{"id":"https://openalex.org/W2285506025","doi":"https://doi.org/10.1017/s0960129515000419","title":"Lambda theories allowing terms with a finite number of fixed points","display_name":"Lambda theories allowing terms with a finite number of fixed points","publication_year":2015,"publication_date":"2015-07-29","ids":{"openalex":"https://openalex.org/W2285506025","doi":"https://doi.org/10.1017/s0960129515000419","mag":"2285506025"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129515000419","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000419","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in 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/A5038380237","display_name":"Benedetto Intrigila","orcid":null},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"BENEDETTO INTRIGILA","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Impresa, Universit\u00e0 di Roma \u2018Tor Vergata,\u2019Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Impresa, Universit\u00e0 di Roma \u2018Tor Vergata,\u2019Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103481023","display_name":"Richard Statman","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RICHARD STATMAN","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10107835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"27","issue":"3","first_page":"405","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9898999929428101,"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":0.9898999929428101,"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":0.9886000156402588,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9824000000953674,"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/combinatory-logic","display_name":"Combinatory logic","score":0.8541874885559082},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6620579361915588},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6519233584403992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6496678590774536},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.6130492091178894},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5635970234870911},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5097731947898865},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.49153074622154236},{"id":"https://openalex.org/keywords/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.45343154668807983},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43694815039634705},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.4349171221256256},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34954118728637695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21711811423301697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08972150087356567},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0649748146533966}],"concepts":[{"id":"https://openalex.org/C79678938","wikidata":"https://www.wikidata.org/wiki/Q1481571","display_name":"Combinatory logic","level":2,"score":0.8541874885559082},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6620579361915588},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6519233584403992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6496678590774536},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6130492091178894},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5635970234870911},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5097731947898865},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.49153074622154236},{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.45343154668807983},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43694815039634705},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.4349171221256256},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34954118728637695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21711811423301697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08972150087356567},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0649748146533966},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129515000419","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000419","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1833403382","https://openalex.org/W1982823696","https://openalex.org/W2009056279","https://openalex.org/W2026682644","https://openalex.org/W2087242991","https://openalex.org/W2154273644","https://openalex.org/W2530006810","https://openalex.org/W2568865948","https://openalex.org/W2905135108","https://openalex.org/W2915010338"],"related_works":["https://openalex.org/W2026765907","https://openalex.org/W4307413753","https://openalex.org/W1975604118","https://openalex.org/W119766800","https://openalex.org/W2087242991","https://openalex.org/W2146755812","https://openalex.org/W2226598862","https://openalex.org/W2092992954","https://openalex.org/W1552949294","https://openalex.org/W2007089758"],"abstract_inverted_index":{"A":[0,20,109],"natural":[1],"question":[2,25,41],"in":[3,51],"the":[4,9,39,43,55,64,104,134],"\u03bb-calculus":[5],"asks":[6],"what":[7],"is":[8,26,66,92,107],"possible":[10],"number":[11,44,65],"of":[12,15,31,45,48,57,96,114],"fixed":[13,46,85,131],"points":[14,47,132],"a":[16,49,58,88,97,115,119],"combinator":[17,50],"(closed":[18],"term).":[19],"complete":[21],"answer":[22],"to":[23],"this":[24,91],"still":[27],"missing":[28],"(Problem":[29],"25":[30],"TLCA":[32],"Open":[33],"Problems":[34],"List)":[35],"and":[36],"we":[37],"investigate":[38],"related":[40],"about":[42],"\u03bb-theories.":[52],"We":[53,71],"show":[54,73],"existence":[56],"recursively":[59],"enumerable":[60],"lambda":[61],"theory":[62],"where":[63,103],"always":[67],"one":[68],"or":[69],"infinite.":[70],"also":[72],"that":[74,79,124],"there":[75],"are":[76],"\u03bb-theories":[77],"such":[78],"some":[80,125],"terms":[81,126],"have":[82,128],"only":[83,129],"two":[84,130],"points.":[86],"In":[87],"first":[89],"example,":[90],"obtained":[93],"by":[94],"means":[95],"non-constructive":[98],"(more":[99],"precisely":[100],"non-r.e.)":[101],"\u03bb-theory":[102,117],"range":[105,135],"property":[106,136],"violated.":[108],"second,":[110],"more":[111],"complex":[112],"example":[113],"non-r.e.":[116],"(with":[118],"higher":[120],"unsolvability":[121],"degree)":[122],"shows":[123],"can":[127],"while":[133],"holds":[137],"for":[138],"every":[139],"term.":[140]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}