{"id":"https://openalex.org/W7165690460","doi":"https://doi.org/10.48550/arxiv.2606.23516","title":"Towards an Automated Reasoning Tool for Complexity Analysis of Automated Reasoners","display_name":"Towards an Automated Reasoning Tool for Complexity Analysis of Automated Reasoners","publication_year":2026,"publication_date":"2026-06-22","ids":{"openalex":"https://openalex.org/W7165690460","doi":"https://doi.org/10.48550/arxiv.2606.23516"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.23516","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23516","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.23516","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023361802","display_name":"Louis Rustenholz","orcid":"https://orcid.org/0000-0002-1599-2431"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rustenholz, Louis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073531919","display_name":"Manuel V. Hermenegildo","orcid":"https://orcid.org/0000-0002-7583-323X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hermenegildo, Manuel V.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139175748","display_name":"Pedro Lopez-Garcia","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lopez-Garcia, Pedro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037329416","display_name":"Alessio Mansutti","orcid":"https://orcid.org/0000-0002-1104-7299"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mansutti, Alessio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092543632","display_name":"F\u00e9lix Ridoux","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ridoux, F\u00e9lix","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078144924","display_name":"Niki Vazou","orcid":"https://orcid.org/0000-0003-0732-5476"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vazou, Niki","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":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.385699987411499,"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/T10126","display_name":"Logic, programming, and type systems","score":0.385699987411499,"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/T10142","display_name":"Formal Methods in Verification","score":0.2786000072956085,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.20640000700950623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/symbolic-data-analysis","display_name":"Symbolic data analysis","score":0.5570999979972839},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5514000058174133},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.546500027179718},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.5317000150680542},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5291000008583069},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4413999915122986},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4138000011444092},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.37779998779296875},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.37599998712539673},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.335099995136261}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6796000003814697},{"id":"https://openalex.org/C65620979","wikidata":"https://www.wikidata.org/wiki/Q7661176","display_name":"Symbolic data analysis","level":2,"score":0.5570999979972839},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5514000058174133},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.546500027179718},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.5317000150680542},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5291000008583069},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47839999198913574},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4413999915122986},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4138000011444092},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41370001435279846},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.37779998779296875},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.37599998712539673},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.335099995136261},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32170000672340393},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.3098999857902527},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.30730000138282776},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3070000112056732},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.2989000082015991},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.2888000011444092},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.288100004196167},{"id":"https://openalex.org/C2780871342","wikidata":"https://www.wikidata.org/wiki/Q7883752","display_name":"Underpinning","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.2754000127315521},{"id":"https://openalex.org/C23123167","wikidata":"https://www.wikidata.org/wiki/Q7661193","display_name":"Symbolic trajectory evaluation","level":3,"score":0.26010000705718994},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C134765980","wikidata":"https://www.wikidata.org/wiki/Q879126","display_name":"Bitwise operation","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C2779982483","wikidata":"https://www.wikidata.org/wiki/Q6094420","display_name":"Iterative refinement","level":2,"score":0.2542000114917755},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.25119999051094055},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.250900000333786},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.25060001015663147},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.23516","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23516","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.23516","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23516","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,159],"present":[1],"the":[2,18,25,46,52,57,61,74,82,88,101,119,156,164,183],"theory":[3],"underpinning":[4],"a":[5,111],"complexity":[6,89],"analysis":[7,19,207],"tool":[8,44,154],"(under":[9],"development)":[10],"that":[11,91],"aims":[12],"at":[13],"automating":[14],"tedious":[15],"parts":[16,86],"of":[17,20,27,87,103,121,129,135,167,191],"complex":[21],"algorithms":[22],"originating":[23,204],"from":[24],"field":[26],"automated":[28],"reasoning.":[29],"Examples":[30],"are":[31],"given":[32],"by":[33,202],"super-exponential":[34],"quantifier":[35],"elimination":[36],"procedures":[37],"in":[38,100,189,194,205],"real":[39],"and":[40,70,84,172,178,197],"integer":[41],"arithmetics.":[42],"Our":[43],"implements":[45],"following":[47],"pipeline.":[48],"*":[49,95,151],"Together":[50],"with":[51],"algorithm":[53,62],"to":[54,68,72,81,132,161,176],"be":[55,200],"analysed,":[56],"user":[58],"(expert,":[59],"e.g.":[60],"designer)":[63],"can":[64,198],"provide":[65],"key":[66],"metrics":[67],"track,":[69],"lemmas":[71],"improve":[73],"analysis.":[75],"In":[76],"pen-and-paper":[77],"proofs,":[78],"these":[79],"correspond":[80],"\"non-tedious\"":[83],"\"creative\"":[85],"analysis,":[90],"require":[92],"human":[93],"ingenuity.":[94],"The":[96],"second":[97],"step":[98],"consists":[99],"extraction":[102],"(generalised)":[104],"recurrence":[105,142,157],"equations.":[106,158],"Here,":[107],"we":[108],"rely":[109],"on":[110,118,144,182],"novel":[112],"higher-order":[113],"abstract":[114,127],"interpretation":[115],"technique,":[116],"built":[117],"concept":[120],"operator":[122],"semantics.":[123],"It":[124],"enables":[125],"(optimal)":[126],"compilation":[128],"symbolic":[130],"programs":[131],"different":[133],"kinds":[134],"purely":[136],"numerical":[137,148],"recursive":[138],"representations,":[139],"such":[140],"as":[141],"equations":[143],"interval-valued":[145],"functions":[146],"or":[147],"logic":[149],"programs.":[150],"Finally,":[152],"our":[153],"solves":[155],"propose":[160],"go":[162],"beyond":[163],"direct":[165],"usage":[166],"computer":[168],"algebra":[169],"systems":[170],"(CAS),":[171],"use":[173],"pre/postfixpoint-based":[174],"techniques":[175,203],"discover":[177],"verify":[179],"candidate":[180],"bounds":[181],"solution.":[184],"This":[185],"approach":[186],"makes":[187],"use,":[188],"turn,":[190],"recent":[192],"progress":[193],"SMT":[195],"solvers,":[196],"also":[199],"improved":[201],"termination":[206],"research.":[208]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-24T00:00:00"}
