{"id":"https://openalex.org/W1770974247","doi":"https://doi.org/10.1007/978-3-540-30210-0_5","title":"A Paraconsistent Higher Order Logic","display_name":"A Paraconsistent Higher Order Logic","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1770974247","doi":"https://doi.org/10.1007/978-3-540-30210-0_5","mag":"1770974247"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-30210-0_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30210-0_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5005970338","display_name":"J\u00f8rgen Villadsen","orcid":"https://orcid.org/0000-0003-3624-1159"},"institutions":[{"id":"https://openalex.org/I107707843","display_name":"Roskilde University","ror":"https://ror.org/014axpa37","country_code":"DK","type":"education","lineage":["https://openalex.org/I107707843"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"J\u00f8rgen Villadsen","raw_affiliation_strings":["Computer Science, Roskilde University, Building 42.1, DK-4000, Roskilde, Denmark"],"affiliations":[{"raw_affiliation_string":"Computer Science, Roskilde University, Building 42.1, DK-4000, Roskilde, Denmark","institution_ids":["https://openalex.org/I107707843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005970338"],"corresponding_institution_ids":["https://openalex.org/I107707843"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4551,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65049416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"38","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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":0.9991000294685364,"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/paraconsistent-logic","display_name":"Paraconsistent logic","score":0.8823381662368774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6421822309494019},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.5940304398536682},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.5755323171615601},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.5670953392982483},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.537877082824707},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.49708297848701477},{"id":"https://openalex.org/keywords/truth-value","display_name":"Truth value","score":0.4905814230442047},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.4817545413970947},{"id":"https://openalex.org/keywords/philosophy-of-logic","display_name":"Philosophy of logic","score":0.4684733748435974},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.460593581199646},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.4569590091705322},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.45416906476020813},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.45123276114463806},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.43992897868156433},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34995484352111816},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.34603869915008545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31329894065856934},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.20827311277389526},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.08099886775016785}],"concepts":[{"id":"https://openalex.org/C16796852","wikidata":"https://www.wikidata.org/wiki/Q426592","display_name":"Paraconsistent logic","level":4,"score":0.8823381662368774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6421822309494019},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.5940304398536682},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.5755323171615601},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.5670953392982483},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.537877082824707},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.49708297848701477},{"id":"https://openalex.org/C46274116","wikidata":"https://www.wikidata.org/wiki/Q185521","display_name":"Truth value","level":2,"score":0.4905814230442047},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.4817545413970947},{"id":"https://openalex.org/C101874905","wikidata":"https://www.wikidata.org/wiki/Q2476757","display_name":"Philosophy of logic","level":2,"score":0.4684733748435974},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.460593581199646},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.4569590091705322},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.45416906476020813},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.45123276114463806},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.43992897868156433},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34995484352111816},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.34603869915008545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31329894065856934},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.20827311277389526},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.08099886775016785},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-30210-0_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30210-0_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W136232721","https://openalex.org/W633605838","https://openalex.org/W914834656","https://openalex.org/W1487409515","https://openalex.org/W1498831097","https://openalex.org/W1518877973","https://openalex.org/W1535673504","https://openalex.org/W1546768125","https://openalex.org/W1554021964","https://openalex.org/W1586167239","https://openalex.org/W1593617641","https://openalex.org/W1769049439","https://openalex.org/W1972314898","https://openalex.org/W1984820433","https://openalex.org/W1996404651","https://openalex.org/W2013410765","https://openalex.org/W2034155940","https://openalex.org/W2084797476","https://openalex.org/W2088900498","https://openalex.org/W2093713825","https://openalex.org/W2154273644","https://openalex.org/W2169262988","https://openalex.org/W3174395628","https://openalex.org/W4234528212","https://openalex.org/W4243380180","https://openalex.org/W4299731435","https://openalex.org/W4300622081"],"related_works":["https://openalex.org/W2092293513","https://openalex.org/W2153288022","https://openalex.org/W2140910855","https://openalex.org/W1770974247","https://openalex.org/W2406515025","https://openalex.org/W1999598455","https://openalex.org/W2952835335","https://openalex.org/W1873680480","https://openalex.org/W837246972","https://openalex.org/W3118267960"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}