{"id":"https://openalex.org/W4285491326","doi":"https://doi.org/10.1007/s11225-022-10008-3","title":"The G4i Analogue of a G3i Sequent Calculus","display_name":"The G4i Analogue of a G3i Sequent Calculus","publication_year":2022,"publication_date":"2022-07-15","ids":{"openalex":"https://openalex.org/W4285491326","doi":"https://doi.org/10.1007/s11225-022-10008-3"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-022-10008-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-022-10008-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-022-10008-3.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11225-022-10008-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087051979","display_name":"Rosalie Iemhoff","orcid":"https://orcid.org/0000-0001-9975-9604"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Rosalie Iemhoff","raw_affiliation_strings":["Department of Philosophy and Religious Studies, Utrecht University, Janskerkhof 13, Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy and Religious Studies, Utrecht University, Janskerkhof 13, Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087051979"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.1327,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51620471,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"110","issue":"6","first_page":"1493","last_page":"1506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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":0.9997000098228455,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9966999888420105,"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/sequent-calculus","display_name":"Sequent calculus","score":0.7522264719009399},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.6570103168487549},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6398733854293823},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.6301500797271729},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6162024140357971},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5958598256111145},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5816419124603271},{"id":"https://openalex.org/keywords/normalization-property","display_name":"Normalization property","score":0.5403063893318176},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.539377748966217},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5184342861175537},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.5124581456184387},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.5046607255935669},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.4958389699459076},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.44202250242233276},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.43990007042884827},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43386927247047424},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.41059425473213196},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38734492659568787},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.37909844517707825},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.36681032180786133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2345530092716217},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22079825401306152},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.17341390252113342},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.07399997115135193},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0708569884300232},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06385084986686707},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.060617268085479736}],"concepts":[{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.7522264719009399},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.6570103168487549},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6398733854293823},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.6301500797271729},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6162024140357971},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5958598256111145},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5816419124603271},{"id":"https://openalex.org/C159333733","wikidata":"https://www.wikidata.org/wiki/Q7051809","display_name":"Normalization property","level":2,"score":0.5403063893318176},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.539377748966217},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5184342861175537},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.5124581456184387},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.5046607255935669},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.4958389699459076},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.44202250242233276},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.43990007042884827},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43386927247047424},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.41059425473213196},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38734492659568787},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.37909844517707825},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.36681032180786133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2345530092716217},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22079825401306152},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.17341390252113342},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.07399997115135193},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0708569884300232},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06385084986686707},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.060617268085479736},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11225-022-10008-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-022-10008-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-022-10008-3.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11225-022-10008-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-022-10008-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-022-10008-3.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G575407937","display_name":null,"funder_award_id":"639.073.807","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285491326.pdf","grobid_xml":"https://content.openalex.org/works/W4285491326.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W88360193","https://openalex.org/W127701250","https://openalex.org/W1952137785","https://openalex.org/W1969042337","https://openalex.org/W1983271240","https://openalex.org/W2014030742","https://openalex.org/W2031430534","https://openalex.org/W2092765780","https://openalex.org/W2127394739","https://openalex.org/W2131739376","https://openalex.org/W2709540868","https://openalex.org/W2744343994","https://openalex.org/W2896183143","https://openalex.org/W2908250557","https://openalex.org/W3008129210","https://openalex.org/W3101546648","https://openalex.org/W3171305237","https://openalex.org/W4214949915","https://openalex.org/W4236457686","https://openalex.org/W6640551368"],"related_works":["https://openalex.org/W2134382089","https://openalex.org/W2033813295","https://openalex.org/W2143833769","https://openalex.org/W4295728898","https://openalex.org/W162254089","https://openalex.org/W3090765541","https://openalex.org/W1492421865","https://openalex.org/W2106490090","https://openalex.org/W4386436366","https://openalex.org/W91153459"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2,68],"provides":[3],"a":[4,12,20,24,35,56],"method":[5,33],"to":[6,46,78],"obtain":[7],"terminating":[8,36,57],"analytic":[9,37],"calculi":[10],"for":[11,62],"large":[13],"class":[14],"of":[15,31,43,59,75],"intuitionistic":[16,63,79],"modal":[17,80],"logics.":[18],"For":[19],"given":[21],"logic":[22],"with":[23],"cut-free":[25],"calculus":[26,38,61],"that":[27,39],"is":[28,40],"an":[29,41,73],"extension":[30,42,74],"the":[32,60],"produces":[34],"and":[44],"equivalent":[45],".":[47],"was":[48],"introduced":[49],"by":[50],"Roy":[51],"Dyckhoff":[52],"in":[53],"1992":[54],"as":[55,72],"analogue":[58],"propositional":[64],"logic.":[65,81],"Thus":[66],"this":[67],"can":[69],"be":[70],"viewed":[71],"Dyckhoff\u2019s":[76],"work":[77]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
