{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T04:10:53Z","timestamp":1751429453681,"version":"3.41.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2009,11]]},"abstract":"<jats:p> With this contribution, we aim to draw a comprehensive classification of Petri nets with stopwatches w.r.t. expressiveness and decidability issues. This topic is too ambitious to be summarized in a single paper. That is why we present our results in two different parts. The scope of this first paper is to address the general results that apply for both dense-time and discrete-time semantics. We study the class of bounded Petri nets with stopwatches and reset arcs (rSwPNs), which is an extension of T-time Petri nets (TPNs) where time is associated with transitions. Stopwatches can be reset, stopped and started. We give the formal dense-time and discrete-time semantics of these models in terms of Transition Systems. We study the expressiveness of rSwPNs and its subclasses w.r.t. (weak) bisimilarity (behavioral semantics). The main results are following: 1) bounded rSw- PNs and 1-safe rSwPNs are equally expressive; 2) For all models, reset arcs add expressiveness. 3) The resulting partial classification of models is given by a set of relations explained in Fig. 7: in the forthcoming paper, we will complete these results by covering expressiveness and decidability issues when discrete-time nets are considered. For the sake of simplicity, our results are explained on a model such that the stopwatches behaviors are expressed using inhibitor arcs. Our conclusions can however be easily extended to the general class of Stopwatch Petri nets. <\/jats:p>","DOI":"10.3233\/fi-2009-194","type":"journal-article","created":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T04:04:13Z","timestamp":1575345853000},"page":"111-138","source":"Crossref","is-referenced-by-count":0,"title":["Expressiveness of Petri Nets with Stopwatches. Dense-time \t\t\t Part"],"prefix":"10.1177","volume":"97","author":[{"given":"Morgan","family":"Magnin.","sequence":"first","affiliation":[{"name":"IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr"}]},{"given":"Pierre","family":"Molinaro","sequence":"additional","affiliation":[{"name":"IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr"}]},{"given":"Olivier (H.)","family":"Roux","sequence":"additional","affiliation":[{"name":"IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr"}]}],"member":"179","published-online":{"date-parts":[[2009,1,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2009-194","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2009-194","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:51:49Z","timestamp":1751367109000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2009-194"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1,1]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2009,11]]}},"alternative-id":["10.3233\/FI-2009-194"],"URL":"https:\/\/doi.org\/10.3233\/fi-2009-194","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"type":"print","value":"0169-2968"},{"type":"electronic","value":"1875-8681"}],"subject":[],"published":{"date-parts":[[2009,1,1]]}}}