{"id":"https://openalex.org/W851658754","doi":"https://doi.org/10.1007/s11225-015-9616-1","title":"Reduction Rules for Intuitionistic $${{\\lambda}{\\rho}}$$ \u03bb \u03c1 -calculus","display_name":"Reduction Rules for Intuitionistic $${{\\lambda}{\\rho}}$$ \u03bb \u03c1 -calculus","publication_year":2015,"publication_date":"2015-05-25","ids":{"openalex":"https://openalex.org/W851658754","doi":"https://doi.org/10.1007/s11225-015-9616-1","mag":"851658754"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-015-9616-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-015-9616-1","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","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/A5019957756","display_name":"Ken-etsu Fujita","orcid":null},"institutions":[{"id":"https://openalex.org/I165735259","display_name":"Gunma University","ror":"https://ror.org/046fm7598","country_code":"JP","type":"education","lineage":["https://openalex.org/I165735259"]},{"id":"https://openalex.org/I258063972","display_name":"Kiryu University","ror":"https://ror.org/02snehe53","country_code":"JP","type":"education","lineage":["https://openalex.org/I258063972"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ken-etsu Fujita","raw_affiliation_strings":["Department of Computer Science, Gunma University, Tenjin-cho, Kiryu-shi, Japan","Department of Computer Science, Gunma University, Tenjin-cho, Kiryu-shi, Japan 376-8515#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Gunma University, Tenjin-cho, Kiryu-shi, Japan","institution_ids":["https://openalex.org/I258063972","https://openalex.org/I165735259"]},{"raw_affiliation_string":"Department of Computer Science, Gunma University, Tenjin-cho, Kiryu-shi, Japan 376-8515#TAB#","institution_ids":["https://openalex.org/I165735259"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019550945","display_name":"Ryo Kashima","orcid":"https://orcid.org/0000-0001-7399-3152"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ryo Kashima","raw_affiliation_strings":["Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan","Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan 152-8552#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan 152-8552#TAB#","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002000683","display_name":"Yuichi Komori","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yuichi Komori","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016875451","display_name":"Naosuke Matsuda","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Naosuke Matsuda","raw_affiliation_strings":["Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan","Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan 152-8552#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Japan 152-8552#TAB#","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002000683","https://openalex.org/A5016875451","https://openalex.org/A5019550945","https://openalex.org/A5019957756"],"corresponding_institution_ids":["https://openalex.org/I114531698","https://openalex.org/I165735259","https://openalex.org/I258063972"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00868526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"103","issue":"6","first_page":"1225","last_page":"1244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983000159263611,"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/T11567","display_name":"semigroups and automata theory","score":0.9975000023841858,"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/natural-deduction","display_name":"Natural deduction","score":0.8731552958488464},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.7810823917388916},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.7300589084625244},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6968073844909668},{"id":"https://openalex.org/keywords/church-encoding","display_name":"Church encoding","score":0.6427268385887146},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.6393625736236572},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.6171792149543762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6125432848930359},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.555208683013916},{"id":"https://openalex.org/keywords/system-f","display_name":"System F","score":0.5492461323738098},{"id":"https://openalex.org/keywords/minimal-logic","display_name":"Minimal logic","score":0.5389876961708069},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5219406485557556},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.5129985213279724},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.5099846124649048},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.4615288972854614},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.43923380970954895},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4186648726463318},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4035496413707733},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.3921981453895569},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3868272304534912},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24571514129638672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22039669752120972},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2138982117176056},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.11692348122596741},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08148092031478882},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.07270854711532593},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.0603577196598053}],"concepts":[{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.8731552958488464},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.7810823917388916},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.7300589084625244},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6968073844909668},{"id":"https://openalex.org/C77736955","wikidata":"https://www.wikidata.org/wiki/Q1089708","display_name":"Church encoding","level":5,"score":0.6427268385887146},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.6393625736236572},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.6171792149543762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6125432848930359},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.555208683013916},{"id":"https://openalex.org/C55128367","wikidata":"https://www.wikidata.org/wiki/Q2552799","display_name":"System F","level":3,"score":0.5492461323738098},{"id":"https://openalex.org/C171482190","wikidata":"https://www.wikidata.org/wiki/Q3257974","display_name":"Minimal logic","level":5,"score":0.5389876961708069},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5219406485557556},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.5129985213279724},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.5099846124649048},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.4615288972854614},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.43923380970954895},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4186648726463318},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4035496413707733},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.3921981453895569},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3868272304534912},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24571514129638672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22039669752120972},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2138982117176056},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.11692348122596741},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08148092031478882},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.07270854711532593},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.0603577196598053},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11225-015-9616-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-015-9616-1","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W122683112","https://openalex.org/W1533707520","https://openalex.org/W1535521146","https://openalex.org/W1551714483","https://openalex.org/W1607021747","https://openalex.org/W1921642287","https://openalex.org/W2008920425","https://openalex.org/W2013654056","https://openalex.org/W2054680866","https://openalex.org/W2073040214","https://openalex.org/W2135287414","https://openalex.org/W2253420079"],"related_works":["https://openalex.org/W2761902706","https://openalex.org/W1581936953","https://openalex.org/W3003639979","https://openalex.org/W4205386752","https://openalex.org/W2153353244","https://openalex.org/W2036565723","https://openalex.org/W2042469880","https://openalex.org/W851658754","https://openalex.org/W2055962247","https://openalex.org/W2285424334"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
