{"id":"https://openalex.org/W4213342215","doi":"https://doi.org/10.1142/s0218126622501869","title":"Theory of Extended Forms of Switching Function","display_name":"Theory of Extended Forms of Switching Function","publication_year":2022,"publication_date":"2022-02-21","ids":{"openalex":"https://openalex.org/W4213342215","doi":"https://doi.org/10.1142/s0218126622501869"},"language":"en","primary_location":{"id":"doi:10.1142/s0218126622501869","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126622501869","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and 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/A5015166119","display_name":"Yavuz Can","orcid":"https://orcid.org/0000-0001-6052-2351"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Yavuz Can","raw_affiliation_strings":["Department of Electrical, Electronic and Information Technologies, Institute for Electronics Engineering, Friedrich-Alexander-University Erlangen\u2013Nuremberg, Cauerstr. 8, 91058 Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic and Information Technologies, Institute for Electronics Engineering, Friedrich-Alexander-University Erlangen\u2013Nuremberg, Cauerstr. 8, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015166119"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03444503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"10","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9980999827384949,"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":0.9980999827384949,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9943000078201294,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9750999808311462,"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/conjunction","display_name":"Conjunction (astronomy)","score":0.6661220788955688},{"id":"https://openalex.org/keywords/disjunctive-normal-form","display_name":"Disjunctive normal form","score":0.6074362397193909},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5954011082649231},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5634921789169312},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.5591299533843994},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5541064739227295},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.5372841954231262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5223956108093262},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.45877158641815186},{"id":"https://openalex.org/keywords/canonical-normal-form","display_name":"Canonical normal form","score":0.43369990587234497},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3559664189815521},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35312819480895996},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22488704323768616},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18987980484962463},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07577160000801086}],"concepts":[{"id":"https://openalex.org/C59656382","wikidata":"https://www.wikidata.org/wiki/Q191536","display_name":"Conjunction (astronomy)","level":2,"score":0.6661220788955688},{"id":"https://openalex.org/C136726353","wikidata":"https://www.wikidata.org/wiki/Q903789","display_name":"Disjunctive normal form","level":2,"score":0.6074362397193909},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5954011082649231},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5634921789169312},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.5591299533843994},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5541064739227295},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.5372841954231262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5223956108093262},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.45877158641815186},{"id":"https://openalex.org/C105285975","wikidata":"https://www.wikidata.org/wiki/Q2719417","display_name":"Canonical normal form","level":2,"score":0.43369990587234497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3559664189815521},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35312819480895996},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22488704323768616},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18987980484962463},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07577160000801086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218126622501869","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126622501869","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W646410877","https://openalex.org/W966413371","https://openalex.org/W2035081280","https://openalex.org/W2306332506","https://openalex.org/W2500813715","https://openalex.org/W4231115413"],"related_works":["https://openalex.org/W2383447474","https://openalex.org/W2368813805","https://openalex.org/W1534821987","https://openalex.org/W2094988934","https://openalex.org/W2355295171","https://openalex.org/W2370559189","https://openalex.org/W2902630423","https://openalex.org/W2151124217","https://openalex.org/W2369884806","https://openalex.org/W2053394780"],"abstract_inverted_index":{"In":[0,30,89],"switching":[1],"algebra,":[2],"there":[3],"exist":[4],"standard":[5,25,36],"forms":[6,26,40,59,95,105],"of":[7,22,27,56,80],"Boolean":[8,28],"functions":[9],"such":[10],"as":[11],"the":[12,20,23,33,51,54,57,64,76,103],"disjunctive":[13],"or":[14],"conjunctive":[15],"form.":[16],"This":[17],"paper":[18],"discusses":[19],"theory":[21],"extended":[24,58],"functions.":[29],"addition":[31],"to":[32,46,75,86],"four":[34],"existing":[35],"forms,":[37],"two":[38],"further":[39],"are":[41,71,82,96,107,112],"introduced":[42],"and":[43,62,69,84],"thus":[44],"expanded":[45],"six":[47],"basic":[48,104],"forms.":[49],"On":[50],"one":[52],"hand,":[53],"existence":[55],"is":[60],"presented":[61],"on":[63],"other":[65],"hand":[66],"new":[67],"formulas":[68],"equations":[70,91],"illustrated.":[72],"Equations":[73],"relating":[74],"resolution":[77],"and/or":[78],"solution":[79],"conjunction/disjunctions":[81],"detailed":[83],"proven":[85],"be":[87],"valid.":[88],"addition,":[90],"for":[92],"conversion":[93],"between":[94,102],"exemplified.":[97],"Finally,":[98],"certain":[99,110],"formal":[100],"relations":[101],"that":[106],"valid":[108],"under":[109],"conditions":[111],"featured.":[113]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}