{"id":"https://openalex.org/W4386351167","doi":"https://doi.org/10.1007/978-3-031-38499-8_31","title":"Decidability of\u00a0Difference Logic over\u00a0the\u00a0Reals with\u00a0Uninterpreted Unary Predicates","display_name":"Decidability of\u00a0Difference Logic over\u00a0the\u00a0Reals with\u00a0Uninterpreted Unary Predicates","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386351167","doi":"https://doi.org/10.1007/978-3-031-38499-8_31"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-38499-8_31","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-38499-8_31","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-38499-8_31.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-38499-8_31.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078094550","display_name":"Bernard Boigelot","orcid":"https://orcid.org/0009-0009-4721-3824"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Bernard Boigelot","raw_affiliation_strings":["Montefiore Institute, B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium"],"raw_orcid":"https://orcid.org/0009-0009-4721-3824","affiliations":[{"raw_affiliation_string":"Montefiore Institute, B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060799584","display_name":"Pascal Fontaine","orcid":"https://orcid.org/0000-0003-4700-6031"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Pascal Fontaine","raw_affiliation_strings":["Montefiore Institute, B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-4700-6031","affiliations":[{"raw_affiliation_string":"Montefiore Institute, B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092120637","display_name":"Baptiste Vergain","orcid":"https://orcid.org/0009-0003-5545-4579"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Baptiste Vergain","raw_affiliation_strings":["Montefiore Institute, B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium"],"raw_orcid":"https://orcid.org/0009-0003-5545-4579","affiliations":[{"raw_affiliation_string":"Montefiore Institute, B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078094550"],"corresponding_institution_ids":["https://openalex.org/I157674565"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.9231,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.86185185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"542","last_page":"559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","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"}}],"keywords":[{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.8965734839439392},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8045791387557983},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.7969784736633301},{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.7227605581283569},{"id":"https://openalex.org/keywords/monadic-predicate-calculus","display_name":"Monadic predicate calculus","score":0.6445637941360474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4982948303222656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4980490207672119},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.48420003056526184},{"id":"https://openalex.org/keywords/predicate-logic","display_name":"Predicate logic","score":0.4832354485988617},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.4769498407840729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4345918297767639},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3593900501728058},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.28181618452072144},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.25889280438423157},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.25483429431915283}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.8965734839439392},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8045791387557983},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.7969784736633301},{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.7227605581283569},{"id":"https://openalex.org/C124656256","wikidata":"https://www.wikidata.org/wiki/Q6897882","display_name":"Monadic predicate calculus","level":4,"score":0.6445637941360474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4982948303222656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4980490207672119},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.48420003056526184},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.4832354485988617},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.4769498407840729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4345918297767639},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3593900501728058},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.28181618452072144},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.25889280438423157},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25483429431915283}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-031-38499-8_31","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-38499-8_31","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-38499-8_31.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-04317419v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04317419","pdf_url":"https://inria.hal.science/hal-04317419v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"CADE-29 - 29th International Conference on Automated Deduction (2023), Jul 2023, Rome, Italy. pp.542-559, &#x27E8;10.1007/978-3-031-38499-8_31&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:orbi.ulg.ac.be:2268/308694","is_oa":true,"landing_page_url":"https://orbi.uliege.be/handle/2268/308694","pdf_url":"https://orbi.uliege.be/bitstream/2268/308694/1/final_version.pdf","source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"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":"Lecture Notes in Computer Science, 14132, 542-559 (2023-09-01)","raw_type":"peer reviewed"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-38499-8_31","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-38499-8_31","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-38499-8_31.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386351167.pdf"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1846543422","https://openalex.org/W1980102547","https://openalex.org/W1981741900","https://openalex.org/W1990865424","https://openalex.org/W2031528374","https://openalex.org/W2031648800","https://openalex.org/W2046306944","https://openalex.org/W2056871658","https://openalex.org/W2062792526","https://openalex.org/W2105505307","https://openalex.org/W2480446702","https://openalex.org/W2888796762","https://openalex.org/W4233607861","https://openalex.org/W4298290503","https://openalex.org/W4386351167"],"related_works":["https://openalex.org/W1980102547","https://openalex.org/W2069835691","https://openalex.org/W2033265717","https://openalex.org/W2584847196","https://openalex.org/W4386351167","https://openalex.org/W2090019996","https://openalex.org/W4285136097","https://openalex.org/W2129585631","https://openalex.org/W1586690077","https://openalex.org/W2754601872"],"abstract_inverted_index":{"Abstract":[0],"First-order":[1],"logic":[2,31,48,72,91],"fragments":[3],"mixing":[4],"quantifiers,":[5],"arithmetic,":[6],"and":[7],"uninterpreted":[8,23,52,79,101],"predicates":[9,54],"are":[10],"often":[11],"undecidable,":[12,83],"as":[13],"is,":[14],"for":[15],"instance,":[16],"Presburger":[17,45],"arithmetic":[18,39],"extended":[19],"with":[20,51,76,95,100],"a":[21,33,77],"single":[22,78],"unary":[24,53,80,102],"predicate.":[25],"In":[26],"the":[27,62],"SMT":[28],"world,":[29],"difference":[30,71,90],"is":[32,41,55,82],"quite":[34,84],"popular":[35],"fragment":[36],"of":[37,64],"linear":[38],"which":[40],"less":[42],"expressive":[43],"than":[44],"arithmetic.":[46],"Difference":[47],"on":[49,73,92,97],"integers":[50],"known":[56],"to":[57],"be":[58],"decidable,":[59],"even":[60],"in":[61],"presence":[63],"quantifiers.":[65],"We":[66],"here":[67],"show":[68],"that":[69,89],"(quantified)":[70],"real":[74],"numbers":[75],"predicate":[81],"surprisingly.":[85],"Moreover,":[86],"we":[87],"prove":[88],"integers,":[93],"together":[94],"order":[96],"reals,":[98],"combined":[99],"predicates,":[103],"remains":[104],"decidable.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
