{"id":"https://openalex.org/W7118299896","doi":"https://doi.org/10.48550/arxiv.2601.02803","title":"Bounded Rewriting Induction for LCSTRSs","display_name":"Bounded Rewriting Induction for LCSTRSs","publication_year":2026,"publication_date":"2026-01-06","ids":{"openalex":"https://openalex.org/W7118299896","doi":"https://doi.org/10.48550/arxiv.2601.02803"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2601.02803","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.02803","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2601.02803","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5099670564","display_name":"Kasper Hagens","orcid":"https://orcid.org/0009-0005-2382-0559"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hagens, Kasper","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5001880661","display_name":"Cynthia Kop","orcid":"https://orcid.org/0000-0002-6337-2544"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kop, Cynthia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"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":0.9623000025749207,"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":0.9623000025749207,"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":0.014299999922513962,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.004900000058114529,"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/rewriting","display_name":"Rewriting","score":0.9623000025749207},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.7922000288963318},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6452999711036682},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6046000123023987},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5386000275611877},{"id":"https://openalex.org/keywords/inductive-method","display_name":"Inductive method","score":0.38089999556541443},{"id":"https://openalex.org/keywords/confluence","display_name":"Confluence","score":0.3797999918460846},{"id":"https://openalex.org/keywords/mathematical-induction","display_name":"Mathematical induction","score":0.36329999566078186}],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.9623000025749207},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7922000288963318},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6452999711036682},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6046000123023987},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5389999747276306},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5386000275611877},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4004000127315521},{"id":"https://openalex.org/C2993131915","wikidata":"https://www.wikidata.org/wiki/Q484511","display_name":"Inductive method","level":3,"score":0.38089999556541443},{"id":"https://openalex.org/C77906462","wikidata":"https://www.wikidata.org/wiki/Q1140902","display_name":"Confluence","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3644999861717224},{"id":"https://openalex.org/C206743973","wikidata":"https://www.wikidata.org/wiki/Q178377","display_name":"Mathematical induction","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3425000011920929},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.3305000066757202},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.3303999900817871},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33000001311302185},{"id":"https://openalex.org/C21563000","wikidata":"https://www.wikidata.org/wiki/Q484511","display_name":"Inductive reasoning","level":2,"score":0.3294999897480011},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2601.02803","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.02803","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2601.02803","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2601.02803","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Rewriting":[0,20],"Induction":[1],"(RI)":[2],"is":[3,64],"a":[4,30,59],"method":[5],"to":[6,65,86],"prove":[7],"inductive":[8,36],"theorems,":[9],"originating":[10],"from":[11],"equational":[12],"reasoning.":[13],"By":[14],"using":[15],"Logically":[16],"Constrained":[17],"Simply-typed":[18],"Term":[19],"Systems":[21],"(LCSTRSs)":[22],"as":[23],"an":[24,106],"intermediate":[25],"language,":[26],"rewriting":[27],"induction":[28,75],"becomes":[29],"tool":[31],"for":[32,57,110],"program":[33],"verification,":[34],"with":[35],"theorems":[37],"taking":[38],"the":[39,54,81,96],"role":[40],"of":[41,45,53,99,108],"equivalence":[42],"predicates.":[43],"Soundness":[44],"RI":[46,109],"depends":[47],"on":[48],"well-founded":[49,68,82],"induction,":[50],"and":[51],"one":[52],"core":[55],"obstacles":[56],"obtaining":[58],"practically":[60],"useful":[61],"proof":[62,97],"system":[63],"find":[66],"suitable":[67],"orderings":[69],"automatically.":[70],"Using":[71],"naive":[72],"approaches,":[73],"all":[74],"hypotheses":[76],"must":[77],"be":[78],"oriented":[79],"within":[80],"ordering,":[83],"which":[84],"leads":[85],"very":[87],"strong":[88],"termination":[89,114],"requirements.":[90],"This,":[91],"in":[92],"turn,":[93],"severely":[94],"limits":[95],"capacity":[98],"RI.":[100],"Here,":[101],"we":[102],"introduce":[103],"Bounded":[104],"RI:":[105],"adaption":[107],"LCSTRSs":[111],"where":[112],"such":[113],"requirements":[115],"are":[116],"minimized.":[117]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-01-08T00:00:00"}
