{"id":"https://openalex.org/W2566693696","doi":"https://doi.org/10.1093/logcom/exw029","title":"One-step Heyting Algebras and Hypersequent Calculi with the Bounded Proof Property","display_name":"One-step Heyting Algebras and Hypersequent Calculi with the Bounded Proof Property","publication_year":2016,"publication_date":"2016-12-22","ids":{"openalex":"https://openalex.org/W2566693696","doi":"https://doi.org/10.1093/logcom/exw029","mag":"2566693696"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exw029","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exw029","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","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/A5045687469","display_name":"Nick Bezhanishvili","orcid":"https://orcid.org/0009-0005-6692-5051"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Nick Bezhanishvili","raw_affiliation_strings":["*Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail: N.Bezhanishvili@uva.nl","Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail:"],"affiliations":[{"raw_affiliation_string":"*Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail: N.Bezhanishvili@uva.nl","institution_ids":["https://openalex.org/I887064364"]},{"raw_affiliation_string":"Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail:","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041352997","display_name":"Silvio Ghilardi","orcid":"https://orcid.org/0000-0001-6449-6883"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Silvio Ghilardi","raw_affiliation_strings":["*Department of Mathematics, Universit\u00e0 degli Studi di Milano, via C. Saldini 50, 20133 Milano, Italy. E-mail: silvio.ghilardi@unimi.it","Department of Mathematics, Universit\u00e0 degli Studi di Milano, via C. Saldini 50, 20133 Milano, Italy. E-mail:"],"affiliations":[{"raw_affiliation_string":"*Department of Mathematics, Universit\u00e0 degli Studi di Milano, via C. Saldini 50, 20133 Milano, Italy. E-mail: silvio.ghilardi@unimi.it","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Department of Mathematics, Universit\u00e0 degli Studi di Milano, via C. Saldini 50, 20133 Milano, Italy. E-mail:","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084699680","display_name":"Frederik Lauridsen","orcid":"https://orcid.org/0000-0002-9131-9134"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Frederik M\u00f6llerstr\u00f6m Lauridsen","raw_affiliation_strings":["*Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail: f.m.lauridsen@uva.nl","Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail:"],"affiliations":[{"raw_affiliation_string":"*Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail: f.m.lauridsen@uva.nl","institution_ids":["https://openalex.org/I887064364"]},{"raw_affiliation_string":"Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090 GE Amsterdam, The Netherlands. E-mail:","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045687469"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.7214,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77366732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"exw029","last_page":"exw029"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6963861584663391},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6556301712989807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5784728527069092},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4838656187057495},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40189388394355774},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.11565223336219788},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1089451014995575},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.08283379673957825}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6963861584663391},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6556301712989807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5784728527069092},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4838656187057495},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40189388394355774},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.11565223336219788},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1089451014995575},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.08283379673957825}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/logcom/exw029","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exw029","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/df210795-8239-4e3f-88ef-d108e5b99a77","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/onestep-heyting-algebras-and-hypersequent-calculi-with-the-bounded-proof-property(df210795-8239-4e3f-88ef-d108e5b99a77).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bezhanishvili, N, Ghilardi, S & Lauridsen, F M 2017, 'One-step Heyting algebras and hypersequent calculi with the bounded proof property', Journal of Logic and Computation, vol. 27, no. 7, pp. 2135\u20132169. https://doi.org/10.1093/logcom/exw029","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:uvapub:oai:dare.uva.nl:publications/df210795-8239-4e3f-88ef-d108e5b99a77","is_oa":false,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/onestep-heyting-algebras-and-hypersequent-calculi-with-the-bounded-proof-property(df210795-8239-4e3f-88ef-d108e5b99a77).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Logic and Computation, 27(7). Oxford University Press","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W5662646","https://openalex.org/W82724731","https://openalex.org/W141387809","https://openalex.org/W621660039","https://openalex.org/W1480754868","https://openalex.org/W1602501515","https://openalex.org/W1795577507","https://openalex.org/W1826197316","https://openalex.org/W1857236967","https://openalex.org/W1983554661","https://openalex.org/W1984315394","https://openalex.org/W1987887112","https://openalex.org/W1990123412","https://openalex.org/W1990470938","https://openalex.org/W1991138028","https://openalex.org/W2000108579","https://openalex.org/W2023360154","https://openalex.org/W2036639698","https://openalex.org/W2038444809","https://openalex.org/W2041784286","https://openalex.org/W2057503265","https://openalex.org/W2062335537","https://openalex.org/W2070614314","https://openalex.org/W2073361881","https://openalex.org/W2082297482","https://openalex.org/W2089702017","https://openalex.org/W2093397547","https://openalex.org/W2093814492","https://openalex.org/W2131343001","https://openalex.org/W2142413595","https://openalex.org/W2160771441","https://openalex.org/W2169625109","https://openalex.org/W2169981414","https://openalex.org/W2286396437","https://openalex.org/W2396118102","https://openalex.org/W2399887059","https://openalex.org/W2461576207","https://openalex.org/W2529311106","https://openalex.org/W2549454486","https://openalex.org/W2799061192","https://openalex.org/W2799494962","https://openalex.org/W2949205883","https://openalex.org/W2963969921","https://openalex.org/W3106195477","https://openalex.org/W3121824157","https://openalex.org/W4211036707","https://openalex.org/W4239202159","https://openalex.org/W4249736722","https://openalex.org/W4388311772","https://openalex.org/W6639966046"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0,52],"investigate":[1],"proof-theoretic":[2],"properties":[3],"of":[4,27,48,79,96],"hypersequent":[5],"calculi":[6,63,97],"for":[7,64,98],"intermediate":[8,65,100],"logics":[9,66,101],"using":[10],"algebraic":[11],"methods.":[12],"More":[13],"precisely,":[14],"we":[15,84],"consider":[16],"a":[17,59,94],"new":[18],"weakly":[19],"analytic":[20],"subformula":[21,39],"property":[22,42,71,76],"(the":[23],"bounded":[24,69],"proof":[25,70],"property)":[26],"such":[28,102],"calculi.":[29,51],"Despite":[30],"being":[31],"strictly":[32],"weaker":[33],"than":[34],"both":[35],"cut-elimination":[36],"and":[37,57,72,105],"the":[38,68,73],"property,":[40],"this":[41,87],"is":[43],"sufficient":[44],"to":[45,93],"ensure":[46],"decidability":[47],"finitely":[49],"axiomatized":[50],"introduce":[53],"one-step":[54,80],"Heyting":[55,81],"algebras":[56],"establish":[58],"semantic":[60,88],"criterion":[61,89],"characterizing":[62],"with":[67],"finite":[74],"model":[75],"in":[77],"terms":[78],"algebras.":[82],"Finally,":[83],"show":[85],"how":[86],"can":[90],"be":[91],"applied":[92],"number":[95],"well-known":[99],"as":[103],"LC,KC":[104],"BD2\u2060.":[106]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-16T09:10:04.655348","created_date":"2025-10-10T00:00:00"}