{"id":"https://openalex.org/W2053019050","doi":"https://doi.org/10.2178/jsl/1268917495","title":"Towards applied theories based on computability logic","display_name":"Towards applied theories based on computability logic","publication_year":2010,"publication_date":"2010-03-18","ids":{"openalex":"https://openalex.org/W2053019050","doi":"https://doi.org/10.2178/jsl/1268917495","mag":"2053019050"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1268917495","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1268917495","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":"The Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0805.3521","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Giorgi Japaridze","orcid":null},"institutions":[{"id":"https://openalex.org/I7863295","display_name":"Villanova University","ror":"https://ror.org/02g7kd627","country_code":"US","type":"education","lineage":["https://openalex.org/I7863295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Giorgi Japaridze","raw_affiliation_strings":["Department of Computing Sciences, Villanova University, 800 Lancaster Avenue, Villanova, Pa 19085, USA. E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing Sciences, Villanova University, 800 Lancaster Avenue, Villanova, Pa 19085, USA. E-mail:","institution_ids":["https://openalex.org/I7863295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I7863295"],"apc_list":null,"apc_paid":null,"fwci":2.8705,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90440592,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"75","issue":"2","first_page":"565","last_page":"601"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.28060001134872437,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.28060001134872437,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.19380000233650208,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.18870000541210175,"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/soundness","display_name":"Soundness","score":0.784500002861023},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.6155999898910522},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5145999789237976},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.4618000090122223},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.4474000036716461},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.4440999925136566},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.43689998984336853},{"id":"https://openalex.org/keywords/predicate-logic","display_name":"Predicate logic","score":0.4368000030517578},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4239000082015991},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.4219000041484833},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.42149999737739563}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.784500002861023},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.6155999898910522},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5145999789237976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49950000643730164},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.4618000090122223},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4474000036716461},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.4440999925136566},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.43689998984336853},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.4368000030517578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43380001187324524},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4239000082015991},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.42149999737739563},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.4171999990940094},{"id":"https://openalex.org/C39387531","wikidata":"https://www.wikidata.org/wiki/Q1096708","display_name":"Metatheory","level":2,"score":0.413100004196167},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.39399999380111694},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.37070000171661377},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.367900013923645},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.3637000024318695},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.361299991607666},{"id":"https://openalex.org/C102315432","wikidata":"https://www.wikidata.org/wiki/Q649732","display_name":"Formal system","level":2,"score":0.35920000076293945},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3531999886035919},{"id":"https://openalex.org/C101874905","wikidata":"https://www.wikidata.org/wiki/Q2476757","display_name":"Philosophy of logic","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.32089999318122864},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.3206999897956848},{"id":"https://openalex.org/C74992188","wikidata":"https://www.wikidata.org/wiki/Q239179","display_name":"Non-classical logic","level":3,"score":0.3197000026702881},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.31139999628067017},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.30630001425743103},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C9672783","wikidata":"https://www.wikidata.org/wiki/Q65122115","display_name":"Game semantics","level":5,"score":0.30570000410079956},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.30169999599456787},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2874000072479248},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.2825999855995178},{"id":"https://openalex.org/C144701195","wikidata":"https://www.wikidata.org/wiki/Q10859910","display_name":"Theory","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.26989999413490295}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1268917495","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1268917495","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0805.3521","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0805.3521","pdf_url":"https://arxiv.org/pdf/0805.3521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1268917495","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1268917495","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":{"id":"pmh:oai:arXiv.org:0805.3521","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0805.3521","pdf_url":"https://arxiv.org/pdf/0805.3521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1484853361","https://openalex.org/W1589830330","https://openalex.org/W1761985834","https://openalex.org/W1794149593","https://openalex.org/W1964882086","https://openalex.org/W1968811614","https://openalex.org/W1980921829","https://openalex.org/W1985872645","https://openalex.org/W2015274054","https://openalex.org/W2121000477","https://openalex.org/W4213193997","https://openalex.org/W4253236060","https://openalex.org/W6635150381"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Computability":[1],"logic":[2,11,27,111],"(CL)":[3],"is":[4,145],"a":[5,13,70,103,113,120,135,148,161,167],"recently":[6],"launched":[7],"program":[8],"for":[9,59,115,151],"redeveloping":[10],"as":[12,18,112,153],"formal":[14,22],"theory":[15,23],"of":[16,24,41,53,64,86,123,141,164,169,173,179],"computability,":[17],"opposed":[19],"to":[20,56,83,109,146,157],"the":[21,51,66,84,129,139,142,154,174],"truth":[25],"that":[26],"has":[28],"more":[29,61],"traditionally":[30],"been.":[31],"Formulas":[32],"in":[33],"it":[34],"represent":[35],"computational":[36],"problems,":[37],"\u201ctruth\u201d":[38],"means":[39],"existence":[40],"an":[42],"algorithmic":[43],"solution,":[44],"and":[45,75,79,93,98,182],"proofs":[46],"encode":[47],"such":[48,124],"solutions.":[49],"Within":[50],"line":[52,163],"research":[54,165],"devoted":[55],"finding":[57],"axiomatizations":[58],"ever":[60],"expressive":[62,97],"fragments":[63],"CL,":[65],"present":[67,143],"paper":[68,127],"introduces":[69],"new":[71,162],"deductive":[72,99],"system":[73],"CL12":[74,101],"proves":[76],"its":[77],"soundness":[78],"completeness":[80],"with":[81,166],"respect":[82],"semantics":[85],"CL.":[87],"Conservatively":[88],"extending":[89],"classical":[90,110],"predicate":[91],"calculus":[92],"offering":[94],"considerable":[95],"additional":[96],"power,":[100],"presents":[102],"reasonable,":[104],"computationally":[105],"meaningful,":[106],"constructive":[107],"alternative":[108],"basis":[114],"applied":[116,185],"theories.":[117],"To":[118],"obtain":[119],"model":[121],"example":[122],"theories,":[125],"this":[126],"rebuilds":[128],"traditional,":[130],"classical-logicbased":[131],"Peano":[132],"arithmetic":[133,181],"into":[134],"computability-logic-based":[136],"counterpart.":[137],"Among":[138],"purposes":[140],"contribution":[144],"provide":[147],"starting":[149],"point":[150],"what,":[152],"author":[155],"wishes":[156],"hope,":[158],"might":[159],"become":[160],"potential":[168],"interesting":[170],"findings\u2014an":[171],"exploration":[172],"presumably":[175],"quite":[176],"unusual":[177],"metatheory":[178],"CL-based":[180,184],"other":[183],"systems.":[186]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}