{"id":"https://openalex.org/W3009953558","doi":null,"title":"Algebraic structures for program calculation","display_name":"Algebraic structures for program calculation","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W3009953558","mag":"3009953558"},"language":"en","primary_location":{"id":"pmh:oai:uni-augsburg.opus-bayern.de:59220","doi":null,"is_oa":true,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59220","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59220","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bookpart"},"volume":null,"type":"book-chapter","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59220","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067382949","display_name":"Bernhard M\u00f6ller","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bernhard M\u00f6ller","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5067382949"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8292,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84891304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9940999746322632,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9940999746322632,"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"}},{"id":"https://openalex.org/T10533","display_name":"Teaching and Learning Programming","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.0006000000284984708,"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/specification-derivation","display_name":"specification derivation","score":0.6800000071525574},{"id":"https://openalex.org/keywords/program-design","display_name":"program design","score":0.5049999952316284},{"id":"https://openalex.org/keywords/graph-algorithms","display_name":"graph algorithms","score":0.7739999890327454},{"id":"https://openalex.org/keywords/stream-processing","display_name":"stream processing","score":0.9990000128746033},{"id":"https://openalex.org/keywords/hardware-description","display_name":"hardware description","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5566250681877136},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48563352227211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4135028123855591},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40916708111763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3949573338031769},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26040101051330566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1371440291404724},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:uni-augsburg.opus-bayern.de:59220","doi":null,"is_oa":true,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59220","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59220","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bookpart"},{"id":"mag:3009953558","doi":null,"is_oa":false,"landing_page_url":"https://d-nb.info/1203546173/34","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:uni-augsburg.opus-bayern.de:59220","doi":null,"is_oa":true,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59220","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59220","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bookpart"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3009953558.pdf","grobid_xml":"https://content.openalex.org/works/W3009953558.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W25765579","https://openalex.org/W95792212","https://openalex.org/W117386814","https://openalex.org/W130083265","https://openalex.org/W130593649","https://openalex.org/W1482020985","https://openalex.org/W1483256715","https://openalex.org/W1483568252","https://openalex.org/W1494699263","https://openalex.org/W1503973138","https://openalex.org/W1504224784","https://openalex.org/W1507944585","https://openalex.org/W1512339036","https://openalex.org/W1515438066","https://openalex.org/W1528172215","https://openalex.org/W1534679741","https://openalex.org/W1535341347","https://openalex.org/W1543784048","https://openalex.org/W1547414429","https://openalex.org/W1560050980","https://openalex.org/W1570949334","https://openalex.org/W1576733362","https://openalex.org/W1576997872","https://openalex.org/W1589642822","https://openalex.org/W1655990431","https://openalex.org/W1701701809","https://openalex.org/W1812404936","https://openalex.org/W1816620374","https://openalex.org/W1857327297","https://openalex.org/W1857353355","https://openalex.org/W1964796077","https://openalex.org/W1992292825","https://openalex.org/W1996648065","https://openalex.org/W2006006495","https://openalex.org/W2007408338","https://openalex.org/W2017636267","https://openalex.org/W2030797349","https://openalex.org/W2045057107","https://openalex.org/W2046213250","https://openalex.org/W2046381502","https://openalex.org/W2060336880","https://openalex.org/W2079388778","https://openalex.org/W2087656024","https://openalex.org/W2093397547","https://openalex.org/W2096994945","https://openalex.org/W2097112237","https://openalex.org/W2103225125","https://openalex.org/W2132334337","https://openalex.org/W2148224873","https://openalex.org/W2504421574","https://openalex.org/W2617672360","https://openalex.org/W2913972601","https://openalex.org/W2914206182","https://openalex.org/W3144368627","https://openalex.org/W4231113774"],"related_works":["https://openalex.org/W2054485281","https://openalex.org/W1524477030","https://openalex.org/W7097257961","https://openalex.org/W1996164638","https://openalex.org/W2168798478","https://openalex.org/W6903943046","https://openalex.org/W223748434","https://openalex.org/W2166159458","https://openalex.org/W1749205010","https://openalex.org/W659498261"],"abstract_inverted_index":{"In":[0],"calculational":[1],"program":[2],"design":[3],"one":[4],"derives":[5],"implementations":[6],"from":[7,64],"specifications":[8],"using":[9],"semantics-preserving":[10],"deduction":[11],"rules.":[12],"The":[13],"aim":[14],"of":[15,43,60],"modern":[16],"algebraic":[17,44],"approaches":[18],"is":[19],"to":[20,70],"make":[21],"both":[22],"specification":[23],"and":[24,28],"calculation":[25],"more":[26],"concise":[27],"perspicuous":[29],"by":[30],"compacting":[31],"logic":[32],"into":[33],"algebra":[34],"as":[35,37],"much":[36],"possible.":[38],"We":[39],"present":[40],"a":[41,58],"collection":[42],"calculi":[45],"that":[46,62],"are":[47,53],"useful":[48],"in":[49,57],"this":[50],"activity.":[51],"They":[52],"shown":[54],"at":[55],"work":[56],"number":[59],"examples":[61],"range":[63],"graph":[65],"algorithms":[66],"over":[67],"stream":[68],"processing":[69],"hardware":[71],"description.":[72]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-03-13T00:00:00"}