{"id":"https://openalex.org/W4360918832","doi":"https://doi.org/10.1007/978-3-031-29476-1_1","title":"Formal Derivation and Verification of Critical Path Algorithm for Directed Acyclic Graph","display_name":"Formal Derivation and Verification of Critical Path Algorithm for Directed Acyclic Graph","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4360918832","doi":"https://doi.org/10.1007/978-3-031-29476-1_1"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-29476-1_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-29476-1_1","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5100631751","display_name":"Zhen You","orcid":"https://orcid.org/0000-0003-0504-3942"},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen You","raw_affiliation_strings":["Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051513797","display_name":"Xinwu Yi","orcid":null},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinwu Yi","raw_affiliation_strings":["Computer Information Engineering School, Jiangxi Normal University, Nanchang, 330022, China","Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","Computer Information Engineering School, Jiangxi Normal University, Nanchang, China","Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Information Engineering School, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Computer Information Engineering School, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763215","display_name":"Jinyun Xue","orcid":"https://orcid.org/0000-0003-1584-9712"},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinyun Xue","raw_affiliation_strings":["Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049842647","display_name":"Hongwen Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwen Hu","raw_affiliation_strings":["Computer Information Engineering School, Jiangxi Normal University, Nanchang, 330022, China","Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","Computer Information Engineering School, Jiangxi Normal University, Nanchang, China","Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Information Engineering School, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Computer Information Engineering School, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090145409","display_name":"Jiewen Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140166","display_name":"Education Department of Jiangxi Province","ror":"https://ror.org/04d8xwh61","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210140166"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiewen Huang","raw_affiliation_strings":["Jiangxi Provincial Education Examination Authority, Nanchang, 330008, China","Jiangxi Provincial Education Examination Authority, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangxi Provincial Education Examination Authority, Nanchang, 330008, China","institution_ids":["https://openalex.org/I4210140166"]},{"raw_affiliation_string":"Jiangxi Provincial Education Examination Authority, Nanchang, China","institution_ids":["https://openalex.org/I4210140166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054211420","display_name":"Cheng Zhuo","orcid":"https://orcid.org/0000-0002-2610-7522"},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuo Cheng","raw_affiliation_strings":["Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Provincial Key Lab of High-Performance Computing, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"State International S&T Cooperation Base of Networked Supporting Software, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051513797"],"corresponding_institution_ids":["https://openalex.org/I53592917"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.033626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.8918620944023132},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8036174178123474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5515161752700806},{"id":"https://openalex.org/keywords/critical-path-method","display_name":"Critical path method","score":0.5506892204284668},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5457813143730164},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4968097507953644},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4475720524787903},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43529942631721497},{"id":"https://openalex.org/keywords/moral-graph","display_name":"Moral graph","score":0.4199887216091156},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.26508474349975586},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.08646714687347412}],"concepts":[{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.8918620944023132},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8036174178123474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5515161752700806},{"id":"https://openalex.org/C115874739","wikidata":"https://www.wikidata.org/wiki/Q825377","display_name":"Critical path method","level":2,"score":0.5506892204284668},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5457813143730164},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4968097507953644},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4475720524787903},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43529942631721497},{"id":"https://openalex.org/C148067565","wikidata":"https://www.wikidata.org/wiki/Q3323718","display_name":"Moral graph","level":5,"score":0.4199887216091156},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.26508474349975586},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.08646714687347412},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-29476-1_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-29476-1_1","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1511110335","https://openalex.org/W1528310917","https://openalex.org/W2057118835","https://openalex.org/W2070161510","https://openalex.org/W2103953153","https://openalex.org/W2316194651","https://openalex.org/W2533852573","https://openalex.org/W3022229101","https://openalex.org/W3119427513","https://openalex.org/W3177204838","https://openalex.org/W3210471786"],"related_works":["https://openalex.org/W4214487273","https://openalex.org/W4287028074","https://openalex.org/W3191289342","https://openalex.org/W2354764436","https://openalex.org/W2146569528","https://openalex.org/W2372211403","https://openalex.org/W2084763084","https://openalex.org/W3164774158","https://openalex.org/W1979867605","https://openalex.org/W4293065879"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
