{"id":"https://openalex.org/W2937263200","doi":"https://doi.org/10.1017/s096012951900001x","title":"Abstract machines, optimal reduction, and streams","display_name":"Abstract machines, optimal reduction, and streams","publication_year":2019,"publication_date":"2019-04-08","ids":{"openalex":"https://openalex.org/W2937263200","doi":"https://doi.org/10.1017/s096012951900001x","mag":"2937263200"},"language":"en","primary_location":{"id":"doi:10.1017/s096012951900001x","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s096012951900001x","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":true,"oa_status":"green","oa_url":"https://iris.uniroma1.it/bitstream/11573/1408275/6/Lai_preprint_abstract_2019.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085028347","display_name":"Anna Chiara Lai","orcid":"https://orcid.org/0000-0003-2096-6753"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Anna Chiara Lai","raw_affiliation_strings":["Department of Basic and Applied Sciences for Engineering, Sapienza University of Rome, Via Antonio Scarpa 16, 00181 Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic and Applied Sciences for Engineering, Sapienza University of Rome, Via Antonio Scarpa 16, 00181 Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029371057","display_name":"Marco Pedicini","orcid":"https://orcid.org/0000-0002-9016-074X"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marco Pedicini","raw_affiliation_strings":["Department of Mathematics and Physics, Roma Tre University, Via della Vasca Navale 84, 00146 Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9016-074X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Roma Tre University, Via della Vasca Navale 84, 00146 Rome, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080400178","display_name":"Mario Piazza","orcid":"https://orcid.org/0000-0002-9545-3912"},"institutions":[{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mario Piazza","raw_affiliation_strings":["Classe di Lettere e Filosofia, Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Classe di Lettere e Filosofia, Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy","institution_ids":["https://openalex.org/I157210198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029371057"],"corresponding_institution_ids":["https://openalex.org/I119003972"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02980594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"9","first_page":"1379","last_page":"1410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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":0.9994000196456909,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.9814000129699707,"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/reduction","display_name":"Reduction (mathematics)","score":0.7432284355163574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7353245615959167},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6668407320976257},{"id":"https://openalex.org/keywords/abstract-machine","display_name":"Abstract machine","score":0.6423211693763733},{"id":"https://openalex.org/keywords/interpreter","display_name":"Interpreter","score":0.5851351618766785},{"id":"https://openalex.org/keywords/virtual-machine","display_name":"Virtual machine","score":0.47503426671028137},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.4470573663711548},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4388584792613983},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.41463494300842285},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3577866554260254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3450356721878052},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3346308469772339},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23142877221107483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2260456383228302},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07954683899879456}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7432284355163574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7353245615959167},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6668407320976257},{"id":"https://openalex.org/C88977235","wikidata":"https://www.wikidata.org/wiki/Q787114","display_name":"Abstract machine","level":2,"score":0.6423211693763733},{"id":"https://openalex.org/C122783720","wikidata":"https://www.wikidata.org/wiki/Q183065","display_name":"Interpreter","level":2,"score":0.5851351618766785},{"id":"https://openalex.org/C25344961","wikidata":"https://www.wikidata.org/wiki/Q192726","display_name":"Virtual