{"id":"https://openalex.org/W4402238543","doi":"https://doi.org/10.46298/lmcs-20(3:20)2024","title":"Preservation theorems for Tarski's relation algebra","display_name":"Preservation theorems for Tarski's relation algebra","publication_year":2024,"publication_date":"2024-09-04","ids":{"openalex":"https://openalex.org/W4402238543","doi":"https://doi.org/10.46298/lmcs-20(3:20)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(3:20)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(3:20)2024","pdf_url":"https://lmcs.episciences.org/14201/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/14201/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089527287","display_name":"Bart Bogaerts","orcid":"https://orcid.org/0000-0003-3460-4251"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bart Bogaerts","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080220262","display_name":"Balder ten Cate","orcid":"https://orcid.org/0000-0002-2538-5846"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Balder ten Cate","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058982682","display_name":"Brett McLean","orcid":"https://orcid.org/0000-0003-2368-8357"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brett McLean","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089823917","display_name":"Jan Van den Bussche","orcid":"https://orcid.org/0000-0003-0072-3252"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jan Van den Bussche","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.319,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61729591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"Volume 20, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9775999784469604,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9775999784469604,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9603999853134155,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9397000074386597,"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/relation","display_name":"Relation (database)","score":0.5777550339698792},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5665521025657654},{"id":"https://openalex.org/keywords/relation-algebra","display_name":"Relation algebra","score":0.5209725499153137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.459170401096344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3703850507736206},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26227807998657227},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.19025784730911255},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.14416563510894775}],"concepts":[{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5777550339698792},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5665521025657654},{"id":"https://openalex.org/C10282146","wikidata":"https://www.wikidata.org/wiki/Q5965969","display_name":"Relation algebra","level":5,"score":0.5209725499153137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.459170401096344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3703850507736206},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26227807998657227},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.19025784730911255},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.14416563510894775},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.46298/lmcs-20(3:20)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(3:20)2024","pdf_url":"https://lmcs.episciences.org/14201/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/485ff0d6-c0d0-42c5-b4f9-410a9d4d647e","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/preservation-theorems-for-tarskis-relation-algebra(485ff0d6-c0d0-42c5-b4f9-410a9d4d647e).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bogaerts, B, ten Cate, B, McLean, B & Van den Bussche, J 2024, 'Preservation theorems for Tarski's relation algebra', Logical Methods in Computer Science, vol. 20, no. 3, 20. https://doi.org/10.46298/lmcs-20(3:20)2024, https://doi.org/10.48550/arXiv.2305.04656","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:archive.ugent.be:01JHFSQVP3FGVN79G8J772G0G9","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01JHFSQVP3FGVN79G8J772G0G9","pdf_url":"https://biblio.ugent.be/publication/01JHFSQVP3FGVN79G8J772G0G9/file/01JHFST184NMA42XJ2MTDE572X.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1860-5974","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:documentserver.uhasselt.be:1942/44319","is_oa":true,"landing_page_url":"http://hdl.handle.net/1942/44319","pdf_url":"https://documentserver.uhasselt.be//bitstream/1942/44319/1/xx.pdf","source":{"id":"https://openalex.org/S4306401926","display_name":"Document Server@UHasselt (UHasselt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I878454856","host_organization_name":"Hasselt University","host_organization_lineage":["https://openalex.org/I878454856"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/750221","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/750221","pdf_url":"https://lirias.kuleuven.be/retrieve/42ef8a83-cc73-422d-a9bf-293021f3830f","source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods In Computer Science, vol. 20 (3), Art.No. ARTN 20","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:179095","is_oa":true,"landing_page_url":"https://biblio.vub.ac.be/vubir/preservation-theorems-for-tarskis-relation-algebra(da74d398-d3e3-46c4-9017-69322a7c6af8).html","pdf_url":"https://biblio.vub.ac.be/vubirfiles/119622204/PreservationTarski.pdf","source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:dare.uva.nl:openaire/485ff0d6-c0d0-42c5-b4f9-410a9d4d647e","is_oa":true,"landing_page_url":"https://hdl.handle.net/11245.1/485ff0d6-c0d0-42c5-b4f9-410a9d4d647e","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bogaerts, B, ten Cate, B, McLean, B & Van den Bussche, J 2024, 'Preservation theorems for Tarski's relation algebra', Logical Methods in Computer Science, vol. 20, no. 3, 20. https://doi.org/10.46298/lmcs-20(3:20)2024, https://doi.org/10.48550/arXiv.2305.04656","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:0aabc79542ca4600ae1616505a27e6da","is_oa":true,"landing_page_url":"https://doaj.org/article/0aabc79542ca4600ae1616505a27e6da","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 20, Issue 3 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(3:20)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(3:20)2024","pdf_url":"https://lmcs.episciences.org/14201/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1480767920","display_name":null,"funder_award_id":"200021L 196176","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4266692030","display_name":null,"funder_award_id":"G0E2121N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5563793442","display_name":"Logic and Learning: an Algebra and Finite-Model-Theory Approach","funder_award_id":"101031081","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5799696092","display_name":null,"funder_award_id":"200021L","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6155754166","display_name":"Proof and Model Theory of Intuitionistic Temporal Logic","funder_award_id":"196176","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402238543.pdf","grobid_xml":"https://content.openalex.org/works/W4402238543.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2031282920","https://openalex.org/W1495493211","https://openalex.org/W2998460791","https://openalex.org/W1971681682"],"abstract_inverted_index":{"We":[0,18,32],"investigate":[1],"a":[2,27],"number":[3],"of":[4,8,11,30,72,95],"semantically":[5],"defined":[6],"fragments":[7],"Tarski's":[9],"algebra":[10],"binary":[12],"relations,":[13],"including":[14],"the":[15,20,43,79,103,118],"function-preserving":[16,57,76,105],"fragment.":[17],"address":[19],"question":[21],"whether":[22],"they":[23],"are":[24],"generated":[25,48,62,85,109,124],"by":[26,68,91,110,125],"finite":[28,51,70,93],"set":[29,71,94],"operations.":[31],"obtain":[33],"several":[34],"positive":[35],"and":[36,52,114,130],"negative":[37],"results":[38],"along":[39],"these":[40],"lines.":[41],"Specifically,":[42],"homomorphism-safe":[44],"fragment":[45,58,81,106,121],"is":[46,59,82,107,122],"finitely":[47,61,84,108,123],"(both":[49],"over":[50,53],"arbitrary":[54],"structures).":[55],"The":[56],"not":[60,66,83,89],"(and,":[63,86],"in":[64,87],"fact,":[65,88],"expressible":[67,90],"any":[69,92],"guarded":[73,96],"second-order":[74,97],"definable":[75,98],"operations).":[77,100],"Similarly,":[78,117],"total-function-preserving":[80,99],"In":[101],"contrast,":[102],"forward-looking":[104],"composition,":[111,126],"intersection,":[112,127],"antidomain,":[113,128],"preferential":[115],"union.":[116],"forward-and-backward-looking":[119],"injective-function-preserving":[120],"inverse,":[129],"an":[131],"`injective":[132],"union'":[133],"operation.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}
