{"id":"https://openalex.org/W1657826747","doi":"https://doi.org/10.3233/fi-1998-36235","title":"A Uniform Axiomatic View of Lists, Multisets, and Sets, and the Relevant Unification Algorithms","display_name":"A Uniform Axiomatic View of Lists, Multisets, and Sets, and the Relevant Unification Algorithms","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1657826747","doi":"https://doi.org/10.3233/fi-1998-36235","mag":"1657826747"},"language":"en","primary_location":{"id":"doi:10.3233/fi-1998-36235","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1998-36235","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5064407367","display_name":"Agostino Dovier","orcid":"https://orcid.org/0000-0003-2052-8593"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Agostino Dovier","raw_affiliation_strings":["Universit\u00e0 di Verona, dovier@sci.univr.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Verona, dovier@sci.univr.it","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042115100","display_name":"Alberto Policriti","orcid":"https://orcid.org/0000-0001-8502-5896"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Policriti","raw_affiliation_strings":["Universit\u00e0, di Udine, policrit@dimi.uniud.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0, di Udine, policrit@dimi.uniud.it","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062894556","display_name":"Gianfranco Rossi","orcid":"https://orcid.org/0000-0002-6970-8790"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianfranco Rossi","raw_affiliation_strings":["Universit\u00e0 di Parma, gianfr@prmat.math.unipr.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Parma, gianfr@prmat.math.unipr.it","institution_ids":["https://openalex.org/I124601658"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3696,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.94321679,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"36","issue":"2-3","first_page":"201","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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/T10126","display_name":"Logic, programming, and type systems","score":0.994700014591217,"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/unification","display_name":"Unification","score":0.9139920473098755},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.624137818813324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5217555165290833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48726120591163635},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.4664200246334076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46381136775016785},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4076279103755951},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3840044438838959},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10735902190208435}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.9139920473098755},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.624137818813324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5217555165290833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48726120591163635},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.4664200246334076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46381136775016785},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4076279103755951},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3840044438838959},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10735902190208435},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/fi-1998-36235","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1998-36235","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.26.1421","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.1421","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.unipr.it/~gianfr/PAPERS/FundInfo.DPR98.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.4827","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.4827","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.dimi.uniud.it/pub/dovier/funda_36_98.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W31561947","https://openalex.org/W52074576","https://openalex.org/W93706558","https://openalex.org/W140533449","https://openalex.org/W1508864129","https://openalex.org/W1519522813","https://openalex.org/W1585022015","https://openalex.org/W1589346249","https://openalex.org/W1996920632","https://openalex.org/W2018944629","https://openalex.org/W2036311242","https://openalex.org/W2063727779","https://openalex.org/W2077162222","https://openalex.org/W2113722134","https://openalex.org/W2118148896","https://openalex.org/W2122279342","https://openalex.org/W2153217522"],"related_works":["https://openalex.org/W1771651560","https://openalex.org/W2386897142","https://openalex.org/W4300725361","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W4289976264","https://openalex.org/W3101572115","https://openalex.org/W2127270425","https://openalex.org/W329313523","https://openalex.org/W59712964"],"abstract_inverted_index":{"The":[0,100],"first-order":[1],"theories":[2,63,83],"of":[3,13,16,51,56,73,94],"lists,":[4],"multisets,":[5],"compact":[6],"lists":[7,9],"(i.e.,":[8],"where":[10],"the":[11,36,44,49,57,61,71,77,82,95],"number":[12],"contiguous":[14],"occurrences":[15],"each":[17],"element":[18],"is":[19,67],"immaterial),":[20],"and":[21],"sets":[22],"are":[23,29],"introduced":[24],"via":[25],"axioms.":[26],"Such":[27],"axiomatizations":[28],"shown":[30],"to":[31,60,90,110],"be":[32,86,105],"very":[33],"well-suited":[34],"for":[35,76,113],"integration":[37],"with":[38,92],"free":[39],"functor":[40],"symbols":[41],"governed":[42],"by":[43],"classical":[45],"Clark's":[46],"axioms":[47],"in":[48,70],"context":[50],"(Constraint)":[52],"Logic":[53],"Programming.":[54],"Adaptations":[55],"extensionality":[58],"principle":[59],"various":[62],"taken":[64],"into":[65],"account":[66],"then":[68],"exploited":[69],"design":[72],"unification":[74,101],"algorithms":[75,102],"considered":[78],"data":[79,97],"structures.":[80],"All":[81],"presented":[84],"can":[85,104],"combined":[87,106],"providing":[88],"frameworks":[89],"deal":[91],"several":[93],"proposed":[96,103],"structures":[98],"simultaneously.":[99],"(merged)":[107],"as":[108],"well,":[109],"produce":[111],"engines":[112],"such":[114],"combination":[115],"theories.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
