{"id":"https://openalex.org/W2004983195","doi":"https://doi.org/10.1016/s1571-0661(04)80571-1","title":"Classifying categories for partial equational logic","display_name":"Classifying categories for partial equational logic","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W2004983195","doi":"https://doi.org/10.1016/s1571-0661(04)80571-1","mag":"2004983195"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80571-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80571-1","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80571-1","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073765060","display_name":"Lutz Schr\u00f6der","orcid":"https://orcid.org/0000-0002-3146-5906"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lutz Schr\u00f6der","raw_affiliation_strings":["BISS, Department of Computer Science, Universit\u00e4t Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"BISS, Department of Computer Science, Universit\u00e4t Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073765060"],"corresponding_institution_ids":["https://openalex.org/I180437899"],"apc_list":null,"apc_paid":null,"fwci":2.8469,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.89920949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"69","issue":null,"first_page":"305","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9940000176429749,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9710000157356262,"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/finitary","display_name":"Finitary","score":0.9254159927368164},{"id":"https://openalex.org/keywords/cartesian-closed-category","display_name":"Cartesian closed category","score":0.773405909538269},{"id":"https://openalex.org/keywords/partial-function","display_name":"Partial function","score":0.7722710967063904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7113507986068726},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6862207651138306},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6391905546188354},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5233070850372314},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5167195200920105},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.49604281783103943},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.45885732769966125},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.45142900943756104},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3000990152359009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17257332801818848},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0839381217956543},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05862241983413696}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.9254159927368164},{"id":"https://openalex.org/C171032842","wikidata":"https://www.wikidata.org/wiki/Q1725874","display_name":"Cartesian closed category","level":2,"score":0.773405909538269},{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.7722710967063904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7113507986068726},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6862207651138306},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6391905546188354},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5233070850372314},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5167195200920105},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.49604281783103943},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.45885732769966125},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.45142900943756104},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3000990152359009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17257332801818848},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0839381217956543},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05862241983413696},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s1571-0661(04)80571-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80571-1","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.18.7716","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.7716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.informatik.uni-bremen.de/~lschrode/hascasl/classcat.ps","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80571-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80571-1","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W100575602","https://openalex.org/W981129589","https://openalex.org/W1428083088","https://openalex.org/W1512697204","https://openalex.org/W1549977012","https://openalex.org/W1567910670","https://openalex.org/W1633776801","https://openalex.org/W1978210364","https://openalex.org/W2005219276","https://openalex.org/W2005230371","https://openalex.org/W2022837260","https://openalex.org/W2032017843","https://openalex.org/W2039029018","https://openalex.org/W2040125385","https://openalex.org/W2049362364","https://openalex.org/W2070706877","https://openalex.org/W2088027070","https://openalex.org/W2090190027","https://openalex.org/W2104169671","https://openalex.org/W2107674601","https://openalex.org/W2120713972","https://openalex.org/W2146255646","https://openalex.org/W2157560459","https://openalex.org/W2205910441","https://openalex.org/W2324455841","https://openalex.org/W2914230643","https://openalex.org/W3000555422","https://openalex.org/W4237267313","https://openalex.org/W4243711577","https://openalex.org/W4249471896","https://openalex.org/W6604038667","https://openalex.org/W6628178229","https://openalex.org/W6636935847","https://openalex.org/W6675761081","https://openalex.org/W6688270174","https://openalex.org/W7046489447"],"related_works":["https://openalex.org/W2315030491","https://openalex.org/W2372920785","https://openalex.org/W2550443614","https://openalex.org/W1693746038","https://openalex.org/W2803019536","https://openalex.org/W2360162611","https://openalex.org/W2001165666","https://openalex.org/W2004983195","https://openalex.org/W4387583941","https://openalex.org/W2076375891"],"abstract_inverted_index":{"Along":[0],"the":[1,23,36,52],"lines":[2],"of":[3,18,29,73],"classical":[4],"categorical":[5],"type":[6],"theory":[7],"for":[8],"total":[9],"functions,":[10],"we":[11,40],"establish":[12],"correspondence":[13],"results":[14],"between":[15],"certain":[16,32],"classes":[17,28],"partial":[19,44,62,74],"equational":[20],"theories":[21,45],"on":[22,35],"one":[24],"hand":[25],"and":[26,60],"suitable":[27,71],"categories":[30,56],"having":[31],"finite":[33],"limits":[34],"other":[37],"hand.":[38],"E.g.,":[39],"show":[41],"that":[42,61],"finitary":[43],"with":[46,57,64],"existentially":[47],"conditioned":[48],"equations":[49],"are":[50,67],"essentially":[51],"same":[53],"as":[54],"cartesian":[55,75],"distinguished":[58],"domains,":[59],"\u03bb-calculi":[63],"internal":[65],"equality":[66],"equivalent":[68],"to":[69],"a":[70],"class":[72],"closed":[76],"categories.":[77]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}