eprintid: 134 rev_number: 6 eprint_status: archive userid: 29 dir: disk0/00/00/01/34 datestamp: 2011-03-01 11:14:20 lastmod: 2011-07-11 14:33:43 status_changed: 2011-03-01 11:14:20 type: book_section metadata_visibility: show item_issues_count: 0 creators_name: Buscemi, Maria Grazia creators_name: Sassone, Vladimiro creators_id: m.buscemi@imtlucca.it creators_id: title: High-Level Petri Nets as Type Theories in the Join Calculus ispublished: pub subjects: QA75 divisions: CSA full_text_status: none note: The final publication is available at www.springerlink.com abstract: We study the expressiveness of the join calculus by comparison with (generalised, coloured) Petri nets and using tools from type theory. More precisely, we consider four classes of nets of increasing expressiveness, ∏ i , introduce a hierarchy of type systems of decreasing strictness, Δ i , i = 0,..., 3, and we prove that a join process is typeable according to Δ i if and only if it is (strictly equivalent to) a net of class ∏ i . In the details, ∏ 0 and ∏ 1 contain, resp., usual place/transition and coloured Petri nets, while ∏ 2 and ∏ 3 propose two natural notions of high-level net accounting for dynamic reconfiguration and process creation and called reconfigurable and dynamic Petri nets, respectively. date: 2001 date_type: published series: Lecture Notes in Computer Science volume: 2030 publisher: Springer pagerange: 104-120 id_number: 10.1007/3-540-45315-6_7 refereed: TRUE isbn: 3-540-41864-4 book_title: Proceedings of Foundations of Software Science and Computation Structure (FoSSaCS ’01) editors_name: Honsell, Furio editors_name: Miculan, Marino official_url: http://dx.doi.org/10.1007/3-540-45315-6_7 funders: Supported by MURST project TOSCA. The authors wish to thank BRICS, Basic Research in Computer Science and project MIMOSA, INRIA Sophia Antipolis. citation: Buscemi, Maria Grazia and Sassone, Vladimiro High-Level Petri Nets as Type Theories in the Join Calculus. In: Proceedings of Foundations of Software Science and Computation Structure (FoSSaCS ’01). Lecture Notes in Computer Science, 2030 . Springer, pp. 104-120. ISBN 3-540-41864-4 (2001)