first-order logic. We study the entropy of this distribution and derive a result from the 0-1 law for first-order sentences.

Place, publisher, year, edition, pages
Springer , 2009. Vol. 48, no 6, 515-522 p.
Keyword [en]
first-order logic, finite models, entropy, zero-one law
National Category
Mathematics
Research subject
Mathematical Logic
Identifiers
URN: urn:nbn:se:uu:diva-119667DOI: 10.1007/s00153-009-0135-5ISI: 000267364900002OAI: oai:DiVA.org:uu-119667DiVA: diva2:300627
Available from: 2010-02-26 Created: 2010-02-26 Last updated: 2017-12-12Bibliographically approved

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Koponen, Vera

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