{"id":"https://openalex.org/W2132544545","doi":"https://doi.org/10.1017/s0960129500000517","title":"An Oxford survey of order sorted algebra","display_name":"An Oxford survey of order sorted algebra","publication_year":1994,"publication_date":"1994-09-01","ids":{"openalex":"https://openalex.org/W2132544545","doi":"https://doi.org/10.1017/s0960129500000517","mag":"2132544545"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129500000517","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000517","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","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/A5035441574","display_name":"Joseph A. Goguen","orcid":null},"institutions":[{"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"]},{"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"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Joseph Goguen","raw_affiliation_strings":["Programming Research Group, Oxford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Programming Research Group, Oxford University","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004995921","display_name":"R\u0103zvan Diaconescu","orcid":"https://orcid.org/0000-0003-0428-236X"},"institutions":[{"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"]},{"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"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"R\u0103zvan Diaconescu","raw_affiliation_strings":["Programming Research Group, Oxford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Programming Research Group, Oxford University","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035441574"],"corresponding_institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":6.2158,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.96489397,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"3","first_page":"363","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T10142","display_name":"Formal Methods in Verification","score":0.9979000091552734,"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/T10639","display_name":"Advanced Software Engineering Methodologies","score":0.9958999752998352,"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/variety","display_name":"Variety (cybernetics)","score":0.7088381052017212},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6059743762016296},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5198448300361633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5105499029159546},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.5023946762084961},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4753170609474182},{"id":"https://openalex.org/keywords/declaration","display_name":"Declaration","score":0.46837836503982544},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.43411290645599365},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4263920485973358},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3700869083404541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34539416432380676},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2808181643486023},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19396328926086426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14959290623664856},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.13123422861099243}],"concepts":[{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7088381052017212},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6059743762016296},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5198448300361633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5105499029159546},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.5023946762084961},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4753170609474182},{"id":"https://openalex.org/C138147947","wikidata":"https://www.wikidata.org/wiki/Q1183659","display_name":"Declaration","level":2,"score":0.46837836503982544},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.43411290645599365},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4263920485973358},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3700869083404541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34539416432380676},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2808181643486023},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19396328926086426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14959290623664856},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.13123422861099243},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129500000517","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000517","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.9578","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.9578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.imar.ro/download/diacon/survey.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.44.2889","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.44.2889","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-cse.ucsd.edu/users/goguen/pubs/../ps/survey.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W63176152","https://openalex.org/W112938687","https://openalex.org/W123933375","https://openalex.org/W149392635","https://openalex.org/W1489076785","https://openalex.org/W1503738996","https://openalex.org/W1504300023","https://openalex.org/W1520295824","https://openalex.org/W1528430173","https://openalex.org/W1541153481","https://openalex.org/W1544355983","https://openalex.org/W1545797722","https://openalex.org/W1556743088","https://openalex.org/W1724801387","https://openalex.org/W1786277717","https://openalex.org/W1996038999","https://openalex.org/W1998413900","https://openalex.org/W2010883554","https://openalex.org/W2013668092","https://openalex.org/W2029176884","https://openalex.org/W2036857782","https://openalex.org/W2049352524","https://openalex.org/W2061786858","https://openalex.org/W2062341323","https://openalex.org/W2065051061","https://openalex.org/W2078944436","https://openalex.org/W2107046473","https://openalex.org/W2107674601","https://openalex.org/W2109597998","https://openalex.org/W2132155232","https://openalex.org/W2132371811","https://openalex.org/W2170967726","https://openalex.org/W2319798085","https://openalex.org/W2483698302","https://openalex.org/W2597889119","https://openalex.org/W2788557412","https://openalex.org/W4388313847","https://openalex.org/W6653950330","https://openalex.org/W6666075078","https://openalex.org/W6679357615","https://openalex.org/W6735250832","https://openalex.org/W6990065289"],"related_works":["https://openalex.org/W3029612563","https://openalex.org/W2047600461","https://openalex.org/W2009650958","https://openalex.org/W2080268478","https://openalex.org/W3042952607","https://openalex.org/W1887191277","https://openalex.org/W2014538672","https://openalex.org/W2889728348","https://openalex.org/W2334954212","https://openalex.org/W2776018879"],"abstract_inverted_index":{"This":[0,86],"paper":[1,87],"surveys":[2],"several":[3],"different":[4],"variants":[5],"of":[6,15,77,104,113,119],"order":[7],"sorted":[8],"algebra":[9],"(abbreviated":[10],"OSA":[11,43,92],"),":[12],"comparing":[13],"some":[14,46,111],"the":[16,40,56,83,95],"main":[17],"approaches":[18],"(overloaded":[19],"OSA,":[20,22],"universe":[21],"unified":[23,142],"algebra,":[24,27],"term":[25],"declaration":[26],"etc":[28],".),":[29],"emphasising":[30],"motivation":[31],"and":[32,34,54,97,100,130],"intuitions,":[33],"pointing":[35],"out":[36],"features":[37,50],"that":[38],"distinguish":[39],"original":[41],"\u2018overloaded\u2019":[42],"approach":[44],"from":[45],"later":[47],"developments.":[48],"These":[49],"include":[51],"sort":[52],"constraints":[53],"retracts;":[55],"latter":[57],"is":[58],"particularly":[59],"useful":[60],"for":[61,75,110,122,141],"handling":[62],"multiple":[63],"data":[64],"representations":[65],"(including":[66],"automatic":[67],"coercions":[68],"among":[69],"them).":[70],"Many":[71],"examples":[72],"are":[73,80,125,138],"given,":[74],"most":[76],"which,":[78],"runs":[79],"shown":[81],"on":[82],"OBJ3":[84],"system.":[85],"also":[88,139],"significantly":[89],"generalises":[90],"overloaded":[91],"by":[93,101],"dropping":[94],"regularity":[96],"monotonicity":[98],"assumptions,":[99],"adding":[102],"signatures":[103],"non-monotonicities,":[105],"which":[106],"support":[107],"simple":[108],"semantics":[109],"aspects":[112],"object":[114],"oriented":[115],"programming.":[116],"A":[117],"number":[118],"new":[120],"results":[121,134],"this":[123],"generalisation":[124],"proved,":[126],"including":[127],"initiality,":[128],"variety,":[129],"quasi-variety":[131],"theorems.":[132],"Axiomatisability":[133],"\u00e0":[135],"la":[136],"Birkhoff":[137],"proved":[140],"algebras.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
