{"id":"https://openalex.org/W2054341442","doi":"https://doi.org/10.1145/2000791.2000797","title":"A revisit of fault class hierarchies in general boolean specifications","display_name":"A revisit of fault class hierarchies in general boolean specifications","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2054341442","doi":"https://doi.org/10.1145/2000791.2000797","mag":"2054341442"},"language":"en","primary_location":{"id":"doi:10.1145/2000791.2000797","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2000791.2000797","pdf_url":null,"source":{"id":"https://openalex.org/S142627899","display_name":"ACM Transactions on Software Engineering and Methodology","issn_l":"1049-331X","issn":["1049-331X","1557-7392"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Software Engineering and Methodology","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/A5100422935","display_name":"Zhenyu Chen","orcid":"https://orcid.org/0000-0002-9592-7022"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenyu Chen","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035107113","display_name":"Tsong Yueh Chen","orcid":"https://orcid.org/0000-0003-3578-0994"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tsong Yueh Chen","raw_affiliation_strings":["Swinburne University of Technology, Hawthorn, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Swinburne University of Technology, Hawthorn, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100331400","display_name":"Baowen Xu","orcid":"https://orcid.org/0000-0001-7743-1296"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baowen Xu","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0959,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.9543432,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"3","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T10743","display_name":"Software Testing and Debugging Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9986000061035156,"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/T10142","display_name":"Formal Methods in Verification","score":0.998199999332428,"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/mathematical-proof","display_name":"Mathematical proof","score":0.7487326264381409},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7040991187095642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6967296600341797},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5903043746948242},{"id":"https://openalex.org/keywords/product-term","display_name":"Product term","score":0.4980199337005615},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.49380072951316833},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4711933135986328},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.45142996311187744},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.4242444932460785},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.4195745587348938},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33753228187561035},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.29399025440216064},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.283827543258667},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.28348028659820557},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.275967001914978},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26597094535827637},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.13814765214920044},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1210155189037323},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08431169390678406}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7487326264381409},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7040991187095642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6967296600341797},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5903043746948242},{"id":"https://openalex.org/C9429942","wikidata":"https://www.wikidata.org/wiki/Q1781698","display_name":"Product term","level":5,"score":0.4980199337005615},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.49380072951316833},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4711933135986328},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.45142996311187744},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.4242444932460785},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.4195745587348938},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33753228187561035},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29399025440216064},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.283827543258667},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.28348028659820557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.275967001914978},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26597094535827637},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.13814765214920044},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1210155189037323},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08431169390678406},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2000791.2000797","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2000791.2000797","pdf_url":null,"source":{"id":"https://openalex.org/S142627899","display_name":"ACM Transactions on Software Engineering and Methodology","issn_l":"1049-331X","issn":["1049-331X","1557-7392"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Software Engineering and Methodology","raw_type":"journal-article"},{"id":"pmh:oai:researchbank.swinburne.edu.au:1f6c7493-2f04-44e3-a36c-eb41f5bd0fb2/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/84875","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Software Engineering and Methodology, Vol. 20, no. 3 (Aug 2011), article no. 13","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1950617585","display_name":null,"funder_award_id":"ARC DP0771733","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G2229232486","display_name":null,"funder_award_id":"6.08E+23","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7884188657","display_name":null,"funder_award_id":"2009C8320703","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321540","display_name":"Ministry of Science and Technology of the People's Republic of China","ror":"https://ror.org/027s68j25"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W65517794","https://openalex.org/W1770809009","https://openalex.org/W1896160926","https://openalex.org/W1971233427","https://openalex.org/W1971603947","https://openalex.org/W1973392987","https://openalex.org/W1987811078","https://openalex.org/W1990467226","https://openalex.org/W2022696593","https://openalex.org/W2028828983","https://openalex.org/W2042788642","https://openalex.org/W2049695835","https://openalex.org/W2050947884","https://openalex.org/W2073018571","https://openalex.org/W2079036312","https://openalex.org/W2100425664","https://openalex.org/W2119249385","https://openalex.org/W2136887998","https://openalex.org/W2171800016","https://openalex.org/W2172044536","https://openalex.org/W2561675875"],"related_works":["https://openalex.org/W1994175791","https://openalex.org/W2049783774","https://openalex.org/W2624451057","https://openalex.org/W2234833091","https://openalex.org/W2131164334","https://openalex.org/W2986911904","https://openalex.org/W3141532631","https://openalex.org/W2376964534","https://openalex.org/W1568384982","https://openalex.org/W1620232982"],"abstract_inverted_index":{"Recently,":[0],"Kapoor":[1],"and":[2,13,16,18,64],"Bowen":[3],"[2007]":[4],"have":[5],"extended":[6],"the":[7,25,31,60,69],"works":[8],"by":[9],"Kuhn":[10],"[1999],":[11],"Tsuchiya":[12],"Kikuno":[14],"[2002],":[15],"Lau":[17],"Yu":[19],"[2005].":[20],"However,":[21],"their":[22,42],"proofs":[23,67],"overlook":[24],"possibility":[26],"that":[27],"a":[28,74,82],"mutant":[29],"of":[30,41],"Boolean":[32,89],"specifications":[33],"under":[34],"test":[35],"may":[36],"be":[37],"equivalent.":[38],"Hence,":[39],"each":[40],"fault":[43,62,71,76,84],"relationships":[44,63],"is":[45,78],"either":[46],"incorrect":[47,51,61],"or":[48],"has":[49],"an":[50],"proof.":[52],"In":[53],"this":[54],"article,":[55],"we":[56],"give":[57],"counterexamples":[58],"to":[59,80],"provide":[65],"new":[66,83],"for":[68,87],"valid":[70],"relationships.":[72],"Furthermore,":[73],"co-stronger":[75],"relation":[77],"introduced":[79],"establish":[81],"class":[85],"hierarchy":[86],"general":[88],"specifications.":[90]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":7}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
