{"id":"https://openalex.org/W4410038878","doi":"https://doi.org/10.1007/978-3-031-90653-4_7","title":"Fixed Point Certificates for Reachability and Expected Rewards in MDPs","display_name":"Fixed Point Certificates for Reachability and Expected Rewards in MDPs","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4410038878","doi":"https://doi.org/10.1007/978-3-031-90653-4_7"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-90653-4_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-90653-4_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90653-4_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90653-4_7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052607806","display_name":"Krishnendu Chatterjee","orcid":"https://orcid.org/0000-0002-4561-241X"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Krishnendu Chatterjee","raw_affiliation_strings":["Institute of Science and Technology Austria, Klosterneuburg, Austria"],"raw_orcid":"https://orcid.org/0000-0002-4561-241X","affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013247085","display_name":"Tim Quatmann","orcid":"https://orcid.org/0000-0002-2843-5511"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Quatmann","raw_affiliation_strings":["RWTH Aachen, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2843-5511","affiliations":[{"raw_affiliation_string":"RWTH Aachen, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092346128","display_name":"Maximilian Sch\u00e4ffeler","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maximilian Sch\u00e4ffeler","raw_affiliation_strings":["Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2612-2335","affiliations":[{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042375584","display_name":"Maximilian Weininger","orcid":"https://orcid.org/0000-0002-0163-2152"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Maximilian Weininger","raw_affiliation_strings":["Institute of Science and Technology Austria, Klosterneuburg, Austria"],"raw_orcid":"https://orcid.org/0000-0002-0163-2152","affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088301072","display_name":"Tobias Winkler","orcid":"https://orcid.org/0000-0003-1084-6408"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias Winkler","raw_affiliation_strings":["RWTH Aachen, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1084-6408","affiliations":[{"raw_affiliation_string":"RWTH Aachen, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115999871","display_name":"Daniel Zilken","orcid":null},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]},{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["AT","DE"],"is_corresponding":false,"raw_author_name":"Daniel Zilken","raw_affiliation_strings":["Institute of Science and Technology Austria, Klosterneuburg, Austria","RWTH Aachen, Aachen, Germany"],"raw_orcid":"https://orcid.org/0009-0007-7221-2554","affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]},{"raw_affiliation_string":"RWTH Aachen, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5042375584"],"corresponding_institution_ids":["https://openalex.org/I157556583"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":22.9864,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.99515586,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"130","last_page":"151"},"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":0.9940000176429749,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.958549976348877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8782175183296204},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.563762903213501},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45795050263404846},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40976181626319885},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3373388946056366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09705713391304016}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.958549976348877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8782175183296204},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.563762903213501},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45795050263404846},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40976181626319885},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3373388946056366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09705713391304016},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-90653-4_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-90653-4_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90653-4_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-90653-4_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-90653-4_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90653-4_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4410038878.pdf"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1713610","https://openalex.org/W55887128","https://openalex.org/W275084143","https://openalex.org/W1515540333","https://openalex.org/W1556387789","https://openalex.org/W1862398452","https://openalex.org/W1978942630","https://openalex.org/W1980206966","https://openalex.org/W2014611532","https://openalex.org/W2087593009","https://openalex.org/W2108443473","https://openalex.org/W2142441581","https://openalex.org/W2334782222","https://openalex.org/W2562825158","https://openalex.org/W2568766587","https://openalex.org/W2598014203","https://openalex.org/W2735021239","https://openalex.org/W2803993242","https://openalex.org/W2899043600","https://openalex.org/W2914135999","https://openalex.org/W2925395957","https://openalex.org/W2932972683","https://openalex.org/W2964256340","https://openalex.org/W3022578038","https://openalex.org/W3046677588","https://openalex.org/W3123163187","https://openalex.org/W3134410578","https://openalex.org/W3179132544","https://openalex.org/W3184346668","https://openalex.org/W3200991247","https://openalex.org/W3205897023","https://openalex.org/W4232076219","https://openalex.org/W4250846042","https://openalex.org/W4283790991","https://openalex.org/W4312411454","https://openalex.org/W4366449580","https://openalex.org/W4366452168","https://openalex.org/W4366721447","https://openalex.org/W4382318036","https://openalex.org/W4384344687","https://openalex.org/W4384344688","https://openalex.org/W4390605315","https://openalex.org/W4400169043","https://openalex.org/W4400973174","https://openalex.org/W4400995197","https://openalex.org/W4400995225","https://openalex.org/W4401963967","https://openalex.org/W4403943655","https://openalex.org/W4410038878","https://openalex.org/W6930612912","https://openalex.org/W6946015622","https://openalex.org/W6965567521"],"related_works":["https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2143461633","https://openalex.org/W2150194458","https://openalex.org/W4321471459","https://openalex.org/W2772294324","https://openalex.org/W4253760428","https://openalex.org/W2047831585"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"possibility":[2],"of":[3,21,36,50,98,136],"errors":[4],"in":[5,101,115,140],"human-engineered":[6],"formal":[7,134],"verification":[8,38],"software,":[9],"such":[10],"as":[11],"model":[12,48,118],"checkers,":[13],"poses":[14],"a":[15,104],"serious":[16],"threat":[17],"to":[18,27,123],"the":[19,37,96,116,121,132,137,141],"purpose":[20],"these":[22],"tools.":[23],"An":[24],"established":[25],"approach":[26,63],"mitigate":[28],"this":[29,41],"problem":[30],"are":[31],"certificates":[32,46,77,100,125],"\u2014lightweight,":[33],"easy-to-check":[34],"proofs":[35],"results.":[39],"In":[40],"paper,":[42],"we":[43,111],"develop":[44],"novel":[45],"for":[47,79],"checking":[49],"Markov":[51],"decision":[52],"processes":[53],"(MDPs)":[54],"with":[55,88,120],"quantitative":[56],"reachability":[57],"and":[58,67,83,102,126],"expected":[59],"reward":[60],"properties.":[61],"Our":[62,76],"is":[64],"conceptually":[65],"simple":[66],"relies":[68],"almost":[69],"exclusively":[70],"on":[71],"elementary":[72],"fixed":[73],"point":[74],"theory.":[75],"work":[78],"arbitrary":[80],"finite":[81],"MDPs":[82],"can":[84],"be":[85],"readily":[86],"computed":[87],"little":[89],"overhead":[90],"using":[91],"standard":[92],"algorithms.":[93],"We":[94],"formalize":[95],"soundness":[97],"our":[99],"provide":[103],"formally":[105],"verified":[106],"certificate":[107],"checker":[108,119],".":[109],"Moreover,":[110],"augment":[112],"existing":[113],"algorithms":[114],"probabilistic":[117],"ability":[122],"produce":[124],"demonstrate":[127],"practical":[128],"applicability":[129],"by":[130],"conducting":[131],"first":[133],"certification":[135],"reference":[138],"results":[139],"Quantitative":[142],"Verification":[143],"Benchmark":[144],"Set.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":5}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}