{"id":"https://openalex.org/W1521303708","doi":"https://doi.org/10.1007/3-540-45013-0_2","title":"A Cut-Free Sequent Calculus for Pure Type Systems Verifying the Structural Rules of Gentzen/Kleene","display_name":"A Cut-Free Sequent Calculus for Pure Type Systems Verifying the Structural Rules of Gentzen/Kleene","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1521303708","doi":"https://doi.org/10.1007/3-540-45013-0_2","mag":"1521303708"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45013-0_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45013-0_2","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":"conference-paper","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/A5101876315","display_name":"Francisco Guti\u00e9rrez","orcid":"https://orcid.org/0000-0002-8090-5111"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Guti\u00e9rrez","raw_affiliation_strings":["Departamento de Lenguajes y Ciencias de la Computaci\u00f3n, Universidad de M\u00e1laga, Campus Teatinos, 29071, M\u00e1laga, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Lenguajes y Ciencias de la Computaci\u00f3n, Universidad de M\u00e1laga, Campus Teatinos, 29071, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028417919","display_name":"Blas C. Ruiz","orcid":null},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Blas Ruiz","raw_affiliation_strings":["Departamento de Lenguajes y Ciencias de la Computaci\u00f3n, Universidad de M\u00e1laga, Campus Teatinos, 29071, M\u00e1laga, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Lenguajes y Ciencias de la Computaci\u00f3n, Universidad de M\u00e1laga, Campus Teatinos, 29071, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I82767444"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5108,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.59569081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"17","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9986000061035156,"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/T10142","display_name":"Formal Methods in Verification","score":0.9962000250816345,"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/sequent-calculus","display_name":"Sequent calculus","score":0.854762852191925},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.6788690090179443},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.6269868612289429},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5429946184158325},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.520211398601532},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.5159205198287964},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.4770702123641968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44920408725738525},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4360814094543457},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.43440529704093933},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.42874765396118164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38528499007225037},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3364417850971222},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32606562972068787},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31885331869125366},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.19465917348861694},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12054207921028137},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07265940308570862},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.05052465200424194}],"concepts":[{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.854762852191925},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.6788690090179443},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.6269868612289429},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5429946184158325},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.520211398601532},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.5159205198287964},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.4770702123641968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44920408725738525},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4360814094543457},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.43440529704093933},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.42874765396118164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38528499007225037},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3364417850971222},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32606562972068787},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31885331869125366},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.19465917348861694},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12054207921028137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07265940308570862},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.05052465200424194},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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:10.1007/3-540-45013-0_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45013-0_2","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W4453196","https://openalex.org/W141452916","https://openalex.org/W145869046","https://openalex.org/W1483568252","https://openalex.org/W1563964833","https://openalex.org/W1604414549","https://openalex.org/W1608751598","https://openalex.org/W1990370351","https://openalex.org/W2026722727","https://openalex.org/W2039977878","https://openalex.org/W2044758536","https://openalex.org/W2045947583","https://openalex.org/W2058338325","https://openalex.org/W2075337691","https://openalex.org/W2118612811","https://openalex.org/W2120300141","https://openalex.org/W2134699386","https://openalex.org/W2338893390","https://openalex.org/W2398461955","https://openalex.org/W2911379300","https://openalex.org/W3023993646","https://openalex.org/W3135320517","https://openalex.org/W4210927669","https://openalex.org/W6634772692"],"related_works":["https://openalex.org/W3112266304","https://openalex.org/W2584381231","https://openalex.org/W1562648369","https://openalex.org/W2351433375","https://openalex.org/W2137780954","https://openalex.org/W2891688494","https://openalex.org/W2513857873","https://openalex.org/W2009791150","https://openalex.org/W1479042755","https://openalex.org/W2793983771"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}