{"id":"https://openalex.org/W2087379083","doi":"https://doi.org/10.1145/2643135.2643154","title":"Theories of Homomorphic Encryption, Unification, and the Finite Variant Property","display_name":"Theories of Homomorphic Encryption, Unification, and the Finite Variant Property","publication_year":2014,"publication_date":"2014-09-08","ids":{"openalex":"https://openalex.org/W2087379083","doi":"https://doi.org/10.1145/2643135.2643154","mag":"2087379083"},"language":"en","primary_location":{"id":"doi:10.1145/2643135.2643154","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2643135.2643154","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 16th International Symposium on Principles and Practice of Declarative Programming","raw_type":"proceedings-article"},"type":"article","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/A5102014086","display_name":"Fan Yang","orcid":"https://orcid.org/0000-0002-0940-4218"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fan Yang","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, USA"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032149189","display_name":"Santiago Escobar","orcid":"https://orcid.org/0000-0002-3550-4781"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Santiago Escobar","raw_affiliation_strings":["DSIC-ELP, Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain"],"affiliations":[{"raw_affiliation_string":"DSIC-ELP, Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021410622","display_name":"Catherine Meadows","orcid":"https://orcid.org/0009-0006-0673-711X"},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Catherine Meadows","raw_affiliation_strings":["Naval Research Laboratory, Washington DC, USA"],"affiliations":[{"raw_affiliation_string":"Naval Research Laboratory, Washington DC, USA","institution_ids":["https://openalex.org/I1288214837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102754614","display_name":"Jos\u00e9 Meseguer","orcid":"https://orcid.org/0000-0003-4779-3848"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Meseguer","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, USA"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083889587","display_name":"Paliath Narendran","orcid":"https://orcid.org/0000-0003-4521-5892"},"institutions":[{"id":"https://openalex.org/I392282","display_name":"University at Albany, State University of New York","ror":"https://ror.org/012zs8222","country_code":"US","type":"education","lineage":["https://openalex.org/I392282"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paliath Narendran","raw_affiliation_strings":["University at Albany-SUNY, Albany, NY, USA","University at Albany, SUNY, Albany, NY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"University at Albany-SUNY, Albany, NY, USA","institution_ids":["https://openalex.org/I392282"]},{"raw_affiliation_string":"University at Albany, SUNY, Albany, NY, USA#TAB#","institution_ids":["https://openalex.org/I392282"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5102014086"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":1.6361,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87559874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9995999932289124,"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/T10237","display_name":"Cryptography and Data Security","score":0.9995999932289124,"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/T11504","display_name":"Advanced Authentication Protocols Security","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11800","display_name":"User Authentication and Security Systems","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/unification","display_name":"Unification","score":0.7793893814086914},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7088918089866638},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.6691005229949951},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.59196537733078},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.582144021987915},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5809223651885986},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.575905978679657},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5016958713531494},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.4867982566356659},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.4707408845424652},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4341522455215454},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4325329065322876},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.42916372418403625},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32811135053634644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32468879222869873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3014032244682312},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2364172637462616},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18449845910072327},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.10706406831741333}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.7793893814086914},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7088918089866638},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.6691005229949951},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.59196537733078},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.582144021987915},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5809223651885986},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.575905978679657},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5016958713531494},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.4867982566356659},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.4707408845424652},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4341522455215454},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4325329065322876},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.42916372418403625},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32811135053634644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32468879222869873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3014032244682312},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2364172637462616},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18449845910072327},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.10706406831741333},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2643135.2643154","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2643135.2643154","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 16th International Symposium on Principles and Practice of Declarative Programming","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W40499433","https://openalex.org/W150223756","https://openalex.org/W598205067","https://openalex.org/W1454700437","https://openalex.org/W1484865830","https://openalex.org/W1531195150","https://openalex.org/W1532161068","https://openalex.org/W1536580911","https://openalex.org/W1544097974","https://openalex.org/W1562146321","https://openalex.org/W1570621944","https://openalex.org/W1573656430","https://openalex.org/W1574042277","https://openalex.org/W1601001795","https://openalex.org/W1678943029","https://openalex.org/W1856526373","https://openalex.org/W1865203519","https://openalex.org/W1882506943","https://openalex.org/W1944323241","https://openalex.org/W1972306789","https://openalex.org/W1976195354","https://openalex.org/W1996360405","https://openalex.org/W2002789557","https://openalex.org/W2006374897","https://openalex.org/W2040248778","https://openalex.org/W2053014980","https://openalex.org/W2055259417","https://openalex.org/W2058459987","https://openalex.org/W2090705567","https://openalex.org/W2096506501","https://openalex.org/W2103647628","https://openalex.org/W2112044534","https://openalex.org/W2114189125","https://openalex.org/W2149257851","https://openalex.org/W2155230502","https://openalex.org/W2158404645","https://openalex.org/W2280932650","https://openalex.org/W2316113835","https://openalex.org/W2404629633","https://openalex.org/W4232836212","https://openalex.org/W4285719527","https://openalex.org/W6695380111","https://openalex.org/W6997009537"],"related_works":["https://openalex.org/W2367630557","https://openalex.org/W101666983","https://openalex.org/W2183792531","https://openalex.org/W2595286499","https://openalex.org/W2794344379","https://openalex.org/W2489197555","https://openalex.org/W2471908688","https://openalex.org/W1845283042","https://openalex.org/W4402347828","https://openalex.org/W4391920153"],"abstract_inverted_index":{"Recent":[0],"advances":[1],"in":[2,13,108],"the":[3,14,25,75,96,123],"automated":[4],"analysis":[5],"of":[6,17,28,46,49,62,82,88],"cryptographic":[7,109],"protocols":[8,110],"have":[9,111],"aroused":[10],"new":[11],"interest":[12],"practical":[15],"application":[16,32],"unification":[18,34],"modulo":[19],"theories,":[20],"especially":[21],"theories":[22,48,105],"that":[23,36,56,74,93,106,125,128],"describe":[24],"algebraic":[26],"properties":[27],"cryptosystems.":[29],"However,":[30],"this":[31,53],"requires":[33],"algorithms":[35],"can":[37],"be":[38,77],"easily":[39,42],"implemented":[40],"and":[41,85],"extended":[43],"to":[44,102],"combinations":[45],"different":[47],"interest.":[50],"In":[51],"practice":[52],"has":[54,95],"meant":[55],"most":[57],"tools":[58],"use":[59],"a":[60,63,80,86],"version":[61],"technique":[64],"known":[65],"as":[66],"variant":[67,98,115],"unification.":[68],"This":[69],"requires,":[70],"among":[71],"other":[72],"things,":[73],"theory":[76,124],"decomposable":[78],"into":[79],"set":[81,87],"axioms":[83],"B":[84],"rewrite":[89],"rules":[90],"R":[91,94],"such":[92],"finite":[97],"property":[99],"with":[100],"respect":[101],"B.":[103],"Most":[104],"arise":[107],"decompositions":[112],"suitable":[113],"for":[114],"unification,":[116],"but":[117],"there":[118],"is":[119,129],"one":[120],"major":[121],"exception:":[122],"describes":[126],"encryption":[127],"homomorphic":[130],"over":[131],"an":[132],"Abelian":[133],"group.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}