{"id":"https://openalex.org/W4287322352","doi":"https://doi.org/10.4230/lipics.fscd.2026.14","title":"How Term Rewriting Structures Shape the Decidability of Knowledge Problems","display_name":"How Term Rewriting Structures Shape the Decidability of Knowledge Problems","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W4287322352","doi":"https://doi.org/10.4230/lipics.fscd.2026.14"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2103.00386","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00386","pdf_url":"https://arxiv.org/pdf/2103.00386","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.00386","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5142781507","display_name":"Raja O. P. Damanik","orcid":"https://orcid.org/0009-0006-9721-9624"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Damanik, Raja O. P.","raw_affiliation_strings":["School of Computing, Australian National University, ACT, Australia"],"raw_orcid":"https://orcid.org/0009-0006-9721-9624","affiliations":[{"raw_affiliation_string":"School of Computing, Australian National University, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071064651","display_name":"Alwen Tiu","orcid":"https://orcid.org/0000-0002-2695-5636"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tiu, Alwen","raw_affiliation_strings":["School of Computing, Australian National University, ACT, Australia"],"raw_orcid":"https://orcid.org/0000-0002-2695-5636","affiliations":[{"raw_affiliation_string":"School of Computing, Australian National University, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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/T11567","display_name":"semigroups and automata theory","score":0.9850000143051147,"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/T11567","display_name":"semigroups and automata theory","score":0.9850000143051147,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9721999764442444,"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/T10237","display_name":"Cryptography and Data Security","score":0.9652000069618225,"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/undecidable-problem","display_name":"Undecidable problem","score":0.9419335126876831},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8703277111053467},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.8476426601409912},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.7827017307281494},{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.6966030597686768},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5432087779045105},{"id":"https://openalex.org/keywords/confluence","display_name":"Confluence","score":0.4885595738887787},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.47557392716407776},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4650405943393707},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44171109795570374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23489990830421448},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08995398879051208},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06818830966949463}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.9419335126876831},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8703277111053467},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.8476426601409912},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.7827017307281494},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.6966030597686768},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5432087779045105},{"id":"https://openalex.org/C77906462","wikidata":"https://www.wikidata.org/wiki/Q1140902","display_name":"Confluence","level":2,"score":0.4885595738887787},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.47557392716407776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4650405943393707},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44171109795570374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23489990830421448},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08995398879051208},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06818830966949463},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2103.00386","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00386","pdf_url":"https://arxiv.org/pdf/2103.00386","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:26364","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.14","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.14/LIPIcs.FSCD.2026.14.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},{"id":"doi:10.4230/lipics.fscd.2026.14","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fscd.2026.14","pdf_url":null,"source":null,"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":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.00386","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00386","pdf_url":"https://arxiv.org/pdf/2103.00386","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W16617677","https://openalex.org/W1933757178","https://openalex.org/W1504820687","https://openalex.org/W2142543897","https://openalex.org/W1583400373","https://openalex.org/W1512579902","https://openalex.org/W1223318389","https://openalex.org/W1981828430","https://openalex.org/W4210495575","https://openalex.org/W2566029784"],"abstract_inverted_index":{"Deduction":[0],"and":[1,15,43,52,67,88,96,103,112,137],"static":[2,104],"equivalence":[3],"are":[4,16,45,63,117],"central":[5],"knowledge":[6,180],"problems":[7,189],"in":[8,47,73,153,169],"the":[9,123,177],"formal":[10],"analysis":[11],"of":[12,125,127,146,179],"security":[13],"protocols":[14],"known":[17],"to":[18,79,120],"be":[19],"undecidable":[20,152],"for":[21,101,191],"general":[22],"equational":[23,193],"theories.":[24,194],"Several":[25],"decidable":[26,99,159],"classes":[27,95],"have":[28],"been":[29],"identified":[30],"through":[31],"structural":[32],"restrictions,":[33],"including":[34,108],"subterm":[35],"convergent":[36],"theories,":[37,40,92,116,141],"shallow":[38],"permutative":[39,94,110],"contracting":[41],"theories":[42],"some":[44,143],"implemented":[46],"tools":[48],"such":[49],"as":[50],"ProVerif":[51],"DeepSec.":[53],"We":[54],"identify":[55],"two":[56],"recurring":[57],"themes:":[58],"symbol":[59,68,167],"preservation,":[60],"where":[61,70],"symbols":[62,71,128],"maintained":[64],"across":[65],"axioms,":[66],"contraction,":[69],"decrease":[72],"depth":[74,124],"or":[75],"number":[76],"from":[77],"left":[78],"right.":[80],"For":[81,130],"symbol-preserving":[82],"systems,":[83,132],"we":[84,133],"introduce":[85],"measure-invariant":[86,90],"(MI)":[87],"separate":[89],"(SMI)":[91],"generalizing":[93],"providing":[97],"new":[98],"fragments":[100],"deduction":[102,150],"equivalence.":[105],"Depth-sensitive":[106],"refinements,":[107],"depth-preserving":[109,113],"(DPP)":[111],"variable-permuting":[114],"(DPVP)":[115],"case":[118],"studies":[119],"understand":[121],"whether":[122],"occurrences":[126],"matter.":[129],"symbol-contraction":[131],"define":[134],"depth-decreasing":[135],"(DD)":[136],"variable-preserving":[138],"function-decreasing":[139],"(VBFD)":[140],"capturing":[142],"simple":[144],"relaxations":[145],"term":[147],"contraction;":[148],"while":[149],"is":[151],"general,":[154],"these":[155,188],"restrictions":[156],"highlight":[157],"potential":[158],"fragments.":[160],"Overall,":[161],"our":[162],"results":[163],"show":[164],"that":[165],"controlling":[166],"dynamics":[168],"rewrite":[170],"rules":[171],"provides":[172],"a":[173],"unifying":[174],"perspective":[175],"on":[176,185],"decidability":[178],"problems,":[181],"offering":[182],"conceptual":[183],"clarity":[184],"what":[186],"makes":[187],"hard":[190],"different":[192]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2022-07-25T00:00:00"}