{"id":"https://openalex.org/W2036746827","doi":"https://doi.org/10.1016/s1571-0661(04)00169-0","title":"On intuitionistic proof nets with additional rewrite rules and their approximations","display_name":"On intuitionistic proof nets with additional rewrite rules and their approximations","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2036746827","doi":"https://doi.org/10.1016/s1571-0661(04)00169-0","mag":"2036746827"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)00169-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)00169-0","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(04)00169-0","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103252086","display_name":"Satoshi Matsuoka","orcid":"https://orcid.org/0000-0003-2126-2926"},"institutions":[{"id":"https://openalex.org/I197274945","display_name":"Nagoya Institute of Technology","ror":"https://ror.org/055yf1005","country_code":"JP","type":"education","lineage":["https://openalex.org/I197274945"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Satoshi Matsuoka","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Faculty of Engineering, Nagoya Institute of Technology, Gokiso, Showa-Ku, 466-8555, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Faculty of Engineering, Nagoya Institute of Technology, Gokiso, Showa-Ku, 466-8555, Japan","institution_ids":["https://openalex.org/I197274945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103252086"],"corresponding_institution_ids":["https://openalex.org/I197274945"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1115567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":"2","first_page":"130","last_page":"144"},"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":0.9930999875068665,"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":0.9927999973297119,"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/structural-proof-theory","display_name":"Structural proof theory","score":0.6946246027946472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6521548628807068},{"id":"https://openalex.org/keywords/analytic-proof","display_name":"Analytic proof","score":0.6125672459602356},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.5480941534042358},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5466485619544983},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.511391818523407},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4888097941875458},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.48575499653816223},{"id":"https://openalex.org/keywords/net","display_name":"Net (polyhedron)","score":0.4608480632305145},{"id":"https://openalex.org/keywords/normalization-property","display_name":"Normalization property","score":0.42130860686302185},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.41211166977882385},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35550063848495483},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.3527511656284332},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34217774868011475},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25956255197525024},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.25275832414627075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25195029377937317}],"concepts":[{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.6946246027946472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6521548628807068},{"id":"https://openalex.org/C135754263","wikidata":"https://www.wikidata.org/wiki/Q4751136","display_name":"Analytic proof","level":3,"score":0.6125672459602356},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.5480941534042358},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5466485619544983},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.511391818523407},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4888097941875458},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.48575499653816223},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.4608480632305145},{"id":"https://openalex.org/C159333733","wikidata":"https://www.wikidata.org/wiki/Q7051809","display_name":"Normalization property","level":2,"score":0.42130860686302185},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.41211166977882385},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35550063848495483},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.3527511656284332},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34217774868011475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25956255197525024},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.25275832414627075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25195029377937317},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(04)00169-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)00169-0","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"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)00169-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)00169-0","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":[{"id":"https://metadata.un.org/sdg/4","score":0.550000011920929,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W172933754","https://openalex.org/W1487251594","https://openalex.org/W1603473135","https://openalex.org/W1706480804","https://openalex.org/W1974087219","https://openalex.org/W2034676877","https://openalex.org/W2095436832","https://openalex.org/W2149829226","https://openalex.org/W2323145263","https://openalex.org/W2911865844","https://openalex.org/W6607071489","https://openalex.org/W6636027920"],"related_works":["https://openalex.org/W171706349","https://openalex.org/W2922318846","https://openalex.org/W3193550244","https://openalex.org/W2461509449","https://openalex.org/W187835144","https://openalex.org/W2626436722","https://openalex.org/W153148314","https://openalex.org/W3173957725","https://openalex.org/W1586813864","https://openalex.org/W2119682046"],"abstract_inverted_index":{"First":[0],"we":[1,51],"present":[2],"a":[3],"proof":[4,27,59,72],"nets":[5,28,60],"system":[6],"with":[7],"eight":[8,42],"additional":[9],"rewrite":[10,43],"rules,":[11],"which":[12],"concerns":[13],"ordering":[14],"of":[15,17,26,65,69,79],"introductions":[16],"exponential-links":[18],"and":[19,48],"are":[20],"only":[21],"applied":[22],"to":[23],"normal":[24],"forms":[25],"in":[29,81],"the":[30,36,63,66],"usual":[31],"sense.":[32],"We":[33],"show":[34],"that":[35],"reduction":[37],"relation":[38],"generated":[39],"by":[40],"these":[41],"rules":[44],"is":[45,76],"strong":[46],"normalizing":[47],"confluent.":[49],"Second":[50],"propose":[52],"an":[53,70,77],"simply":[54],"judged":[55],"equality":[56],"on":[57,62],"intuitionistic":[58,71],"based":[61],"notion":[64,75],"main":[67],"path":[68],"net.":[73],"The":[74],"analogue":[78],"B\u00f6hm-trees":[80],"\u03bb-calculus.":[82]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
