{"id":"https://openalex.org/W2093058451","doi":"https://doi.org/10.1007/bf01888228","title":"The projection of systolic programs","display_name":"The projection of systolic programs","publication_year":1990,"publication_date":"1990-03-01","ids":{"openalex":"https://openalex.org/W2093058451","doi":"https://doi.org/10.1007/bf01888228","mag":"2093058451"},"language":"en","primary_location":{"id":"doi:10.1007/bf01888228","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01888228","pdf_url":null,"source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of 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/A5001151726","display_name":"Christian Lengauer","orcid":"https://orcid.org/0000-0002-2717-3417"},"institutions":[{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. Lengauer","raw_affiliation_strings":["Programming Research Group, Oxford University Computing Laboratory, 8-11 Keble Road, OX1 3QD, Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Programming Research Group, Oxford University Computing Laboratory, 8-11 Keble Road, OX1 3QD, Oxford, UK","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111782789","display_name":"J. W. Sanders","orcid":null},"institutions":[{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J. W. Sanders","raw_affiliation_strings":["Programming Research Group, Oxford University Computing Laboratory, 8-11 Keble Road, OX1 3QD, Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Programming Research Group, Oxford University Computing Laboratory, 8-11 Keble Road, OX1 3QD, Oxford, UK","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.9448,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76329152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"1","first_page":"273","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9945999979972839,"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":0.9945999979972839,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9871000051498413,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9824000000953674,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/occam","display_name":"occam","score":0.9091079235076904},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.8345767855644226},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6223322153091431},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5451663136482239},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5112047791481018},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5064901113510132},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4994664192199707},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4908078610897064},{"id":"https://openalex.org/keywords/systolic-array","display_name":"Systolic array","score":0.47565004229545593},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4111672043800354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40843942761421204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3444975018501282},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1438145637512207},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13946756720542908}],"concepts":[{"id":"https://openalex.org/C78469957","wikidata":"https://www.wikidata.org/wiki/Q838062","display_name":"occam","level":2,"score":0.9091079235076904},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8345767855644226},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6223322153091431},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5451663136482239},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5112047791481018},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5064901113510132},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4994664192199707},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4908078610897064},{"id":"https://openalex.org/C150741067","wikidata":"https://www.wikidata.org/wiki/Q2377218","display_name":"Systolic array","level":3,"score":0.47565004229545593},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4111672043800354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40843942761421204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3444975018501282},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1438145637512207},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13946756720542908},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01888228","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01888228","pdf_url":null,"source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.612.2541","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.612.2541","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.infosun.fim.uni-passau.de/cl/papers/LS90fac.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310620","display_name":"University of Texas at Austin","ror":"https://ror.org/00hj54h04"},{"id":"https://openalex.org/F4320320290","display_name":"University of Oxford","ror":"https://ror.org/052gg0110"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W63423099","https://openalex.org/W204278382","https://openalex.org/W1519538706","https://openalex.org/W1813547331","https://openalex.org/W1926364058","https://openalex.org/W2032092225","https://openalex.org/W2039154210","https://openalex.org/W2054388411","https://openalex.org/W2076212401","https://openalex.org/W2131377110","https://openalex.org/W2133291633","https://openalex.org/W2152198540","https://openalex.org/W2170121751","https://openalex.org/W2498119498","https://openalex.org/W4212811695"],"related_works":["https://openalex.org/W1984951496","https://openalex.org/W2024391838","https://openalex.org/W2735234633","https://openalex.org/W4240818040","https://openalex.org/W1972505840","https://openalex.org/W1494390509","https://openalex.org/W2093058451","https://openalex.org/W2028628824","https://openalex.org/W4230360791","https://openalex.org/W2093515745"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"scheme":[2,35],"is":[3,36],"presented":[4],"which":[5],"transforms":[6],"systolic":[7],"programs":[8],"with":[9,38],"a":[10],"two-dimensional":[11],"structure":[12],"to":[13],"one":[14],"dimension.":[15],"The":[16],"elementary":[17],"steps":[18],"of":[19,29],"the":[20,27,34],"transformation":[21],"are":[22],"justified":[23],"by":[24],"theorems":[25],"in":[26,41],"theory":[28],"communicating":[30],"sequential":[31],"processes":[32],"and":[33],"demonstrated":[37],"an":[39],"example":[40],"occam:":[42],"matrix":[43],"composition/decomposition.":[44]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
