{"id":"https://openalex.org/W2048781834","doi":"https://doi.org/10.1016/s1571-0661(05)80321-4","title":"Denotational Completeness Revisited","display_name":"Denotational Completeness Revisited","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2048781834","doi":"https://doi.org/10.1016/s1571-0661(05)80321-4","mag":"2048781834"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)80321-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80321-4","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(05)80321-4","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022583176","display_name":"Thomas Streicher","orcid":"https://orcid.org/0000-0001-6725-0168"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas STREICHER","raw_affiliation_strings":["Fachbereich Mathematik, TU Darmstadt Schlo\u0392gartenstr. 7, D-64289 Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, TU Darmstadt Schlo\u0392gartenstr. 7, D-64289 Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022583176"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":null,"apc_paid":null,"fwci":2.0778,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.88451615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"29","issue":null,"first_page":"288","last_page":"300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9918000102043152,"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/kripke-structure","display_name":"Kripke structure","score":0.7924049496650696},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.7251102328300476},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.6002457737922668},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5396192073822021},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5332647562026978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5195120573043823},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4656561017036438},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.45852863788604736},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4517369866371155},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.4402990937232971},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.43312543630599976},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3840973973274231},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34970080852508545},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2979329228401184},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.2487269639968872},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2362673282623291},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21505677700042725},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.16978546977043152},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.1531907021999359},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14702337980270386},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.06352061033248901}],"concepts":[{"id":"https://openalex.org/C161913894","wikidata":"https://www.wikidata.org/wiki/Q1077740","display_name":"Kripke structure","level":3,"score":0.7924049496650696},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.7251102328300476},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.6002457737922668},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5396192073822021},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5332647562026978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5195120573043823},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4656561017036438},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.45852863788604736},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4517369866371155},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.4402990937232971},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.43312543630599976},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3840973973274231},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34970080852508545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2979329228401184},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.2487269639968872},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2362673282623291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21505677700042725},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.16978546977043152},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.1531907021999359},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14702337980270386},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.06352061033248901},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"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/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s1571-0661(05)80321-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80321-4","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:10.1.1.24.6425","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.6425","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathematik.tu-darmstadt.de/~streicher/DCR/ctcs.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)80321-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80321-4","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1555249251","https://openalex.org/W1591846509","https://openalex.org/W1605806361","https://openalex.org/W2095436832","https://openalex.org/W2911865844","https://openalex.org/W6635396240"],"related_works":["https://openalex.org/W2403418519","https://openalex.org/W3111905456","https://openalex.org/W2004665970","https://openalex.org/W2482057698","https://openalex.org/W4232501171","https://openalex.org/W4251538115","https://openalex.org/W2039904055","https://openalex.org/W4205932853","https://openalex.org/W2002701178","https://openalex.org/W2952481855"],"abstract_inverted_index":{"We":[0],"define":[1],"a":[2,19,24],"notion":[3],"of":[4,10,26,29,36,38,47,67,107],"Kripke":[5,15,51],"logical":[6,16,52,100],"predicate":[7,17],"for":[8],"models":[9],"classical":[11],"linear":[12],"logic.":[13],"A":[14,21,30,39,48],"on":[18,54,98,102],"type":[20],"will":[22,40],"be":[23,41],"set":[25],"generalised":[27],"elements":[28,46],"satisfying":[31,49],"certain":[32],"closure":[33],"properties.":[34],"Denotations":[35],"proofs":[37],"characterised":[42],"as":[43],"those":[44],"global":[45],"all":[50],"predicates":[53],"A.":[55],"The":[56],"work":[57,97],"reported":[58],"in":[59,78,81],"this":[60],"paper":[61],"was":[62],"done":[63],"during":[64],"my":[65],"visit":[66],"the":[68,76,103],"research":[69],"group":[70],"Logique":[71],"de":[72],"la":[73],"Programmation":[74],"at":[75],"CNRS":[77],"Luminy":[79],"(Marseille)":[80],"autumn":[82],"1998.":[83],"In":[84],"particular":[85],"I":[86],"am":[87],"indebted":[88],"Thomas":[89],"Ehrhard":[90],"who":[91],"patiently":[92],"explained":[93],"to":[94],"me":[95],"his":[96],"non\u2013Kripke":[99],"relations":[101],"coherence":[104],"space":[105],"model":[106],"Linear":[108],"Logic.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}