{"id":"https://openalex.org/W2166149255","doi":"https://doi.org/10.1145/1228784.1228883","title":"An approximation algorithm for fully testable kEP-SOP networks","display_name":"An approximation algorithm for fully testable kEP-SOP networks","publication_year":2007,"publication_date":"2007-03-11","ids":{"openalex":"https://openalex.org/W2166149255","doi":"https://doi.org/10.1145/1228784.1228883","mag":"2166149255"},"language":"en","primary_location":{"id":"doi:10.1145/1228784.1228883","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1228784.1228883","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM Great Lakes symposium on VLSI","raw_type":"proceedings-article"},"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/A5032558381","display_name":"Anna Bernasconi","orcid":"https://orcid.org/0000-0003-0263-5221"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Anna Bernasconi","raw_affiliation_strings":["University of Pisa, Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076933640","display_name":"Valentina Ciriani","orcid":"https://orcid.org/0000-0002-0469-4201"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valentina Ciriani","raw_affiliation_strings":["University of Milano, Crema, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Milano, Crema, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008632321","display_name":"Roberto Cordone","orcid":"https://orcid.org/0000-0002-5439-1743"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Cordone","raw_affiliation_strings":["University of Milano, Crema, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Milano, Crema, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"417","last_page":"422"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplexer","display_name":"Multiplexer","score":0.7216533422470093},{"id":"https://openalex.org/keywords/testability","display_name":"Testability","score":0.7010930776596069},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6761069893836975},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5935190916061401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5708063840866089},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.5352697372436523},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5272861123085022},{"id":"https://openalex.org/keywords/canonical-normal-form","display_name":"Canonical normal form","score":0.5118119120597839},{"id":"https://openalex.org/keywords/algebraic-expression","display_name":"Algebraic expression","score":0.4708615839481354},{"id":"https://openalex.org/keywords/logic-synthesis","display_name":"Logic synthesis","score":0.45687663555145264},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45324695110321045},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.43988293409347534},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.40695497393608093},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.38571897149086},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34777742624282837},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.22946912050247192},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07366165518760681}],"concepts":[{"id":"https://openalex.org/C70970002","wikidata":"https://www.wikidata.org/wiki/Q189434","display_name":"Multiplexer","level":3,"score":0.7216533422470093},{"id":"https://openalex.org/C51234621","wikidata":"https://www.wikidata.org/wiki/Q2149495","display_name":"Testability","level":2,"score":0.7010930776596069},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6761069893836975},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5935190916061401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5708063840866089},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.5352697372436523},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5272861123085022},{"id":"https://openalex.org/C105285975","wikidata":"https://www.wikidata.org/wiki/Q2719417","display_name":"Canonical normal form","level":2,"score":0.5118119120597839},{"id":"https://openalex.org/C18912844","wikidata":"https://www.wikidata.org/wiki/Q4724001","display_name":"Algebraic expression","level":3,"score":0.4708615839481354},{"id":"https://openalex.org/C157922185","wikidata":"https://www.wikidata.org/wiki/Q173198","display_name":"Logic synthesis","level":3,"score":0.45687663555145264},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45324695110321045},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.43988293409347534},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.40695497393608093},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.38571897149086},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34777742624282837},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.22946912050247192},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07366165518760681},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":3,"locations":[{"id":"doi:10.1145/1228784.1228883","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1228784.1228883","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM Great Lakes symposium on VLSI","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.adm.unipi.it:2174","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401711","display_name":"UnipiEprints Open Archive (Universit\u00e0 di Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Book"},{"id":"pmh:oai:arpi.unipi.it:11568/114830","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/114830","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1481714151","https://openalex.org/W1489746688","https://openalex.org/W1511688816","https://openalex.org/W1677852443","https://openalex.org/W1993937043","https://openalex.org/W2011039300","https://openalex.org/W2082448265","https://openalex.org/W2096785857","https://openalex.org/W2134616974","https://openalex.org/W2146660848","https://openalex.org/W2164041216","https://openalex.org/W2170165510","https://openalex.org/W2545400013","https://openalex.org/W6630623413","https://openalex.org/W6729671523"],"related_works":["https://openalex.org/W2083871860","https://openalex.org/W1979609836","https://openalex.org/W2213404916","https://openalex.org/W1552215787","https://openalex.org/W2744202010","https://openalex.org/W2503131003","https://openalex.org/W2125277664","https://openalex.org/W2345332015","https://openalex.org/W2798487558","https://openalex.org/W4240821575"],"abstract_inverted_index":{"Multi-level":[0],"logic":[1],"synthesis":[2,57],"yields":[3],"much":[4],"more":[5,31],"compact":[6],"expressions":[7],"of":[8,19,52,99,124],"a":[9,36,44,70,91,121],"given":[10],"Boolean":[11],"function":[12],"with":[13,30,64],"respect":[14],"to":[15],"standard":[16],"two-level":[17],"sum":[18,51],"products":[20,53],"(SOP)":[21],"forms.":[22],"On":[23],"the":[24,77,97,103],"other":[25],"hand,":[26],"minimizing":[27],"an":[28,65],"expression":[29],"than":[32],"two-levels":[33],"can":[34,58,80,112],"take":[35],"large":[37],"time.":[38],"In":[39],"this":[40],"paper":[41],"we":[42],"introduce":[43],"novel":[45],"algebraic":[46],"four-level":[47],"expression,":[48],"named":[49],"k-EXOR-projected":[50],"(kEP-SOP)":[54],"form,":[55],"whose":[56],"be":[59,81,113],"performed":[60],"in":[61,83],"polynomial":[62],"time":[63,87],"approximation":[66],"algorithm":[67],"starting":[68],"from":[69,115],"minimal":[71],"SOP.":[72],"Our":[73],"experiments":[74],"show":[75,107],"that":[76],"resulting":[78],"networks":[79,101],"obtained":[82],"very":[84],"short":[85],"computational":[86],"and":[88,106],"often":[89],"exhibit":[90],"high":[92],"quality.":[93],"We":[94],"also":[95],"study":[96],"testability":[98],"these":[100],"under":[102],"Stuck-at-fault":[104],"model,":[105],"how":[108],"fully":[109],"testable":[110],"circuits":[111],"generated":[114],"them":[116],"by":[117],"adding":[118],"at":[119],"most":[120],"constant":[122],"number":[123],"multiplexer":[125],"gates.":[126]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}