{"id":"https://openalex.org/W2106086499","doi":"https://doi.org/10.1145/1228784.1228889","title":"An efficient cost-based canonical form for Boolean matching","display_name":"An efficient cost-based canonical form for Boolean matching","publication_year":2007,"publication_date":"2007-03-11","ids":{"openalex":"https://openalex.org/W2106086499","doi":"https://doi.org/10.1145/1228784.1228889","mag":"2106086499"},"language":"en","primary_location":{"id":"doi:10.1145/1228784.1228889","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1228784.1228889","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":"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/A5069191452","display_name":"Giovanni Agosta","orcid":"https://orcid.org/0000-0002-0255-4475"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giovanni Agosta","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082281016","display_name":"Francesco Bruschi","orcid":"https://orcid.org/0000-0001-5669-2788"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Bruschi","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014181688","display_name":"Donatella Sciuto","orcid":"https://orcid.org/0000-0001-9030-6940"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Donatella Sciuto","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069191452"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14728651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"445","last_page":"448"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.996999979019165,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.992900013923645,"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/boolean-function","display_name":"Boolean function","score":0.6992688775062561},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6540542840957642},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6300084590911865},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5806302428245544},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.5290670990943909},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.507253110408783},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.48645755648612976},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.47726887464523315},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.4730878472328186},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4655025601387024},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.45970234274864197},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4528043568134308},{"id":"https://openalex.org/keywords/canonical-normal-form","display_name":"Canonical normal form","score":0.4290868639945984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3763289749622345},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3681563138961792},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3202219009399414},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.26846787333488464},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1524316370487213},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11339932680130005}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6992688775062561},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6540542840957642},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6300084590911865},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5806302428245544},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.5290670990943909},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.507253110408783},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.48645755648612976},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.47726887464523315},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.4730878472328186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4655025601387024},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.45970234274864197},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4528043568134308},{"id":"https://openalex.org/C105285975","wikidata":"https://www.wikidata.org/wiki/Q2719417","display_name":"Canonical normal form","level":2,"score":0.4290868639945984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3763289749622345},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3681563138961792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3202219009399414},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.26846787333488464},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1524316370487213},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11339932680130005},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1228784.1228889","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1228784.1228889","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:re.public.polimi.it:11311/245922","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/245922","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2035444316","https://openalex.org/W2039485990","https://openalex.org/W2039544376","https://openalex.org/W2124752961","https://openalex.org/W2163492764","https://openalex.org/W3139969152"],"related_works":["https://openalex.org/W1991921929","https://openalex.org/W2996462315","https://openalex.org/W3101088086","https://openalex.org/W4289743389","https://openalex.org/W3132798087","https://openalex.org/W2883069340","https://openalex.org/W2000525984","https://openalex.org/W2188045954","https://openalex.org/W1976234213","https://openalex.org/W1505060907"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"new":[5],"canonical":[6,19,70],"forms":[7,20,71],"for":[8],"P,":[9],"NP":[10,67],"and":[11,68],"NPN":[12,69],"equivalence":[13,65],"relations":[14],"on":[15,23,36],"boolean":[16,61],"functions.":[17],"The":[18],"are":[21,72],"based":[22,35],"the":[24,42,57,60],"minimization":[25,43],"of":[26,59,76,80],"a":[27,47,77],"cost":[28,37],"function.":[29],"With":[30],"respect":[31],"to":[32,45],"previous":[33],"approaches":[34],"minimization,":[38],"our":[39],"function":[40,62],"allows":[41],"algorithm":[44],"explore":[46],"reduced":[48],"solution":[49],"space.":[50],"This":[51],"reduction":[52],"is":[53],"obtained":[54,73],"by":[55,74],"partitioning":[56],"columns":[58],"through":[63],"an":[64],"relation.":[66],"means":[75],"preprocessing":[78],"step":[79],"negligible":[81],"computational":[82],"overhead.":[83]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}