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Morphisms for Inhibitor Nets and Related Transition Systems

Lookup NU author(s): Dr Marta Koutny



We here consider Elementary Net Systems (ENI-systems) with inhibitor arcs executed according to the a-priori semantics, and transition systems generated by them (TSENI). The relationship between nets and their transition systems is established via the notion of a region. We introduce morphisms both for the ENI-systems, and for the TSENI transition systems. We then define the category of ENI-systems (${cal CAT}_{ENI}$), and the category of TSENI transition systems (${cal CAT}_{TSENI}$), as well as functors between them. Finally, we prove that the functors between categories ${cal CAT}_{ENI}$ and ${cal CAT}_{TSENI}$ form an adjunction.

Publication metadata

Author(s): Pietkiewicz-Koutny M

Publication type: Report

Publication status: Published

Series Title: Department of Computing Science Technical Report Series

Year: 1997

Pages: 27

Print publication date: 01/10/1997

Source Publication Date: October 1997

Report Number: 613

Institution: Department of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne