{"id":"https://openalex.org/W2395499545","doi":"https://doi.org/10.29007/zhz4","title":"A Comparative Study of Invariant Assertions, Invariant Relations, and Invariant Functions","display_name":"A Comparative Study of Invariant Assertions, Invariant Relations, and Invariant Functions","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2395499545","doi":"https://doi.org/10.29007/zhz4","mag":"2395499545"},"language":"en","primary_location":{"id":"doi:10.29007/zhz4","is_oa":true,"landing_page_url":"https://doi.org/10.29007/zhz4","pdf_url":"https://easychair.org/publications/open/Dhf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/Dhf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032654524","display_name":"Asma Louhichi","orcid":null},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]},{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN","US"],"is_corresponding":false,"raw_author_name":"Asma Louhichi","raw_affiliation_strings":["Olfa Mraihi ISG bardo, Tunisia","ISG Bardo, Tunisia","NJIT Newark, NJ USA","FST, Univ Tunis El Manar Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Olfa Mraihi ISG bardo, Tunisia","institution_ids":[]},{"raw_affiliation_string":"ISG Bardo, Tunisia","institution_ids":[]},{"raw_affiliation_string":"NJIT Newark, NJ USA","institution_ids":["https://openalex.org/I118118575"]},{"raw_affiliation_string":"FST, Univ Tunis El Manar Tunis, Tunisia","institution_ids":["https://openalex.org/I63596082"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066229458","display_name":"Olfa Mraihi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Olfa Mraihi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006442971","display_name":"Lamia Labed Jilani","orcid":"https://orcid.org/0000-0001-7842-0185"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]},{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN","US"],"is_corresponding":false,"raw_author_name":"Lamia Labed Jilani","raw_affiliation_strings":["Olfa Mraihi ISG bardo, Tunisia","NJIT Newark, NJ USA","FST, Univ Tunis El Manar Tunis, Tunisia","ISG Bardo, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Olfa Mraihi ISG bardo, Tunisia","institution_ids":[]},{"raw_affiliation_string":"NJIT Newark, NJ USA","institution_ids":["https://openalex.org/I118118575"]},{"raw_affiliation_string":"FST, Univ Tunis El Manar Tunis, Tunisia","institution_ids":["https://openalex.org/I63596082"]},{"raw_affiliation_string":"ISG Bardo, Tunisia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115598651","display_name":"Ali Mili","orcid":"https://orcid.org/0000-0002-6578-5510"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]},{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN","US"],"is_corresponding":false,"raw_author_name":"Ali Mili","raw_affiliation_strings":["Olfa Mraihi ISG bardo, Tunisia","NJIT Newark, NJ USA","ISG Bardo, Tunisia","FST, Univ Tunis El Manar Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Olfa Mraihi ISG bardo, Tunisia","institution_ids":[]},{"raw_affiliation_string":"NJIT Newark, NJ USA","institution_ids":["https://openalex.org/I118118575"]},{"raw_affiliation_string":"ISG Bardo, Tunisia","institution_ids":[]},{"raw_affiliation_string":"FST, Univ Tunis El Manar Tunis, Tunisia","institution_ids":["https://openalex.org/I63596082"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0047179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"152","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9984999895095825,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/invariant","display_name":"Invariant (physics)","score":0.8522722721099854},{"id":"https://openalex.org/keywords/invariant-polynomial","display_name":"Invariant polynomial","score":0.560297966003418},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4517495036125183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4399759769439697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3881264626979828},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38317596912384033},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3621112108230591},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1385001242160797}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.8522722721099854},{"id":"https://openalex.org/C134530390","wikidata":"https://www.wikidata.org/wiki/Q2920801","display_name":"Invariant polynomial","level":4,"score":0.560297966003418},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4517495036125183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4399759769439697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3881264626979828},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38317596912384033},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3621112108230591},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1385001242160797},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"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/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.29007/zhz4","is_oa":true,"landing_page_url":"https://doi.org/10.29007/zhz4","pdf_url":"https://easychair.org/publications/open/Dhf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.417.8744","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.417.8744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.easychair.org/publications/?page=726861612","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.640.4381","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.640.4381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.easychair.org/publications/?page=726861612","raw_type":"text"}],"best_oa_location":{"id":"doi:10.29007/zhz4","is_oa":true,"landing_page_url":"https://doi.org/10.29007/zhz4","pdf_url":"https://easychair.org/publications/open/Dhf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2395499545.pdf","grobid_xml":"https://content.openalex.org/works/W2395499545.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W7737961","https://openalex.org/W109993195","https://openalex.org/W129172549","https://openalex.org/W1552647623","https://openalex.org/W2006824750","https://openalex.org/W2007225061","https://openalex.org/W2012895643","https://openalex.org/W2019389359","https://openalex.org/W2049413589","https://openalex.org/W2074592031","https://openalex.org/W2097704387","https://openalex.org/W2103953153","https://openalex.org/W2131361093","https://openalex.org/W2147543351","https://openalex.org/W2339337913","https://openalex.org/W3146075203","https://openalex.org/W4300295709"],"related_works":["https://openalex.org/W4287632584","https://openalex.org/W3134930970","https://openalex.org/W3093500986","https://openalex.org/W2366593490","https://openalex.org/W2350951400","https://openalex.org/W582610109","https://openalex.org/W3176937077","https://openalex.org/W2076547165","https://openalex.org/W2365874930","https://openalex.org/W1965391895"],"abstract_inverted_index":{"Invariant":[0,17],"assertions":[1,31],"play":[2],"an":[3],"important":[4],"role":[5],"in":[6],"the":[7,77],"analysis":[8,24],"and":[9,19,45,54,82],"documentation":[10],"of":[11,14,51,79],"while":[12],"loops":[13],"imperative":[15],"programs.":[16],"functions":[18,53],"invariant":[20,30,52,55,80,90],"relations":[21,56],"are":[22,27,33],"alternative":[23,64],"tools":[25],"that":[26],"distinct":[28],"from":[29],"but":[32,69],"related":[34],"to":[35,66],"them.":[36],"In":[37],"this":[38],"paper":[39],"we":[40],"discuss":[41],"these":[42],"three":[43],"concepts":[44],"analyze":[46,67],"their":[47],"relationships.":[48],"The":[49],"study":[50],"is":[57],"interesting":[58],"not":[59],"only":[60],"because":[61,71],"it":[62,72],"provides":[63],"means":[65],"loops,":[68],"also":[70],"gives":[73],"us":[74,85],"insights":[75],"into":[76],"structure":[78],"assertions,":[81],"may":[83],"help":[84],"enhance":[86],"techniques":[87],"for":[88],"generating":[89],"assertions.":[91]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}