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First Order Theories for Partial Models

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Abstract

We investigate first order sentences valid in completions of a given partial algebraic structure - a partial model. We give semantic and syntactic description of the set of all sentences valid in every completion of the given partial model - first order theory of this model.

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References

  1. BARTOL,W., ‘Introduction to the Theory of Partial Algebras’, Lectures on Algebras, Equations and Partiality, Univ. of Balearic Islands, Technical Report B-006, 1992: 36–71.

  2. BURMEISTER, P., A Model Theoretic Oriented Approach to Partial Algebras, Vol.32 ofMathematical Research, Akademie-Verlag, 1986.

  3. Burris,S., and H.P. Sankappanavar, A Course in Universal Algebra, Springer- Verlag, 1981.

  4. KONOLIGE,K. ‘Autoepistemic Logic’, in D.M. Gabbay, C. J. Hogger, J.A. Robinson, (eds.),Handbook of Logic in Artificial Intelligence and Logic Programming, Volume 3, Oxford University Press, 1994, pp. 216–234.

  5. POOLE,D., ‘Default Logic’, in D.M. Gabbay, C. J. Hogger, J.A. Robinson, (eds.), Handbook of Logic in Artificial Intelligence and Logic Programming, Volume 3, Oxford University Press, 1994, pp. 189–215.

  6. SCOTT,D., ‘Domains For Denotational Semantics’, in Proc. ICALP’82, Lect. Notes in. Comp.Sc.140, 1982: 577–613.

  7. SHOENFIELD, J.R., Mathematical Logic, Addison-Wesley Publishing Company, 1967.

  8. STARUCH,B., ‘Derivation from partial knowledge in partial models’, Bulletin of the Section of Logic 32, 2002: 75–84.

    Google Scholar 

  9. STARUCH,B. and B. STARUCH, ‘Possible sets of equations’, Bulletin of the Section of Logic 32,2002: 85–95.

    Google Scholar 

  10. STARUCH,B. and B. STARUCH, ‘Partial Algebras in Logic’, submited to Logika, Acta Universitatis Vratislaviensis, (2002).

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Correspondence to Bożena Staruch.

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Staruch, B., Staruch, B. First Order Theories for Partial Models. Stud Logica 80, 105–120 (2005). https://doi.org/10.1007/s11225-005-6779-1

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  • DOI: https://doi.org/10.1007/s11225-005-6779-1

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