Skip to main content
SpringerLink
Log in

A Kleene Theorem for Weighted Tree Automata

  • Published:
Theory of Computing Systems Aims and scope Submit manuscript

Abstract

In this paper we prove Kleene’s result for formal tree series over a commutative semiring A (which is not necessarily complete or continuous or idempotent), i.e., the class of formal tree series over A which are accepted by weighted tree automata, and the class of rational tree series over A are equal. We show the result by direct automata-theoretic constructions and prove their correctness.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Leipzig, D-04109 Leipzig, Germany

    Manfred Droste

  2. Department of Mathematics and Natural Sciences, Dresden University of Technology, D-01062 Dresden, Germany

    Christian Pech

  3. Department of Computer Science, Dresden University of Technology, D-01062 Dresden, Germany

    Heiko Vogler

Authors
  1. Manfred Droste
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Christian Pech
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Heiko Vogler
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Manfred Droste, Christian Pech or Heiko Vogler.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Droste, M., Pech, C. & Vogler, H. A Kleene Theorem for Weighted Tree Automata. Theory Comput Systems 38, 1–38 (2005). https://doi.org/10.1007/s00224-004-1096-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00224-004-1096-z

Keywords

Search

Navigation