{"id":"https://openalex.org/W4416676306","doi":"https://doi.org/10.1007/978-981-95-4960-3_34","title":"Planning to\u00a0Prove: Improving Informal Proofs of\u00a0Olympiad Inequalities from\u00a0Large Language Models","display_name":"Planning to\u00a0Prove: Improving Informal Proofs of\u00a0Olympiad Inequalities from\u00a0Large Language Models","publication_year":2025,"publication_date":"2025-11-26","ids":{"openalex":"https://openalex.org/W4416676306","doi":"https://doi.org/10.1007/978-981-95-4960-3_34"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-95-4960-3_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-95-4960-3_34","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5024259930","display_name":"L\u00ea V\u01cen Th\u00e0nh","orcid":"https://orcid.org/0000-0003-0739-1385"},"institutions":[{"id":"https://openalex.org/I1315456113","display_name":"Vinh University","ror":"https://ror.org/0244cgm12","country_code":"VN","type":"education","lineage":["https://openalex.org/I1315456113"]},{"id":"https://openalex.org/I70349855","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50","country_code":"VN","type":"government","lineage":["https://openalex.org/I70349855"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Le Van Thanh","raw_affiliation_strings":["Cyber School, Vinh University, Nghean, Vietnam","Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cyber School, Vinh University, Nghean, Vietnam","institution_ids":["https://openalex.org/I1315456113"]},{"raw_affiliation_string":"Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I70349855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120614478","display_name":"Do Xuan Trong","orcid":null},"institutions":[{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Do Xuan Trong","raw_affiliation_strings":["School of Information and Communications Technology, Hanoi University of Science and Technology, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communications Technology, Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120428651","display_name":"Pham Duc Tinh","orcid":null},"institutions":[{"id":"https://openalex.org/I45756140","display_name":"Hanoi University of Industry","ror":"https://ror.org/05hhz4s12","country_code":"VN","type":"education","lineage":["https://openalex.org/I45756140"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Pham Duc Tinh","raw_affiliation_strings":["School of Information and Communications Technology, Hanoi University of Industry, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communications Technology, Hanoi University of Industry, Hanoi, Vietnam","institution_ids":["https://openalex.org/I45756140"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088628835","display_name":"Hai Van Pham","orcid":"https://orcid.org/0000-0001-8325-1662"},"institutions":[{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Hai Van Pham","raw_affiliation_strings":["School of Information and Communications Technology, Hanoi University of Science and Technology, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communications Technology, Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I94518387"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088628835"],"corresponding_institution_ids":["https://openalex.org/I94518387"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.4439332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"421","last_page":"434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.1348000019788742,"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.1348000019788742,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.09070000052452087,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10028","display_name":"Topic Modeling","score":0.07670000195503235,"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/mathematical-proof","display_name":"Mathematical proof","score":0.828499972820282},{"id":"https://openalex.org/keywords/olympiad","display_name":"Olympiad","score":0.8104000091552734},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.6244000196456909},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.5770000219345093},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5598999857902527},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.48350000381469727},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47029998898506165},{"id":"https://openalex.org/keywords/natural-language","display_name":"Natural language","score":0.39480000734329224}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.828499972820282},{"id":"https://openalex.org/C130383907","wikidata":"https://www.wikidata.org/wiki/Q221956","display_name":"Olympiad","level":2,"score":0.8104000091552734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7685999870300293},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.6244000196456909},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.5770000219345093},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5598999857902527},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.48350000381469727},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47029998898506165},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.39480000734329224},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3865000009536743},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36559998989105225},{"id":"https://openalex.org/C172347087","wikidata":"https://www.wikidata.org/wiki/Q3217196","display_name":"Language of mathematics","level":2,"score":0.35350000858306885},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.34369999170303345},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3057999908924103},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2971000075340271},{"id":"https://openalex.org/C146072743","wikidata":"https://www.wikidata.org/wiki/Q192161","display_name":"Formal language","level":2,"score":0.29580000042915344},{"id":"https://openalex.org/C2778383056","wikidata":"https://www.wikidata.org/wiki/Q873636","display_name":"Namespace","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.2680000066757202},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.2653999924659729},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.25589999556541443}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-95-4960-3_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-95-4960-3_34","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1480909796","https://openalex.org/W1483565071","https://openalex.org/W3178506813","https://openalex.org/W4250846042","https://openalex.org/W4387363029","https://openalex.org/W4391855109","https://openalex.org/W4393949013","https://openalex.org/W4400199015","https://openalex.org/W4401386758","https://openalex.org/W4406416147","https://openalex.org/W4406754779","https://openalex.org/W4408716009","https://openalex.org/W4409362112","https://openalex.org/W4410518572","https://openalex.org/W4411113222","https://openalex.org/W4411119350"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-11-27T00:00:00"}
