{"id":"https://openalex.org/W2054054948","doi":"https://doi.org/10.1145/1008318.1008321","title":"An extension to on-line multiplication lower bound results","display_name":"An extension to on-line multiplication lower bound results","publication_year":1974,"publication_date":"1974-10-01","ids":{"openalex":"https://openalex.org/W2054054948","doi":"https://doi.org/10.1145/1008318.1008321","mag":"2054054948"},"language":"en","primary_location":{"id":"doi:10.1145/1008318.1008321","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1008318.1008321","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1008318.1008321","source":{"id":"https://openalex.org/S4210206003","display_name":"ACM SIGACT News","issn_l":"0163-5700","issn":["0163-5700","1943-5827"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGACT News","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1008318.1008321","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032416534","display_name":"David R. Cheriton","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"David R. Cheriton","raw_affiliation_strings":["University of Waterloo, Waterloo, Ontario, Canada","University of Waterloo, Waterloo, Ontario, CANADA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"University of Waterloo, Waterloo, Ontario, CANADA","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032416534"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12907814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"4","first_page":"24","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9976000189781189,"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/T11567","display_name":"semigroups and automata theory","score":0.9940999746322632,"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/extension","display_name":"Extension (predicate logic)","score":0.8280895352363586},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.786080002784729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4767518937587738},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.45376718044281006},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4502260088920593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4010707437992096},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.218308687210083},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05833914875984192},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.058255791664123535}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.8280895352363586},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.786080002784729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4767518937587738},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45376718044281006},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4502260088920593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4010707437992096},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.218308687210083},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05833914875984192},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.058255791664123535}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1008318.1008321","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1008318.1008321","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1008318.1008321","source":{"id":"https://openalex.org/S4210206003","display_name":"ACM SIGACT News","issn_l":"0163-5700","issn":["0163-5700","1943-5827"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGACT News","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/1008318.1008321","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1008318.1008321","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1008318.1008321","source":{"id":"https://openalex.org/S4210206003","display_name":"ACM SIGACT News","issn_l":"0163-5700","issn":["0163-5700","1943-5827"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGACT News","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334601","display_name":"National Research Council Canada","ror":"https://ror.org/04mte1k06"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2054054948.pdf","grobid_xml":"https://content.openalex.org/works/W2054054948.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1540038024","https://openalex.org/W2001121794","https://openalex.org/W2067185434"],"related_works":["https://openalex.org/W1595546368","https://openalex.org/W2941321153","https://openalex.org/W3080875783","https://openalex.org/W2091331052","https://openalex.org/W2571596282","https://openalex.org/W2468796127","https://openalex.org/W3142485698","https://openalex.org/W2352495365","https://openalex.org/W1995243406","https://openalex.org/W2405093304"],"abstract_inverted_index":{"The":[0],"improved":[1],"lower":[2],"bound":[3],"result":[4],"of":[5,16],"Fischer":[6],"et":[7],"al.":[8],"&lt;2&gt;":[9],"is":[10],"extended":[11],"to":[12,22],"a":[13],"larger":[14],"class":[15],"machines,":[17],"namely":[18],"from":[19],"uniform":[20],"BAM's":[21],"\"simple\"":[23],"BAM's.":[24]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
