{"id":"https://openalex.org/W2012722123","doi":"https://doi.org/10.1109/tc.1986.1676666","title":"On the Impossible Class of Faulty Functions in Logic Networks Under Short Circuit Faults","display_name":"On the Impossible Class of Faulty Functions in Logic Networks Under Short Circuit Faults","publication_year":1986,"publication_date":"1986-01-01","ids":{"openalex":"https://openalex.org/W2012722123","doi":"https://doi.org/10.1109/tc.1986.1676666","mag":"2012722123"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1986.1676666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1986.1676666","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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/A5107912064","display_name":"Bhattacharya","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bhattacharya","raw_affiliation_strings":["Indian Statistical Institute","Indian Statistical Institute, Kolkata, West Bengal, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute","institution_ids":["https://openalex.org/I6498739"]},{"raw_affiliation_string":"Indian Statistical Institute, Kolkata, West Bengal, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100512784","display_name":"Gupta","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gupta","raw_affiliation_strings":["Indian Statistical Institute, Kolkata, West Bengal, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata, West Bengal, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.15137068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"C-35","issue":"1","first_page":"85","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9939000010490417,"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":0.9939000010490417,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9916999936103821,"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/T11567","display_name":"semigroups and automata theory","score":0.9907000064849854,"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/bridging","display_name":"Bridging (networking)","score":0.7132117748260498},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6868914365768433},{"id":"https://openalex.org/keywords/testability","display_name":"Testability","score":0.6414422988891602},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6262062788009644},{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.5898116230964661},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5510421991348267},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5391493439674377},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.47829657793045044},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4781954288482666},{"id":"https://openalex.org/keywords/combinational-logic","display_name":"Combinational logic","score":0.469845712184906},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4253723621368408},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3816491365432739},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3810776472091675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27602052688598633},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.2560204267501831},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24173665046691895},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11941418051719666}],"concepts":[{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.7132117748260498},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6868914365768433},{"id":"https://openalex.org/C51234621","wikidata":"https://www.wikidata.org/wiki/Q2149495","display_name":"Testability","level":2,"score":0.6414422988891602},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6262062788009644},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.5898116230964661},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5510421991348267},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5391493439674377},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.47829657793045044},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4781954288482666},{"id":"https://openalex.org/C81409106","wikidata":"https://www.wikidata.org/wiki/Q76505","display_name":"Combinational logic","level":3,"score":0.469845712184906},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4253723621368408},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3816491365432739},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3810776472091675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27602052688598633},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.2560204267501831},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24173665046691895},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11941418051719666},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1986.1676666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1986.1676666","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310638","display_name":"McGill University","ror":"https://ror.org/01pxwe438"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W41061501","https://openalex.org/W122380955","https://openalex.org/W189984242","https://openalex.org/W306646905","https://openalex.org/W323788668","https://openalex.org/W1513838990","https://openalex.org/W1967664042","https://openalex.org/W1979502538","https://openalex.org/W1996007494","https://openalex.org/W2011605823","https://openalex.org/W2049704612","https://openalex.org/W2062915593","https://openalex.org/W2066156647","https://openalex.org/W2074357681","https://openalex.org/W2075034526","https://openalex.org/W2082758488","https://openalex.org/W2096007426","https://openalex.org/W2140737090","https://openalex.org/W6601641252","https://openalex.org/W6605012603","https://openalex.org/W6610809763"],"related_works":["https://openalex.org/W2169576796","https://openalex.org/W2728195892","https://openalex.org/W2611822924","https://openalex.org/W2486254595","https://openalex.org/W2126951255","https://openalex.org/W1597080238","https://openalex.org/W3204916073","https://openalex.org/W2018822765","https://openalex.org/W2031906996","https://openalex.org/W2134045762"],"abstract_inverted_index":{"The":[0,113,126],"important":[1],"problem":[2],"of":[3,9,32,34,50,55,58,70,77,83,86,97,110,128,133],"recognizing":[4],"a":[5,17,52,87,93],"priori":[6],"the":[7,35,42,46,75,81,84,105,116,131,134],"class":[8,57],"Boolean":[10],"functions":[11,60,102,120],"which":[12],"are":[13,72],"never":[14],"obtainable":[15],"from":[16],"given":[18],"combinational":[19],"network":[20,135],"under":[21,121],"short":[22],"circuit":[23],"faults":[24,123],"is":[25,62,124,136],"almost":[26],"unexplored,":[27],"primarily":[28],"due":[29],"to":[30,92,100,104],"lack":[31],"understanding":[33],"functional":[36],"and":[37,99,118],"structural":[38],"factors":[39],"that":[40],"influence":[41],"fault":[43,88],"behavior":[44],"in":[45,64],"network.":[47],"In":[48],"view":[49],"this,":[51],"new":[53],"concept":[54],"impossible":[56],"faulty":[59],"(ICFF)":[61],"introduced":[63],"this":[65],"correspondence.":[66],"Several":[67],"intriguing":[68],"properties":[69],"ICFF":[71,129],"uncovered,":[73],"namely,":[74],"undetectability":[76],"input":[78],"bridging":[79,122],"faults,":[80],"impossibility":[82],"transformation":[85],"free":[89],"function":[90],"Fo":[91],"subset":[94],"or":[95],"superset":[96],"Fo,":[98,111],"other":[101],"belonging":[103],"same":[106],"P-and":[107],"N-equivalence":[108],"classes":[109],"etc.":[112],"closure":[114],"amongst":[115],"fan-out-free":[117],"unate":[119],"investigated.":[125],"impact":[127],"on":[130],"testability":[132],"also":[137],"discussed.":[138]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}