Skip to main content
Log in

A simple algebraic proof of the equational interpolation theorem

  • Published:
algebra universalis Aims and scope Submit manuscript

Abstract

An algebraic proof is given of a natural version of Craig's interpolation lemma for equational logic.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bergstra, J. A., Heering, J. andKlint, P.,Module algebra. Report CS-R8617, Department of Computer Science, Centre for Mathematics and Computer Science, Amsterdam (1986). Revised version: ibid. CS-R8844 (1988). To appear in Journal of the ACM.

    Google Scholar 

  2. Craig, W.,Linear reasoning. A new form of the Herbrand-Gentzen theorem, J. Symb. Log.XXII (1957), 250–268.

    Google Scholar 

  3. Grätzer, G.,Universal Algebra. Springer-Verlag, Berlin-Heidelberg-New York, 1979 (1968).

    Google Scholar 

  4. Meseguer, J. andGoguen, J. A.,Initiality, induction and computability, in: M. Nivat and J. C. Reynolds (eds.),Algebraic Methods in Semantics. University Press, Cambridge, 1985, pp. 459–541.

    Google Scholar 

  5. Pigozzi, D.,The join of equational theories, Colloquium Mathematicum XXX (1974), 15–25.

    Google Scholar 

  6. Rodenburg, P. H. andvan Glabbeek, R. J.,An interpolation theorem in equational logic. Report CS-R8838, Department of Computer Science, Centre for Mathematics and Computer Science, Amsterdam (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rodenburg, P.H. A simple algebraic proof of the equational interpolation theorem. Algebra Universalis 28, 48–51 (1991). https://doi.org/10.1007/BF01190411

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01190411

Keywords

Navigation