{"id":"https://openalex.org/W2048972466","doi":"https://doi.org/10.1137/0217044","title":"Efficient Parallel Evaluation of Straight-Line Code and Arithmetic Circuits","display_name":"Efficient Parallel Evaluation of Straight-Line Code and Arithmetic Circuits","publication_year":1988,"publication_date":"1988-08-01","ids":{"openalex":"https://openalex.org/W2048972466","doi":"https://doi.org/10.1137/0217044","mag":"2048972466"},"language":"en","primary_location":{"id":"doi:10.1137/0217044","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0217044","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5010457003","display_name":"Gary L. Miller","orcid":"https://orcid.org/0000-0001-5456-8097"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary L. Miller","raw_affiliation_strings":["Computer Science Department, Mathematical Sciences Research Institute and University of Southern California, Los Angeles,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Mathematical Sciences Research Institute and University of Southern California, Los Angeles,","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044018198","display_name":"Vijaya Ramachandran","orcid":null},"institutions":[{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vijaya Ramachandran","raw_affiliation_strings":["Coordinated Science Laboratory, Mathematical Sciences Research Institute and University of Illinois, Urbana,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, Mathematical Sciences Research Institute and University of Illinois, Urbana,","institution_ids":["https://openalex.org/I73544541"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056874049","display_name":"Erich Kaltofen","orcid":"https://orcid.org/0000-0003-2739-3230"},"institutions":[{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erich Kaltofen","raw_affiliation_strings":["Computer Science Department, Mathematical Sciences Research Institute and Rensselaer Polytechnic Inst., Troy,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Mathematical Sciences Research Institute and Rensselaer Polytechnic Inst., Troy,","institution_ids":["https://openalex.org/I73544541"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.4083,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.96337171,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"17","issue":"4","first_page":"687","last_page":"695"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9984999895095825,"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":0.9984999895095825,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9965000152587891,"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/binary-logarithm","display_name":"Binary logarithm","score":0.5622539520263672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.558582603931427},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5292305946350098},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5195475220680237},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5092312097549438},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4573821425437927},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4525659382343292},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42043113708496094},{"id":"https://openalex.org/keywords/log-log-plot","display_name":"Log-log plot","score":0.41941386461257935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39504414796829224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3348988890647888}],"concepts":[{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5622539520263672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.558582603931427},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5292305946350098},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5195475220680237},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5092312097549438},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4573821425437927},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4525659382343292},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42043113708496094},{"id":"https://openalex.org/C195292467","wikidata":"https://www.wikidata.org/wiki/Q2091879","display_name":"Log-log plot","level":3,"score":0.41941386461257935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39504414796829224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3348988890647888},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/0217044","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0217044","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.17.4862","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.4862","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ncsu.edu/%7Ekaltofen/bibliography/88/MRK88.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.62.9119","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9119","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ncsu.edu/~kaltofen/bibliography/88/MRK88.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1655990431","https://openalex.org/W1972332180","https://openalex.org/W1972433940","https://openalex.org/W2013444956","https://openalex.org/W2038793519","https://openalex.org/W2067661972","https://openalex.org/W2076458424","https://openalex.org/W2080063509","https://openalex.org/W2081256023","https://openalex.org/W2088956149","https://openalex.org/W2113448924","https://openalex.org/W2130566259","https://openalex.org/W2141756364","https://openalex.org/W2147868775","https://openalex.org/W2149410722"],"related_works":["https://openalex.org/W2035522910","https://openalex.org/W2005615533","https://openalex.org/W4243665620","https://openalex.org/W1529311266","https://openalex.org/W2047234016","https://openalex.org/W2052169362","https://openalex.org/W1608733163","https://openalex.org/W2623150993","https://openalex.org/W2055932080","https://openalex.org/W2065008672"],"abstract_inverted_index":{"A":[0],"new":[1],"parallel":[2],"algorithm":[3,12],"is":[4,37],"given":[5],"to":[6],"evaluate":[7],"a":[8,14,17],"straight-line":[9],"program.":[10],"The":[11],"evaluates":[13],"program":[15],"over":[16,49],"commutative":[18],"semi-ring":[19,51],"R":[20,52],"of":[21,40],"degree":[22],"d":[23],"and":[24],"size":[25],"n":[26],"in":[27,53],"time":[28],"$O((\\log":[29],"n)(\\log":[30],"nd))$":[31],"using":[32],"$M(n)$":[33,36],"processors,":[34],"where":[35],"the":[38,50],"number":[39],"processors":[41],"required":[42],"for":[43],"multiplying":[44],"$n":[45],"\\times":[46],"n$":[47],"matrices":[48],"$O(\\log":[54],"n)$":[55],"time.":[56]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
