{"id":"https://openalex.org/W2070034251","doi":"https://doi.org/10.1093/logcom/ext018","title":"Proof theory of witnessed G\u00f6del logic: A negative result","display_name":"Proof theory of witnessed G\u00f6del logic: A negative result","publication_year":2013,"publication_date":"2013-09-04","ids":{"openalex":"https://openalex.org/W2070034251","doi":"https://doi.org/10.1093/logcom/ext018","mag":"2070034251"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/ext018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/ext018","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/A5035315045","display_name":"Matthias Baaz","orcid":"https://orcid.org/0000-0002-7815-2501"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Matthias Baaz","raw_affiliation_strings":["Vienna University of Technology, Institute of Discrete Mathematics and Geometry, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Institute of Discrete Mathematics and Geometry, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086733054","display_name":"Agata Ciabattoni","orcid":"https://orcid.org/0000-0001-6947-8772"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Agata Ciabattoni","raw_affiliation_strings":["Vienna University of Technology, Department of Formal Languages, Theory and Logic Group, Favoritenstrasse 9-11, A-1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Department of Formal Languages, Theory and Logic Group, Favoritenstrasse 9-11, A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12378776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"1","first_page":"51","last_page":"64"},"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":0.9994999766349792,"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":0.9973000288009644,"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/many-valued-logic","display_name":"Many-valued logic","score":0.6809258460998535},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.618534505367279},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.6170732975006104},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.5990868806838989},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.5792741775512695},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.5747097134590149},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.5746896266937256},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5471826791763306},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.5352908372879028},{"id":"https://openalex.org/keywords/minimal-logic","display_name":"Minimal logic","score":0.5142444968223572},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.4850987195968628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47987237572669983},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.47939443588256836},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.43737921118736267},{"id":"https://openalex.org/keywords/paraconsistent-logic","display_name":"Paraconsistent logic","score":0.43570783734321594},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.43506312370300293},{"id":"https://openalex.org/keywords/philosophy-of-logic","display_name":"Philosophy of logic","score":0.42433929443359375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38135120272636414},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3381514251232147},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.25177037715911865},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.23190730810165405},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.17146998643875122},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15363013744354248},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14303717017173767},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.08306828141212463}],"concepts":[{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.6809258460998535},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.618534505367279},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.6170732975006104},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.5990868806838989},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.5792741775512695},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.5747097134590149},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.5746896266937256},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5471826791763306},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.5352908372879028},{"id":"https://openalex.org/C171482190","wikidata":"https://www.wikidata.org/wiki/Q3257974","display_name":"Minimal logic","level":5,"score":0.5142444968223572},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.4850987195968628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47987237572669983},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.47939443588256836},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.43737921118736267},{"id":"https://openalex.org/C16796852","wikidata":"https://www.wikidata.org/wiki/Q426592","display_name":"Paraconsistent logic","level":4,"score":0.43570783734321594},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.43506312370300293},{"id":"https://openalex.org/C101874905","wikidata":"https://www.wikidata.org/wiki/Q2476757","display_name":"Philosophy of logic","level":2,"score":0.42433929443359375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38135120272636414},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3381514251232147},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.25177037715911865},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.23190730810165405},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.17146998643875122},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15363013744354248},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14303717017173767},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.08306828141212463},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"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/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/logcom/ext018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/ext018","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:CiteSeerX.psu:10.1.1.591.7789","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.591.7789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.logic.at/staff/agata/baazciabattoniJLC.pdf","raw_type":"text"},{"id":"pmh:oai:open-archive.highwire.org:logcom:26/1/51","is_oa":false,"landing_page_url":"http://logcom.oxfordjournals.org/cgi/content/short/26/1/51","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.4300000071525574,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W607239742","https://openalex.org/W608460879","https://openalex.org/W1479710971","https://openalex.org/W1564824837","https://openalex.org/W1576841988","https://openalex.org/W1611875164","https://openalex.org/W1802022415","https://openalex.org/W1966718868","https://openalex.org/W1971043428","https://openalex.org/W1975789524","https://openalex.org/W1982983300","https://openalex.org/W1983382657","https://openalex.org/W1990470938","https://openalex.org/W2079144983","https://openalex.org/W2091957209","https://openalex.org/W2095768683","https://openalex.org/W2102625227","https://openalex.org/W2110182592","https://openalex.org/W2150732096","https://openalex.org/W2163609805","https://openalex.org/W2340126043","https://openalex.org/W2476903666","https://openalex.org/W2487204251","https://openalex.org/W2492799169","https://openalex.org/W2970205057","https://openalex.org/W4213268374","https://openalex.org/W4248156396","https://openalex.org/W4388311772","https://openalex.org/W6704146337"],"related_works":["https://openalex.org/W2557563739","https://openalex.org/W2092293513","https://openalex.org/W2754467536","https://openalex.org/W1608843844","https://openalex.org/W2619935969","https://openalex.org/W2070034251","https://openalex.org/W1968027005","https://openalex.org/W2006286500","https://openalex.org/W2092847864","https://openalex.org/W2604594915"],"abstract_inverted_index":{"We":[0,18],"introduce":[1],"a":[2,26,37],"first":[3],"sequent-style":[4],"calculus":[5,11],"for":[6,36],"witnessed":[7,45],"G\u00f6del":[8,46],"logic.":[9,61],"Our":[10],"makes":[12],"use":[13],"of":[14,32,40,59],"the":[15,30,57],"cut":[16],"rule.":[17],"show":[19],"that":[20],"this":[21],"is":[22],"inescapable":[23],"by":[24],"establishing":[25],"general":[27],"result":[28],"on":[29],"non-existence":[31],"suitable":[33],"analytic":[34],"calculi":[35],"large":[38],"class":[39],"first-order":[41],"logics.":[42],"These":[43],"include":[44],"logic,":[47],"(fragments":[48],"of)":[49],"\u0141ukasiewicz":[50],"logic":[51,54],"and":[52],"intuitionistic":[53],"extended":[55],"with":[56],"quantifiers":[58],"classical":[60]},"counts_by_year":[],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
