{"id":"https://openalex.org/W1976246538","doi":"https://doi.org/10.1142/s0129054192000097","title":"ON LEARNING LIMITING PROGRAMS","display_name":"ON LEARNING LIMITING PROGRAMS","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W1976246538","doi":"https://doi.org/10.1142/s0129054192000097","mag":"1976246538"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054192000097","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054192000097","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5111850796","display_name":"John Case","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JOHN CASE","raw_affiliation_strings":["Department of Computer and Information Sciences University of Delaware Newark, DE 19716, USA","Department of Computer and Information Sciences, University of Delaware, Newark, DE 19716, USA.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences University of Delaware Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Delaware, Newark, DE 19716, USA.#TAB#","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101627589","display_name":"Sanjay Jain","orcid":"https://orcid.org/0000-0001-6798-8330"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"SANJAY JAIN","raw_affiliation_strings":["Department of Computer and Information Sciences University of Delaware Newark, DE 19716, USA","Department of Computer and Information Sciences, University of Delaware, Newark, DE 19716, USA.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences University of Delaware Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Computer and Information Sciences, University of Delaware, Newark, DE 19716, USA.#TAB#","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008299613","display_name":"Arun Sharma","orcid":"https://orcid.org/0000-0002-5794-733X"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"ARUN SHARMA","raw_affiliation_strings":["School of Computer Science and Engineering The University of New South Wales Sdyney, NSW 2033, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering The University of New South Wales Sdyney, NSW 2033, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3912,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.87852155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"03","issue":"01","first_page":"93","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9973999857902527,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9973999857902527,"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":0.9957000017166138,"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/T11567","display_name":"semigroups and automata theory","score":0.9923999905586243,"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/iterated-function","display_name":"Iterated function","score":0.8851696252822876},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.8275142312049866},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.7659790515899658},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.498981237411499},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4655011296272278},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4567682445049286},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3974902331829071},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3514671325683594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08041295409202576}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.8851696252822876},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.8275142312049866},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.7659790515899658},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.498981237411499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4655011296272278},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4567682445049286},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3974902331829071},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3514671325683594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08041295409202576},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129054192000097","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054192000097","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.104.4502","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.4502","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.comp.nus.edu.sg/~sanjay/paps/limex.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3103325625","https://openalex.org/W1486898455","https://openalex.org/W3090727460","https://openalex.org/W2041905724","https://openalex.org/W2047986527","https://openalex.org/W4306313719","https://openalex.org/W2029404707","https://openalex.org/W3128682647","https://openalex.org/W1983011418","https://openalex.org/W1976246538"],"abstract_inverted_index":{"Machine":[0],"learning":[1,73,96],"of":[2,22,44,101,111],"limit":[3,24,53,65,79,84],"programs":[4,6,25,54,66,80,85,116],"(i.e.,":[5],"allowed":[7],"finitely":[8],"many":[9],"mind":[10],"changes":[11],"about":[12],"their":[13],"legitimate":[14],"outputs)":[15],"for":[16,55,67],"computable":[17,45],"functions":[18,46],"is":[19,26,35,70,75],"studied.":[20,28],"Learning":[21],"iterated":[23],"also":[27],"To":[29],"partially":[30],"motivate":[31],"these":[32],"studies,":[33],"it":[34],"shown":[36,71],"that,":[37],"in":[38,114],"some":[39],"cases,":[40],"interesting":[41],"global":[42],"properties":[43],"can":[47,58],"be":[48,60,88],"proved":[49,61],"from":[50,62],"suitable":[51],"(n+1)-iterated":[52,78],"them":[56],"which":[57],"not":[59],"any":[63],"n-iterated":[64,83],"them.":[68],"It":[69],"that":[72],"power":[74],"increased":[76],"when":[77],"rather":[81],"than":[82],"are":[86,93],"to":[87],"learned.":[89,117],"Many":[90],"trade-off":[91],"results":[92],"obtained":[94],"regarding":[95],"power,":[97],"number":[98,110],"(possibly":[99],"zero)":[100],"limits":[102],"taken,":[103],"program":[104],"size":[105],"constraints":[106],"and":[107,109],"information,":[108],"errors":[112],"tolerated":[113],"final":[115]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
