{"id":"https://openalex.org/W1987041205","doi":"https://doi.org/10.1145/2554850.2555040","title":"Arithmetic algorithms for hereditarily binary natural numbers","display_name":"Arithmetic algorithms for hereditarily binary natural numbers","publication_year":2014,"publication_date":"2014-03-24","ids":{"openalex":"https://openalex.org/W1987041205","doi":"https://doi.org/10.1145/2554850.2555040","mag":"1987041205"},"language":"en","primary_location":{"id":"doi:10.1145/2554850.2555040","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2554850.2555040","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 29th Annual ACM Symposium on Applied Computing","raw_type":"proceedings-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/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":["University of North Texas"],"affiliations":[{"raw_affiliation_string":"University of North Texas","institution_ids":["https://openalex.org/I123534392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078226400","display_name":"Bill P. Buckles","orcid":"https://orcid.org/0000-0002-3385-9933"},"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":false,"raw_author_name":"Bill Buckles","raw_affiliation_strings":["University of North Texas"],"affiliations":[{"raw_affiliation_string":"University of North Texas","institution_ids":["https://openalex.org/I123534392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042600106"],"corresponding_institution_ids":["https://openalex.org/I123534392"],"apc_list":null,"apc_paid":null,"fwci":3.2721,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.92635668,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1593","last_page":"1600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9955000281333923,"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":0.9955000281333923,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9950000047683716,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9944000244140625,"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/binary-tree","display_name":"Binary tree","score":0.6933428049087524},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6303087472915649},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.6084967851638794},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6002377867698669},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5907648801803589},{"id":"https://openalex.org/keywords/binary-search-tree","display_name":"Binary search tree","score":0.5583189725875854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5554907917976379},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5279216766357422},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5227325558662415},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5175846815109253},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.46573179960250854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4353176951408386},{"id":"https://openalex.org/keywords/binary-expression-tree","display_name":"Binary expression tree","score":0.42643752694129944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4226917326450348},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35629770159721375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.338390052318573},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08550438284873962}],"concepts":[{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.6933428049087524},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6303087472915649},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.6084967851638794},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6002377867698669},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5907648801803589},{"id":"https://openalex.org/C91154448","wikidata":"https://www.wikidata.org/wiki/Q623818","display_name":"Binary search tree","level":3,"score":0.5583189725875854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5554907917976379},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5279216766357422},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5227325558662415},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5175846815109253},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.46573179960250854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4353176951408386},{"id":"https://openalex.org/C166055160","wikidata":"https://www.wikidata.org/wiki/Q4913895","display_name":"Binary expression tree","level":3,"score":0.42643752694129944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4226917326450348},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35629770159721375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.338390052318573},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08550438284873962},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2554850.2555040","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2554850.2555040","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 29th Annual ACM Symposium on Applied Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1493847148","https://openalex.org/W1994728128","https://openalex.org/W2010081206","https://openalex.org/W2057871730","https://openalex.org/W2064695164","https://openalex.org/W2082738784","https://openalex.org/W2114108968","https://openalex.org/W2131286165","https://openalex.org/W2136232971","https://openalex.org/W2139672898","https://openalex.org/W2261622378","https://openalex.org/W2914032487","https://openalex.org/W2951613355","https://openalex.org/W4231202982","https://openalex.org/W6677373129"],"related_works":["https://openalex.org/W4232709447","https://openalex.org/W2077383771","https://openalex.org/W1510719821","https://openalex.org/W3022865202","https://openalex.org/W2501849745","https://openalex.org/W2371680642","https://openalex.org/W3169685561","https://openalex.org/W2056975861","https://openalex.org/W2123024824","https://openalex.org/W2135212710"],"abstract_inverted_index":{"In":[0],"a":[1,7],"typed":[2],"functional":[3],"language":[4],"we":[5],"specify":[6],"new":[8],"tree-based":[9],"number":[10],"representation,":[11],"hereditarily":[12],"binary":[13],"numbers,":[14],"defined":[15],"by":[16],"applying":[17],"recursively":[18],"run-length":[19],"encoding":[20],"of":[21],"bijective":[22],"base-2":[23],"digits.":[24]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}