{"id":"https://openalex.org/W2171818600","doi":"https://doi.org/10.2178/jsl/1096901773","title":"Filtering unification and most general unifiers in modal logic","display_name":"Filtering unification and most general unifiers in modal logic","publication_year":2004,"publication_date":"2004-09-01","ids":{"openalex":"https://openalex.org/W2171818600","doi":"https://doi.org/10.2178/jsl/1096901773","mag":"2171818600"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1096901773","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1096901773","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":"Journal of Symbolic Logic","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/A5041352997","display_name":"Silvio Ghilardi","orcid":"https://orcid.org/0000-0001-6449-6883"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvio Ghilardi","raw_affiliation_strings":["Dipartimento di Scienze Dell'informazione, Universit\u00e0 Degli Studi, Via Comelico 39, 20135 Milano, Italy, E-mail:"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Dell'informazione, Universit\u00e0 Degli Studi, Via Comelico 39, 20135 Milano, Italy, E-mail:","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005618470","display_name":"Lorenzo Sacchetti","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Sacchetti","raw_affiliation_strings":["Dipartimento di Scienze Dell'informazione, Universit\u00e0 Degli Studi, Via Comelico 39, 20135 Milano, Italy, E-mail:"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Dell'informazione, Universit\u00e0 Degli Studi, Via Comelico 39, 20135 Milano, Italy, E-mail:","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041352997"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":null,"apc_paid":null,"fwci":0.8994,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.82031158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"69","issue":"3","first_page":"879","last_page":"906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9976999759674072,"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":0.9764999747276306,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.9019373655319214},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6831520199775696},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6829226016998291},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6081748604774475},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5057590007781982},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.4746335446834564},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47418150305747986},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.4343026876449585},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42804449796676636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4174410104751587},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.41278210282325745},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3974143862724304},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3318328261375427},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.25783443450927734},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.10707584023475647},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0895071029663086}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.9019373655319214},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6831520199775696},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6829226016998291},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6081748604774475},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5057590007781982},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.4746335446834564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47418150305747986},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.4343026876449585},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42804449796676636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4174410104751587},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.41278210282325745},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3974143862724304},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3318328261375427},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25783443450927734},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.10707584023475647},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0895071029663086},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1096901773","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1096901773","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1096901773","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1096901773","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1497546070","https://openalex.org/W1507112684","https://openalex.org/W1510333080","https://openalex.org/W1519478560","https://openalex.org/W1532161068","https://openalex.org/W1987609246","https://openalex.org/W2004460530","https://openalex.org/W2025331328","https://openalex.org/W2032229737","https://openalex.org/W2046750700","https://openalex.org/W2049209348","https://openalex.org/W2071467583","https://openalex.org/W2075172817","https://openalex.org/W2077311448","https://openalex.org/W2077847391","https://openalex.org/W2093397547","https://openalex.org/W2108756969","https://openalex.org/W2120713972","https://openalex.org/W2483742494","https://openalex.org/W2493333586","https://openalex.org/W2592837392","https://openalex.org/W2614930862","https://openalex.org/W2911838076","https://openalex.org/W2970205057","https://openalex.org/W3022449549","https://openalex.org/W3047122219","https://openalex.org/W4236339255","https://openalex.org/W4300885858","https://openalex.org/W4388311772","https://openalex.org/W6661849776","https://openalex.org/W6669125973"],"related_works":["https://openalex.org/W2101793126","https://openalex.org/W142011187","https://openalex.org/W4318188140","https://openalex.org/W2795425183","https://openalex.org/W1988817063","https://openalex.org/W1530784265","https://openalex.org/W2188462059","https://openalex.org/W2549709684","https://openalex.org/W1909183225","https://openalex.org/W2534562289"],"abstract_inverted_index":{"Abstract.":[0],"We":[1,22],"characterize":[2],"(both":[3],"from":[4,48],"a":[5,25,56],"syntactic":[6],"and":[7],"an":[8],"algebraic":[9],"point":[10],"of":[11,31,38,43,63],"view)":[12],"the":[13,44,60,64],"normal":[14],"K":[15,39,49],"4-logics":[16],"for":[17,29],"which":[18],"unification":[19],"is":[20],"filtering.":[21],"also":[23],"give":[24],"sufficient":[26],"semantic":[27],"criterion":[28],"existence":[30],"most":[32],"general":[33],"unifiers,":[34],"covering":[35],"natural":[36],"extensions":[37],"4.2":[40],"+":[41],"(i.e.,":[42],"modal":[45,61],"system":[46],"obtained":[47],"4":[50],"by":[51],"adding":[52],"to":[53],"it,":[54],"as":[55],"further":[57],"axiom":[58],"schemata,":[59],"translation":[62],"weak":[65],"excluded":[66],"middle":[67],"principle).":[68]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
