Technical Report TR-2007-05

BibliographyKufleitner, Manfred: A Proof of the Factorization Forest Theorem.
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology, Technical Report Computer Science No. 2007/05.
4 pages, english.
CR-SchemaF.4.3 (Formal Languages)
Keywordssemigroup; monoid; factorization forest; Halbgruppe; Monoid; Faktorisierungswald
Abstract

We show that for every homomorphism $\Gamma^+ \to S$ where $S$ is a finite semigroup there exists a factorization forest of height $\leq 3 \abs{S}$. The proof is based on Green's relations.

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Contactmanfred.kufleitner@fmi.uni-stuttgart.de
Department(s)University of Stuttgart, Institute of Formal Methods in Computer Science, Theoretical Computer Science
Entry dateOctober 26, 2007
   Publ. Computer Science