{"id":"https://openalex.org/W7166859603","doi":"https://doi.org/10.18653/v1/2026.findings-acl.1938","title":"Time-for-Accuracy: Formalizing Chain-of-Thought as an Expansion of Logical Depth","display_name":"Time-for-Accuracy: Formalizing Chain-of-Thought as an Expansion of Logical Depth","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7166859603","doi":"https://doi.org/10.18653/v1/2026.findings-acl.1938"},"language":null,"primary_location":{"id":"doi:10.18653/v1/2026.findings-acl.1938","is_oa":true,"landing_page_url":"https://doi.org/10.18653/v1/2026.findings-acl.1938","pdf_url":"https://aclanthology.org/2026.findings-acl.1938.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Findings of the Association for Computational Linguistics: ACL 2026","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://aclanthology.org/2026.findings-acl.1938.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139797702","display_name":"Yue Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yue Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139805752","display_name":"Zhi Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhi Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139719661","display_name":"Xi Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang Xi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139764509","display_name":"Chengjie Sun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chengjie Sun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139792751","display_name":"Lili Shan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lili Shan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5139740190","display_name":"Bingquan Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bingquan Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.86409396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"38925","last_page":"38941"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11883","display_name":"Embodied and Extended Cognition","score":0.156700000166893,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11883","display_name":"Embodied and Extended Cognition","score":0.156700000166893,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.06780000030994415,"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/T11592","display_name":"Phenomenology and Existential Philosophy","score":0.045099999755620956,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.2833000123500824},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.2581999897956848},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.2493000030517578},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.2402999997138977}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.569599986076355},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32120001316070557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31790000200271606},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.2833000123500824},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25920000672340393},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.2493000030517578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24420000612735748},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2402999997138977},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2393999993801117}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.18653/v1/2026.findings-acl.1938","is_oa":true,"landing_page_url":"https://doi.org/10.18653/v1/2026.findings-acl.1938","pdf_url":"https://aclanthology.org/2026.findings-acl.1938.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Findings of the Association for Computational Linguistics: ACL 2026","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.18653/v1/2026.findings-acl.1938","is_oa":true,"landing_page_url":"https://doi.org/10.18653/v1/2026.findings-acl.1938","pdf_url":"https://aclanthology.org/2026.findings-acl.1938.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Findings of the Association for Computational Linguistics: ACL 2026","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7166859603.pdf","grobid_xml":"https://content.openalex.org/works/W7166859603.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Chain-of-thought":[0],"(CoT)":[1],"often":[2],"improves":[3],"multistep":[4],"reasoning,":[5],"but":[6],"it":[7,180],"remains":[8,139],"unclear":[9],"what":[10],"kind":[11],"of":[12,44,70,90],"additional":[13,182],"sequential":[14,33,53,184],"computation":[15],"longer":[16,175],"traces":[17],"actually":[18],"enable.We":[19],"connect":[20],"CoT":[21,42,176],"to":[22,36,105],"Bennett's":[23],"logical":[24],"depth,":[25,110],"separating":[26],"an":[27,125],"answer's":[28],"description":[29],"length":[30],"from":[31,102,135,154,194],"the":[32,99,107,129,133,136,150],"effort":[34],"required":[35,109],"derive":[37],"it,":[38],"and":[39,81,111,186],"view":[40],"a":[41,48,67,74,91,146],"budget":[43,100],"T":[45],"steps":[46,120,193],"as":[47,98],"qualitative":[49],"cap":[50],"on":[51],"realizable":[52],"computation.To":[54],"operationalize":[55],"realized":[56],"depth":[57],"beyond":[58],"raw":[59],"length,":[60],"we":[61,85],"introduce":[62],"Effective":[63],"Logical":[64],"Depth":[65],"(ELD),":[66],"deletion-based":[68,188],"measure":[69],"step":[71],"necessity":[72],"under":[73,170],"specified":[75],"inference":[76],"interface.Across":[77],"depth-controlled":[78],"prefix-sum":[79],"tasks":[80],"GSM8K":[82],"rationale":[83,156],"perturbations,":[84],"observe":[86],"two":[87],"consistent":[88],"signatures":[89],"Time-for-Accuracy":[92],"tradeoff:":[93],"(i)":[94],"plateauto-transition":[95],"accuracy":[96],"curves":[97],"increases":[101],"being":[103],"below":[104],"matching":[106],"task's":[108],"(ii)":[112],"sparse,":[113],"positiondependent":[114],"deletion":[115],"sensitivity":[116],"concentrated":[117],"in":[118],"early":[119],"for":[121],"deeper":[122],"instances.On":[123],"GSM8K,":[124],"EXTRACT":[126],"interface,":[127,148],"where":[128,149],"model":[130,151],"reads":[131],"off":[132],"answer":[134],"remaining":[137],"rationale,":[138],"near-perfect":[140],"even":[141],"after":[142],"prefix":[143],"deletions,":[144],"whereas":[145],"REPAIR":[147],"must":[152],"re-solve":[153],"truncated":[155],"context,":[157],"degrades":[158],"markedly.Moreover,":[159],"SOCRATIC":[160],"human":[161],"rationales":[162,169],"are":[163],"consistently":[164],"more":[165],"robust":[166],"than":[167],"MAIN":[168],"REPAIR.These":[171],"results":[172],"suggest":[173],"that":[174,187],"helps":[177],"primarily":[178],"when":[179],"enables":[181],"effective":[183],"computation,":[185],"diagnostics":[189],"can":[190],"distinguish":[191],"computational":[192],"redundant":[195],"ones.":[196]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2026-07-02T00:00:00"}