{"id":"https://openalex.org/W2405370488","doi":"https://doi.org/10.1007/978-3-319-28228-2_7","title":"A Size-Proportionate Bijective Encoding of Lambda Terms as Catalan Objects Endowed with Arithmetic Operations","display_name":"A Size-Proportionate Bijective Encoding of Lambda Terms as Catalan Objects Endowed with Arithmetic Operations","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2405370488","doi":"https://doi.org/10.1007/978-3-319-28228-2_7","mag":"2405370488"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-28228-2_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-28228-2_7","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/A5042600106","display_name":"Paul Tarau","orcid":"https://orcid.org/0000-0001-7192-9421"},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"education","lineage":["https://openalex.org/I123534392"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul Tarau","raw_affiliation_strings":["Department of Computer Science and Engineering, University of North Texas, Denton, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of North Texas, Denton, USA","institution_ids":["https://openalex.org/I123534392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042600106"],"corresponding_institution_ids":["https://openalex.org/I123534392"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5006,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57721519,"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":"99","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9986000061035156,"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/T11567","display_name":"semigroups and automata theory","score":0.9986000061035156,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9969000220298767,"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":0.9922000169754028,"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/bijection","display_name":"Bijection","score":0.7903423309326172},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6518701314926147},{"id":"https://openalex.org/keywords/catalan-number","display_name":"Catalan number","score":0.6250530481338501},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.6211899518966675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6114637851715088},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5664474368095398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3452751636505127},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3394564986228943},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3392929434776306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12230855226516724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04862716794013977}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.7903423309326172},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6518701314926147},{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.6250530481338501},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.6211899518966675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6114637851715088},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5664474368095398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3452751636505127},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3394564986228943},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3392929434776306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12230855226516724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04862716794013977},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-28228-2_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-28228-2_7","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":28,"referenced_works":["https://openalex.org/W123238105","https://openalex.org/W850177946","https://openalex.org/W1511496239","https://openalex.org/W1564642430","https://openalex.org/W1799755352","https://openalex.org/W1966169317","https://openalex.org/W2004282542","https://openalex.org/W2007983321","https://openalex.org/W2009464583","https://openalex.org/W2014470854","https://openalex.org/W2091124910","https://openalex.org/W2095051069","https://openalex.org/W2108750038","https://openalex.org/W2114804254","https://openalex.org/W2125126351","https://openalex.org/W2141591284","https://openalex.org/W2143934903","https://openalex.org/W2154273644","https://openalex.org/W2186120329","https://openalex.org/W2296468158","https://openalex.org/W2396138705","https://openalex.org/W2568721247","https://openalex.org/W2914659449","https://openalex.org/W2963504583","https://openalex.org/W2966853842","https://openalex.org/W3098021658","https://openalex.org/W4256369010","https://openalex.org/W4300302225"],"related_works":["https://openalex.org/W4297942051","https://openalex.org/W2614584191","https://openalex.org/W2951906341","https://openalex.org/W2119910493","https://openalex.org/W4302394113","https://openalex.org/W1980917265","https://openalex.org/W1483532407","https://openalex.org/W2963864024","https://openalex.org/W2017364159","https://openalex.org/W2601322300"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}