{"id":"https://openalex.org/W1735826757","doi":"https://doi.org/10.1109/tc.1976.1674667","title":"Recursion and Testing of Combinational Circuits","display_name":"Recursion and Testing of Combinational Circuits","publication_year":1976,"publication_date":"1976-06-01","ids":{"openalex":"https://openalex.org/W1735826757","doi":"https://doi.org/10.1109/tc.1976.1674667","mag":"1735826757"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1976.1674667","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1976.1674667","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","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/A5011207644","display_name":"Turcat","orcid":null},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Turcat","raw_affiliation_strings":["ENSIMAG, University of Grenoble","ENSIMAG, University of Grenoble, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"ENSIMAG, University of Grenoble","institution_ids":["https://openalex.org/I899635006"]},{"raw_affiliation_string":"ENSIMAG, University of Grenoble, Grenoble, France","institution_ids":["https://openalex.org/I899635006"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5098283470","display_name":"Verdillon","orcid":null},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Verdillon","raw_affiliation_strings":["Digital Systems Laboratory, Departments of Electrical Engineering and Computer Science, University of Stanford, Stanford, CA, USA","ENSIMAG, University of Grenoble, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Digital Systems Laboratory, Departments of Electrical Engineering and Computer Science, University of Stanford, Stanford, CA, USA","institution_ids":[]},{"raw_affiliation_string":"ENSIMAG, University of Grenoble, Grenoble, France","institution_ids":["https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011207644"],"corresponding_institution_ids":["https://openalex.org/I899635006"],"apc_list":null,"apc_paid":null,"fwci":0.6932,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64468864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"C-25","issue":"6","first_page":"652","last_page":"654"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9987999796867371,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9869999885559082,"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/T10320","display_name":"Neural Networks and Applications","score":0.9700999855995178,"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/combinational-logic","display_name":"Combinational logic","score":0.7572429180145264},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.7005413770675659},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5921088457107544},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5795082449913025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5731838345527649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5633547306060791},{"id":"https://openalex.org/keywords/sequential-logic","display_name":"Sequential logic","score":0.5161453485488892},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3918696939945221},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33024588227272034},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.25952476263046265}],"concepts":[{"id":"https://openalex.org/C81409106","wikidata":"https://www.wikidata.org/wiki/Q76505","display_name":"Combinational logic","level":3,"score":0.7572429180145264},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7005413770675659},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5921088457107544},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5795082449913025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5731838345527649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5633547306060791},{"id":"https://openalex.org/C187075797","wikidata":"https://www.wikidata.org/wiki/Q173245","display_name":"Sequential logic","level":3,"score":0.5161453485488892},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3918696939945221},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33024588227272034},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.25952476263046265},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1976.1674667","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1976.1674667","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W290503896","https://openalex.org/W2005960695"],"related_works":["https://openalex.org/W2110968362","https://openalex.org/W4238178324","https://openalex.org/W2163776294","https://openalex.org/W3141297747","https://openalex.org/W4248668797","https://openalex.org/W2111485030","https://openalex.org/W4390345338","https://openalex.org/W2106889348","https://openalex.org/W2884916459","https://openalex.org/W96064250"],"abstract_inverted_index":{"This":[0],"correspondence":[1],"shows":[2],"how":[3],"recursion":[4],"can":[5],"be":[6],"used":[7],"to":[8,56],"simplify":[9],"testing":[10,19],"of":[11,28,31,34,50,53,69],"combinational":[12],"circuits.":[13],"Necessary":[14],"and":[15,40],"sufficient":[16],"conditions":[17],"for":[18],"simple":[20,54],"iterative":[21,72],"arrays":[22],"(one-dimensional)":[23],"with":[24],"a":[25],"fixed":[26],"number":[27,33],"tests":[29],"(independent":[30],"the":[32,51],"cells)":[35],"are":[36,45,74],"given.":[37],"Multiple":[38],"faults":[39],"diagnosis":[41],"in":[42],"such":[43,70],"circuits":[44,73],"also":[46],"studied.":[47,75],"The":[48],"extension":[49],"concept":[52],"iteration":[55,58],"complex":[57,63,71],"that":[59],"may":[60],"realize":[61],"more":[62],"recursive":[64],"functions,":[65],"is":[66],"defined.":[67],"Examples":[68]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
