{"id":"https://openalex.org/W2000865099","doi":"https://doi.org/10.1007/s00165-006-0015-2","title":"Parametric probabilistic transition systems for system design and analysis","display_name":"Parametric probabilistic transition systems for system design and analysis","publication_year":2006,"publication_date":"2006-11-29","ids":{"openalex":"https://openalex.org/W2000865099","doi":"https://doi.org/10.1007/s00165-006-0015-2","mag":"2000865099"},"language":"en","primary_location":{"id":"doi:10.1007/s00165-006-0015-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00165-006-0015-2","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-006-0015-2","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-006-0015-2","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090347665","display_name":"Ruggero Lanotte","orcid":"https://orcid.org/0000-0002-3335-234X"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ruggero Lanotte","raw_affiliation_strings":["Dipartimento di Scienze della Cultura, Politiche e dell\u2019Informazione, Universit\u00e0 dell\u2019Insubria, Via Valleggio 11, 22100, Como, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze della Cultura, Politiche e dell\u2019Informazione, Universit\u00e0 dell\u2019Insubria, Via Valleggio 11, 22100, Como, Italy","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111495699","display_name":"Andrea Maggiolo\u2013Schettini","orcid":null},"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 Maggiolo-Schettini","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e1 di pisa, Largo Pontecorvo 3, 56127, Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e1 di pisa, Largo Pontecorvo 3, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047668180","display_name":"Angelo Troina","orcid":"https://orcid.org/0000-0002-0049-4237"},"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":"Angelo Troina","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e1 di pisa, Largo Pontecorvo 3, 56127, Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e1 di pisa, Largo Pontecorvo 3, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":1.9456,"has_fulltext":true,"cited_by_count":73,"citation_normalized_percentile":{"value":0.85515773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"19","issue":"1","first_page":"93","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.8916057348251343},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6976979970932007},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6805210709571838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6303496360778809},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5329799056053162},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5175118446350098},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.49866533279418945},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.487915962934494},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.4720723628997803},{"id":"https://openalex.org/keywords/probability-theory","display_name":"Probability theory","score":0.4329304099082947},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3479238748550415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31909114122390747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3040483593940735},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1427149474620819},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0983087420463562}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.8916057348251343},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6976979970932007},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6805210709571838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6303496360778809},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5329799056053162},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5175118446350098},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.49866533279418945},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.487915962934494},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.4720723628997803},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.4329304099082947},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3479238748550415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31909114122390747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3040483593940735},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1427149474620819},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0983087420463562},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00165-006-0015-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00165-006-0015-2","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-006-0015-2","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/581034","is_oa":false,"landing_page_url":"http://link.springer.com/article/10.1007/s00165-006-0015-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/1681588","is_oa":false,"landing_page_url":"http://hdl.handle.net/11383/1681588","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"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"}],"best_oa_location":{"id":"doi:10.1007/s00165-006-0015-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00165-006-0015-2","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/s00165-006-0015-2","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000865099.pdf","grobid_xml":"https://content.openalex.org/works/W2000865099.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1494673791","https://openalex.org/W1497416278","https://openalex.org/W1538056753","https://openalex.org/W1538639190","https://openalex.org/W1543526731","https://openalex.org/W1553142094","https://openalex.org/W1579183220","https://openalex.org/W1581707941","https://openalex.org/W1600556058","https://openalex.org/W1601373402","https://openalex.org/W1602844557","https://openalex.org/W1621538476","https://openalex.org/W1905380539","https://openalex.org/W1974090207","https://openalex.org/W1976268573","https://openalex.org/W1978884755","https://openalex.org/W1991813962","https://openalex.org/W2005708967","https://openalex.org/W2005998857","https://openalex.org/W2015172530","https://openalex.org/W2025782239","https://openalex.org/W2028145673","https://openalex.org/W2044260813","https://openalex.org/W2047386147","https://openalex.org/W2051580064","https://openalex.org/W2057882055","https://openalex.org/W2067556429","https://openalex.org/W2087811006","https://openalex.org/W2101508170","https://openalex.org/W2107471150","https://openalex.org/W2113391296","https://openalex.org/W2121431238","https://openalex.org/W2124122503","https://openalex.org/W2125500714","https://openalex.org/W2135115058","https://openalex.org/W2138721587","https://openalex.org/W2155953212","https://openalex.org/W2166069606","https://openalex.org/W2178662818","https://openalex.org/W2341171179","https://openalex.org/W2501266110","https://openalex.org/W2799087070","https://openalex.org/W4230058301","https://openalex.org/W4235779520","https://openalex.org/W4237502884","https://openalex.org/W4255034261","https://openalex.org/W4285719527","https://openalex.org/W4298290503"],"related_works":["https://openalex.org/W2494523064","https://openalex.org/W2943623134","https://openalex.org/W2215759665","https://openalex.org/W2111813998","https://openalex.org/W2002739602","https://openalex.org/W2345647014","https://openalex.org/W2201192772","https://openalex.org/W3136891595","https://openalex.org/W2535030201","https://openalex.org/W1964819397"],"abstract_inverted_index":{"Abstract":[0],"We":[1,19],"develop":[2,62],"a":[3,30,44,52,57,77],"model":[4,51],"of":[5,25,42],"parametric":[6],"probabilistic":[7,53],"transition":[8],"Systems":[9],"(PPTSs),":[10],"where":[11],"probabilities":[12],"associated":[13],"with":[14,56],"transitions":[15],"may":[16],"be":[17],"parameters.":[18],"show":[20],"how":[21],"to":[22,65],"find":[23,66],"instances":[24,34,67],"the":[26,40,70,73,86],"parameters":[27],"that":[28,35,68,72],"satisfy":[29],"given":[31],"property":[32],"and":[33],"either":[36],"maximize":[37,69],"or":[38],"minimize":[39],"probability":[41,71],"reaching":[43],"certain":[45],"state.":[46],"As":[47],"an":[48,83],"application,":[49],"we":[50,61],"non-repudiation":[54],"protocol":[55,74],"PPTS.":[58],"The":[59],"theory":[60],"allows":[63],"us":[64],"ends":[75],"in":[76],"fair":[78],"state":[79],"(no":[80],"participant":[81],"has":[82],"advantage":[84],"over":[85],"others).":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
