{"id":"https://openalex.org/W1984315394","doi":"https://doi.org/10.1007/s005000050047","title":"Cut-free proof systems for logics of weak excluded middle","display_name":"Cut-free proof systems for logics of weak excluded middle","publication_year":1999,"publication_date":"1999-02-26","ids":{"openalex":"https://openalex.org/W1984315394","doi":"https://doi.org/10.1007/s005000050047","mag":"1984315394"},"language":"en","primary_location":{"id":"doi:10.1007/s005000050047","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000050047","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing - A Fusion of Foundations, Methodologies and Applications","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/A5086733054","display_name":"Agata Ciabattoni","orcid":"https://orcid.org/0000-0001-6947-8772"},"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"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Ciabattoni","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 di Milano, Via Comelico, 39, Milano, Italy e-mail: ciabatto@dsi.unimi.it, , , , , , IT","Dipartimento di Informatica, Universit\u00e0 di Milano, Via Comelico, 39, Milano, Italy e-mail: ciabatto@dsi.unimi.it, , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 di Milano, Via Comelico, 39, Milano, Italy e-mail: ciabatto@dsi.unimi.it, , , , , , IT","institution_ids":["https://openalex.org/I189158943","https://openalex.org/I93860229"]},{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 di Milano, Via Comelico, 39, Milano, Italy e-mail: ciabatto@dsi.unimi.it, , IT","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073509717","display_name":"D.M. Gabbay","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D. M. Gabbay","raw_affiliation_strings":["Department of Computer Science, King\u2019s College, Strand, London WC2R 2LS, UK e-mail: dg@dcs.kcl.ac.uk, , , , , , GB","Department of Computer Science, King\u2019s College, Strand, London WC2R 2LS, UK e-mail: dg@dcs.kcl.ac.uk, GB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, King\u2019s College, Strand, London WC2R 2LS, UK e-mail: dg@dcs.kcl.ac.uk, , , , , , GB","institution_ids":["https://openalex.org/I4210119896"]},{"raw_affiliation_string":"Department of Computer Science, King\u2019s College, Strand, London WC2R 2LS, UK e-mail: dg@dcs.kcl.ac.uk, GB","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000093016","display_name":"Nicola Olivetti","orcid":"https://orcid.org/0000-0001-6254-3754"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"N. Olivetti","raw_affiliation_strings":["Departimento di Informatica, Universit\u00e0 di Torino, Corso Svizzera, 185, Torino, Italy e-mail: olivetti@di.unito.it, , , , , , IT","Departimento di Informatica, Universit\u00e0 di Torino, Corso Svizzera, 185, Torino, Italy e-mail: olivetti@di.unito.it, , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departimento di Informatica, Universit\u00e0 di Torino, Corso Svizzera, 185, Torino, Italy e-mail: olivetti@di.unito.it, , , , , , IT","institution_ids":["https://openalex.org/I55143463"]},{"raw_affiliation_string":"Departimento di Informatica, Universit\u00e0 di Torino, Corso Svizzera, 185, Torino, Italy e-mail: olivetti@di.unito.it, , IT","institution_ids":["https://openalex.org/I55143463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.8651,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.84130351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2","issue":"4","first_page":"147","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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":0.9988999962806702,"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":0.996999979019165,"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/axiom","display_name":"Axiom","score":0.7954224944114685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6749511957168579},{"id":"https://openalex.org/keywords/\u0142ukasiewicz-logic","display_name":"\u0141ukasiewicz logic","score":0.6622077226638794},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.5649750828742981},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.508621335029602},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4973638355731964},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4817509651184082},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.4568226933479309},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.43280094861984253},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.4311133027076721},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.421236515045166},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.41584187746047974},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3243010342121124},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.29655617475509644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23279350996017456},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.17340397834777832},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.15047594904899597}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7954224944114685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6749511957168579},{"id":"https://openalex.org/C206321295","wikidata":"https://www.wikidata.org/wiki/Q8080919","display_name":"\u0141ukasiewicz logic","level":5,"score":0.6622077226638794},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.5649750828742981},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.508621335029602},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4973638355731964},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4817509651184082},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.4568226933479309},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.43280094861984253},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.4311133027076721},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.421236515045166},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.41584187746047974},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3243010342121124},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.29655617475509644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23279350996017456},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.17340397834777832},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.15047594904899597},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s005000050047","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000050047","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing - A Fusion of Foundations, Methodologies and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.550000011920929,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W82724731","https://openalex.org/W1566552629","https://openalex.org/W1572370762","https://openalex.org/W1582628624","https://openalex.org/W1971043428","https://openalex.org/W2001730565","https://openalex.org/W2003060496","https://openalex.org/W2015456979","https://openalex.org/W2055279698","https://openalex.org/W2085956853","https://openalex.org/W2110182592","https://openalex.org/W2148682918","https://openalex.org/W2154114798","https://openalex.org/W2911865844"],"related_works":["https://openalex.org/W2055558461","https://openalex.org/W2158361713","https://openalex.org/W4294175725","https://openalex.org/W2952610483","https://openalex.org/W637989598","https://openalex.org/W193449051","https://openalex.org/W2036407372","https://openalex.org/W1967037961","https://openalex.org/W1207816824","https://openalex.org/W1968826078"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
