{"id":"https://openalex.org/W3046138748","doi":"https://doi.org/10.1093/jigpal/jzaa025","title":"The Russell-Prawitz embedding and the atomization of universal instantiation","display_name":"The Russell-Prawitz embedding and the atomization of universal instantiation","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3046138748","doi":"https://doi.org/10.1093/jigpal/jzaa025","mag":"3046138748"},"language":"en","primary_location":{"id":"pmh:oai:repositorioaberto.uab.pt:10400.2/10493","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.2/10493","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"journal article"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10400.2/10493","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055205012","display_name":"Jos\u00e9 Esp\u00edrito Santo","orcid":"https://orcid.org/0000-0002-6348-5653"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Esp\u00edrito Santo, Jos\u00e9","raw_affiliation_strings":["Centro de Matem\u00e1tica Universidade do Minho, 4710-057 Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica Universidade do Minho, 4710-057 Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012426547","display_name":"Gilda Ferreira","orcid":"https://orcid.org/0000-0003-1447-9764"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I201025148","display_name":"Universidade Aberta","ror":"https://ror.org/02rv3w387","country_code":"PT","type":"education","lineage":["https://openalex.org/I201025148"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Ferreira, Gilda","raw_affiliation_strings":["DCeT, Universidade Aberta, 1269-001 Lisboa, Portugal, CMAFcIO, Faculdade de Ci\u00eancias da Universidade de Lisboa, 1749-016 Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DCeT, Universidade Aberta, 1269-001 Lisboa, Portugal, CMAFcIO, Faculdade de Ci\u00eancias da Universidade de Lisboa, 1749-016 Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103","https://openalex.org/I201025148"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012426547"],"corresponding_institution_ids":["https://openalex.org/I141596103","https://openalex.org/I201025148"],"apc_list":null,"apc_paid":null,"fwci":0.268,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62253983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987999796867371,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.8428835272789001},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6206759214401245},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.5971924662590027},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5965476632118225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46653181314468384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4630688726902008},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.4565514922142029},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.45535990595817566},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.404765248298645},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3935616612434387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2909897267818451},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1659862995147705},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10602879524230957},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06911611557006836}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8428835272789001},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6206759214401245},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.5971924662590027},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5965476632118225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46653181314468384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4630688726902008},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.4565514922142029},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.45535990595817566},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.404765248298645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3935616612434387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2909897267818451},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1659862995147705},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10602879524230957},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06911611557006836},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:repositorioaberto.uab.pt:10400.2/10493","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.2/10493","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"journal article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/75419","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/75419","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"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":"","raw_type":null},{"id":"pmh:oai:repositorium.uminho.pt:1822/75419","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/75419","pdf_url":null,"source":null,"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"}],"best_oa_location":{"id":"pmh:oai:repositorioaberto.uab.pt:10400.2/10493","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.2/10493","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"journal article"},"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1161226026","display_name":null,"funder_award_id":"UID/MAT/04561/2019","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G545877289","display_name":null,"funder_award_id":"UID/ CEC/ 00408/ 2019","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G6738320923","display_name":"Center of Mathematics of the University of Minho","funder_award_id":"UIDB/00013/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G675164129","display_name":"Center of Mathematics of the University of Minho","funder_award_id":"UIDP/00013/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W159715351","https://openalex.org/W1795577507","https://openalex.org/W2026139892","https://openalex.org/W2079999798","https://openalex.org/W2115775190","https://openalex.org/W2469665705","https://openalex.org/W2510649957","https://openalex.org/W2914837968","https://openalex.org/W2923004144","https://openalex.org/W4206180205"],"related_works":["https://openalex.org/W1973480752","https://openalex.org/W2805502594","https://openalex.org/W4253208712","https://openalex.org/W2808944898","https://openalex.org/W1603677234","https://openalex.org/W3132641048","https://openalex.org/W2217679042","https://openalex.org/W2525971763","https://openalex.org/W2984753899","https://openalex.org/W2783178962"],"abstract_inverted_index":{"Given":[0],"the":[1,5,60,89,92,100,115,122],"recent":[2],"interest":[3],"in":[4,27],"fragment":[6,19],"of":[7,43,54,59,63,84,102],"system":[8,22,28,66,106],"F":[9,29],"where":[10],"universal":[11],"instantiation":[12],"is":[13,34],"restricted":[14],"to":[15,35,79,99],"atomic":[16],"formulas,":[17],"a":[18,74,81],"nowadays":[20],"named":[21],"Fat,":[23],"we":[24],"study":[25],"directly":[26,104],"new":[30,45],"conversions":[31],"whose":[32],"purpose":[33],"enforce":[36],"that":[37],"restriction.":[38],"We":[39],"show":[40],"some":[41],"benefits":[42],"these":[44],"atomization":[46],"conversions:":[47],"(i)":[48],"they":[49,69,87,110],"help":[50],"achieving":[51],"strict":[52,119],"simulation":[53,120],"proof":[55],"reduction":[56],"by":[57],"means":[58,112],"Russell\u2013Prawitz":[61,93,116],"embedding":[62,94],"IPC":[64,103],"into":[65,105,124],"F,":[67],"(ii)":[68],"are":[70],"not":[71],"stronger":[72],"than":[73],"certain":[75],"\u2018dinaturality\u2019":[76],"conversion":[77],"known":[78],"generate":[80],"consistent":[82],"equality":[83],"proofs,":[85],"(iii)":[86],"provide":[88],"bridge":[90],"between":[91],"and":[95,108],"another":[96],"translation,":[97],"due":[98],"authors,":[101],"Fat":[107,125],"(iv)":[109],"give":[111],"for":[113],"explaining&#13;\\nwhy":[114],"translation":[117,123],"achieves":[118],"whereas":[121],"does":[126],"not.":[127]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2020-08-03T00:00:00"}
