{"id":"https://openalex.org/W2131994575","doi":"https://doi.org/10.1017/s0960129504004311","title":"Compositional semantics for open Petri nets based on deterministic processes","display_name":"Compositional semantics for open Petri nets based on deterministic processes","publication_year":2005,"publication_date":"2005-01-28","ids":{"openalex":"https://openalex.org/W2131994575","doi":"https://doi.org/10.1017/s0960129504004311","mag":"2131994575"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129504004311","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004311","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109231060","display_name":"Paolo Baldan","orcid":"https://orcid.org/0000-0001-9357-5599"},"institutions":[{"id":"https://openalex.org/I149461666","display_name":"Ca' Foscari University of Venice","ror":"https://ror.org/04yzxz566","country_code":"IT","type":"education","lineage":["https://openalex.org/I149461666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"PAOLO BALDAN","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 Ca' Foscari di Venezia, Italy","Dipartimento di Informatica, Universit\u00e0 C\u00e1 Foscari di Venezia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 Ca' Foscari di Venezia, Italy","institution_ids":["https://openalex.org/I149461666"]},{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 C\u00e1 Foscari di Venezia, Italy","institution_ids":["https://openalex.org/I149461666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062051157","display_name":"Andrea Corradini","orcid":"https://orcid.org/0000-0001-6123-4175"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ANDREA CORRADINI","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 di Pisa, Italy","Dipartimento di Informatica - Universit\u00e0 di Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Dipartimento di Informatica - Universit\u00e0 di Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002594574","display_name":"Hartmut Ehrig","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"HARTMUT EHRIG","raw_affiliation_strings":["Computer Science Department, Technical University of Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Technical University of Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079512613","display_name":"Reiko Heckel","orcid":"https://orcid.org/0000-0003-4719-0772"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"REIKO HECKEL","raw_affiliation_strings":["Dept. of Math. and Comp. Science, University of Paderborn, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. and Comp. Science, University of Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109231060"],"corresponding_institution_ids":["https://openalex.org/I149461666"],"apc_list":null,"apc_paid":null,"fwci":6.8943,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.96606914,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"1","first_page":"1","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10703","display_name":"Business Process Modeling and Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10703","display_name":"Business Process Modeling and Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10679","display_name":"Service-Oriented Architecture and Web Services","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.907259464263916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7628007531166077},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.6724201440811157},{"id":"https://openalex.org/keywords/principle-of-compositionality","display_name":"Principle of compositionality","score":0.6114829778671265},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.6007235050201416},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5878696441650391},{"id":"https://openalex.org/keywords/security-token","display_name":"Security token","score":0.5645261406898499},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4972889721393585},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4935261011123657},{"id":"https://openalex.org/keywords/process-calculus","display_name":"Process calculus","score":0.4646104872226715},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.45017102360725403},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4471757113933563},{"id":"https://openalex.org/keywords/concurrency","display_name":"Concurrency","score":0.4350816607475281},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.42118188738822937},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2310793697834015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14844614267349243}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.907259464263916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7628007531166077},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.6724201440811157},{"id":"https://openalex.org/C121375916","wikidata":"https://www.wikidata.org/wiki/Q936559","display_name":"Principle of compositionality","level":2,"score":0.6114829778671265},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.6007235050201416},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5878696441650391},{"id":"https://openalex.org/C48145219","wikidata":"https://www.wikidata.org/wiki/Q1335365","display_name":"Security token","level":2,"score":0.5645261406898499},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4972889721393585},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4935261011123657},{"id":"https://openalex.org/C161771561","wikidata":"https://www.wikidata.org/wiki/Q1970286","display_name":"Process calculus","level":2,"score":0.4646104872226715},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.45017102360725403},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4471757113933563},{"id":"https://openalex.org/C193702766","wikidata":"https://www.wikidata.org/wiki/Q1414548","display_name":"Concurrency","level":2,"score":0.4350816607475281},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.42118188738822937},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2310793697834015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14844614267349243},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129504004311","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004311","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/92631","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/92631","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.research.unipd.it:11577/145339","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/145339","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W98533621","https://openalex.org/W149770690","https://openalex.org/W1503948619","https://openalex.org/W1507554808","https://openalex.org/W1517193498","https://openalex.org/W1520893111","https://openalex.org/W1528214111","https://openalex.org/W1553261637","https://openalex.org/W1559264271","https://openalex.org/W1603788080","https://openalex.org/W1604240241","https://openalex.org/W1859962912","https://openalex.org/W1991052229","https://openalex.org/W1995768429","https://openalex.org/W2022479543","https://openalex.org/W2027622095","https://openalex.org/W2036836043","https://openalex.org/W2057814731","https://openalex.org/W2061288205","https://openalex.org/W2078060182","https://openalex.org/W2086302464","https://openalex.org/W2104639956","https://openalex.org/W2113355185","https://openalex.org/W2129466958","https://openalex.org/W2914421362","https://openalex.org/W3047749363"],"related_works":["https://openalex.org/W2950008688","https://openalex.org/W4300603668","https://openalex.org/W2234237245","https://openalex.org/W188099908","https://openalex.org/W3184499045","https://openalex.org/W3192828789","https://openalex.org/W2569447364","https://openalex.org/W2155852086","https://openalex.org/W2324339387","https://openalex.org/W123162335"],"abstract_inverted_index":{"In":[0],"order":[1],"to":[2,46,102,107,121],"model":[3,25],"the":[4,23,36,39,43,61,81,122,128,138,144,152],"behaviour":[5],"of":[6,12,22,65,94,130,137,146],"open":[7,17,57,74,90],"concurrent":[8,54],"systems":[9],"by":[10,59,157],"means":[11],"Petri":[13,18,66],"nets,":[14,19,75],"we":[15,50],"introduce":[16,69],"a":[20,52,70,78,109,113,158],"generalisation":[21],"ordinary":[24],"where":[26],"some":[27],"places,":[28],"designated":[29],"as":[30,77],"open,":[31],"represent":[32],"an":[33],"interface":[34],"between":[35],"system":[37],"and":[38,92,141],"environment.":[40],"Besides":[41],"generalising":[42],"token":[44],"game":[45],"reflect":[47],"this":[48],"extension,":[49],"define":[51],"truly":[53],"semantics":[55,64,99],"for":[56,85,125],"nets":[58],"extending":[60],"Goltz\u2013Reisig":[62],"process":[63,98],"nets.":[67],"We":[68],"composition":[71,110],"operation":[72],"over":[73],"characterised":[76],"pushout":[79],"in":[80,127,151],"corresponding":[82],"category,":[83],"suitable":[84],"modelling":[86,145],"both":[87],"interaction":[88],"through":[89],"places":[91],"synchronisation":[93],"transitions.":[95],"The":[96],"deterministic":[97],"is":[100,119,143,155],"shown":[101],"be":[103],"compositional":[104],"with":[105],"respect":[106],"such":[108],"operation.":[111],"If":[112],"net":[114],".":[115],"Technically,":[116],"our":[117],"result":[118],"similar":[120],"amalgamation":[123],"theorem":[124],"data-types":[126],"framework":[129],"algebraic":[131],"specification.":[132],"A":[133],"possible":[134],"application":[135],"field":[136],"proposed":[139],"constructions":[140],"results":[142],"interorganisational":[147],"workflows,":[148],"recently":[149],"studied":[150],"literature.":[153],"This":[154],"illustrated":[156],"running":[159],"example.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}