machine","level":2,"score":0.47503426671028137},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.4470573663711548},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4388584792613983},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.41463494300842285},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3577866554260254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3450356721878052},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3346308469772339},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23142877221107483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2260456383228302},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07954683899879456},{"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":4,"locations":[{"id":"doi:10.1017/s096012951900001x","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s096012951900001x","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"},{"id":"pmh:oai:iris.uniroma1.it:11573/1408275","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1408275","pdf_url":"https://iris.uniroma1.it/bitstream/11573/1408275/6/Lai_preprint_abstract_2019.pdf","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma3.it:11590/348922","is_oa":false,"landing_page_url":"http://hdl.handle.net/11590/348922","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ricerca.sns.it:11384/78344","is_oa":true,"landing_page_url":"http://hdl.handle.net/11384/78344","pdf_url":null,"source":{"id":"https://openalex.org/S7407050981","display_name":"Scuola Normale Superiore di Pisa","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.uniroma1.it:11573/1408275","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1408275","pdf_url":"https://iris.uniroma1.it/bitstream/11573/1408275/6/Lai_preprint_abstract_2019.pdf","source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2937263200.pdf","grobid_xml":"https://content.openalex.org/works/W2937263200.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W31396267","https://openalex.org/W172933754","https://openalex.org/W203573882","https://openalex.org/W364766307","https://openalex.org/W1485153875","https://openalex.org/W1503809085","https://openalex.org/W1504307594","https://openalex.org/W1516725688","https://openalex.org/W1523047387","https://openalex.org/W1524744826","https://openalex.org/W1552338004","https://openalex.org/W1553954213","https://openalex.org/W1594985246","https://openalex.org/W1602419232","https://openalex.org/W1961717322","https://openalex.org/W1962657890","https://openalex.org/W1980647766","https://openalex.org/W1983303046","https://openalex.org/W1991300218","https://openalex.org/W2022873112","https://openalex.org/W2024902159","https://openalex.org/W2045271686","https://openalex.org/W2063179190","https://openalex.org/W2079948728","https://openalex.org/W2081130923","https://openalex.org/W2083251128","https://openalex.org/W2105475156","https://openalex.org/W2109065830","https://openalex.org/W2110661450","https://openalex.org/W2113757735","https://openalex.org/W2126684544","https://openalex.org/W2135815260","https://openalex.org/W2141493279","https://openalex.org/W2151044855","https://openalex.org/W2552773083","https://openalex.org/W2604190147","https://openalex.org/W2899220791","https://openalex.org/W2899490245","https://openalex.org/W2953092313","https://openalex.org/W3003421349","https://openalex.org/W4251535942","https://openalex.org/W4256506282","https://openalex.org/W4285719527","https://openalex.org/W6607016815","https://openalex.org/W6630295369","https://openalex.org/W6637381606","https://openalex.org/W6652578235","https://openalex.org/W6676681743","https://openalex.org/W6755818912"],"related_works":["https://openalex.org/W2564406933","https://openalex.org/W4287104292","https://openalex.org/W3173868218","https://openalex.org/W2163285555","https://openalex.org/W4321482609","https://openalex.org/W2547169621","https://openalex.org/W4311991664","https://openalex.org/W3086233589","https://openalex.org/W1570316772","https://openalex.org/W4287667262"],"abstract_inverted_index":{"Abstract":[0],"In":[1,87],"this":[2],"paper,":[3],"we":[4,39,89],"propose":[5],"and":[6,14,37],"explore":[7],"a":[8,26,59,75,93],"new":[9],"approach":[10],"to":[11,42,104],"abstract":[12,28,95],"machines":[13],"optimal":[15],"reduction":[16,35,80],"via":[17],"streams,":[18],"infinite":[19,105],"sequences":[20],"of":[21,31,53,62,85],"elements.":[22],"We":[23],"first":[24],"define":[25],"sequential":[27],"machine":[29],"capable":[30],"performing":[32],"directed":[33],"virtual":[34],"(DVR)":[36],"then":[38],"extend":[40],"it":[41],"its":[43],"parallel":[44],"version,":[45],"whose":[46],"equivalence":[47],"is":[48,58],"explained":[49],"through":[50],"the":[51,63,83],"properties":[52],"DVR":[54],"itself.":[55],"The":[56],"result":[57],"formal":[60],"definition":[61],"\u03bb":[64,78],"-calculus":[65,79],"interpreter":[66],"called":[67],"Parallel":[68],"Environment":[69],"for":[70,77],"Lambda":[71],"Calculus":[72],"Reduction":[73],"(PELCR),":[74],"software":[76],"based":[81],"on":[82],"Geometry":[84],"Interaction.":[86],"particular,":[88],"describe":[90],"PELCR":[91],"as":[92],"stream-processing":[94],"machine,":[96],"which":[97],"in":[98],"principle":[99],"can":[100],"also":[101],"be":[102],"applied":[103],"streams.":[106]},"counts_by_year":[],"updated_date":"2026-06-09T15:46:55.921056","created_date":"2019-04-25T00:00:00"}
