{"id":"https://openalex.org/W2140165121","doi":"https://doi.org/10.1093/logcom/exl018","title":"Anytime Approximations of Classical Logic from Above","display_name":"Anytime Approximations of Classical Logic from Above","publication_year":2006,"publication_date":"2006-08-23","ids":{"openalex":"https://openalex.org/W2140165121","doi":"https://doi.org/10.1093/logcom/exl018","mag":"2140165121"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exl018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exl018","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/A5024395125","display_name":"Marcelo Finger","orcid":"https://orcid.org/0000-0002-1391-1175"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"M. Finger","raw_affiliation_strings":["Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil. Email:"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil. Email:","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031456220","display_name":"Renata Wassermann","orcid":"https://orcid.org/0000-0001-8065-1433"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"R. Wassermann","raw_affiliation_strings":["Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil. Email:"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil. Email:","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024395125"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.4657,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75575456,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"1","first_page":"53","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10215","display_name":"Semantic Web and Ontologies","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"}},{"id":"https://openalex.org/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9947999715805054,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.7410808205604553},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5950313806533813},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5210220813751221},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.5127512216567993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5126971006393433},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.4940638840198517},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.4495670199394226},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.430929958820343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4245133399963379},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.41133230924606323},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4110400080680847},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3788573741912842},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3314981460571289},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.31518203020095825},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29457950592041016},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27583229541778564},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10696640610694885}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7410808205604553},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5950313806533813},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5210220813751221},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.5127512216567993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5126971006393433},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.4940638840198517},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.4495670199394226},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.430929958820343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4245133399963379},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.41133230924606323},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4110400080680847},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3788573741912842},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3314981460571289},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31518203020095825},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29457950592041016},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27583229541778564},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10696640610694885},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/logcom/exl018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exl018","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:10.1.1.329.5060","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.329.5060","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cle.unicamp.br/principal/grupoglta/Thematic-Consrel-FAPESP/Report-02-2007/FW07.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W20075351","https://openalex.org/W77505103","https://openalex.org/W82633235","https://openalex.org/W1486686095","https://openalex.org/W1519683110","https://openalex.org/W1536217426","https://openalex.org/W1580324013","https://openalex.org/W1748481937","https://openalex.org/W1921707672","https://openalex.org/W1984806351","https://openalex.org/W2016515719","https://openalex.org/W2036869460","https://openalex.org/W2050160961","https://openalex.org/W2078434776","https://openalex.org/W2099449121","https://openalex.org/W2108309071","https://openalex.org/W2173851113","https://openalex.org/W2914728526","https://openalex.org/W3037932711"],"related_works":["https://openalex.org/W165158748","https://openalex.org/W2177097160","https://openalex.org/W4230210714","https://openalex.org/W2356894535","https://openalex.org/W4236824825","https://openalex.org/W2381500838","https://openalex.org/W2042169304","https://openalex.org/W2358978075","https://openalex.org/W4324106297","https://openalex.org/W4388296798"],"abstract_inverted_index":{"In":[0],"this":[1,128],"paper":[2],"we":[3],"present":[4],"s1,":[5],"a":[6,30,70,83,110],"family":[7,32,61],"of":[8,19,29,33,48,52,86,116,135],"logics":[9,34],"that":[10,44],"is":[11,121],"useful":[12],"to":[13,105,118,127],"disprove":[14],"propositional":[15,67],"formulas":[16],"by":[17,36],"means":[18],"an":[20,92],"anytime":[21],"approximation":[22,85,93],"process.":[23],"The":[24,60],"systems":[25],"follows":[26],"the":[27,49,65,125,133],"paradigm":[28],"parameterised":[31],"established":[35],"Schaerf\u2019s":[37],"and":[38,98],"Cadoli\u2019s":[39],"system":[40,74],"S1.":[41,102],"We":[42],"show":[43],"s1":[45,62,108,117,136],"inherits":[46],"several":[47,56],"nice":[50],"properties":[51,100],"S1,":[53],"while":[54],"presenting":[55],"attractive":[57],"new":[58],"properties.":[59],"deals":[63],"with":[64,91,95],"full":[66,84],"language,":[68],"has":[69],"complete":[71],"tableau":[72],"proof":[73],"which":[75],"provides":[76,109],"for":[77],"incremental":[78],"approximations;":[79],"furthermore":[80],"it":[81],"constitutes":[82],"classical":[87],"logic":[88],"from":[89,132],"above,":[90],"process":[94],"better":[96],"relevance":[97],"locality":[99],"than":[101],"When":[103],"applied":[104],"clausal":[106],"inference,":[107],"strong":[111],"simplification":[112],"method.":[113],"An":[114],"applications":[115],"model-based":[119],"diagnosis":[120],"presented,":[122],"demonstrating":[123],"how":[124],"solution":[126],"problem":[129],"can":[130],"benefit":[131],"use":[134],"approximations.":[137],"1":[138]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}