{"id":"https://openalex.org/W4412897524","doi":"https://doi.org/10.48550/arxiv.2604.27939","title":"Computing Witnesses Using the SCAN Algorithm","display_name":"Computing Witnesses Using the SCAN Algorithm","publication_year":2026,"publication_date":"2026-04-30","ids":{"openalex":"https://openalex.org/W4412897524","doi":"https://doi.org/10.48550/arxiv.2604.27939"},"language":"en","primary_location":{"id":"pmh:oai:pure.atira.dk:openaire/31c9f84f-b07c-4f29-88c2-f54d06f418b5","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/31c9f84f-b07c-4f29-88c2-f54d06f418b5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Achammer, F, Hetzl, S & Schmidt, R A 2025, Computing Witnesses Using the SCAN Algorithm. in 30th International Conference on Automated Deduction. Springer Cham. https://doi.org/10.1007/978-3-031-99984-0_27, https://doi.org/10.48550/arXiv.2506.00163","raw_type":"info:eu-repo/semantics/publishedVersion"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.manchester.ac.uk/en/publications/31c9f84f-b07c-4f29-88c2-f54d06f418b5","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119184266","display_name":"Fabian Achammer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Achammer, Fabian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058192101","display_name":"Stefan Hetzl","orcid":"https://orcid.org/0000-0002-6461-5982"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hetzl, Stefan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5037583341","display_name":"Renate A. Schmidt","orcid":"https://orcid.org/0000-0002-6673-3333"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Schmidt, Renate A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T12034","display_name":"Digital and Cyber Forensics","score":0.9959999918937683,"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"}},"topics":[{"id":"https://openalex.org/T12034","display_name":"Digital and Cyber Forensics","score":0.9959999918937683,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9954000115394592,"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/T11241","display_name":"Advanced Malware Detection Techniques","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/computer-science","display_name":"Computer science","score":0.8377352952957153},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5067031979560852}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8377352952957153},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5067031979560852}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:pure.atira.dk:openaire/31c9f84f-b07c-4f29-88c2-f54d06f418b5","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/31c9f84f-b07c-4f29-88c2-f54d06f418b5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Achammer, F, Hetzl, S & Schmidt, R A 2025, Computing Witnesses Using the SCAN Algorithm. in 30th International Conference on Automated Deduction. Springer Cham. https://doi.org/10.1007/978-3-031-99984-0_27, https://doi.org/10.48550/arXiv.2506.00163","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2604.27939","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2604.27939","pdf_url":"https://arxiv.org/pdf/2604.27939","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/31c9f84f-b07c-4f29-88c2-f54d06f418b5","is_oa":true,"landing_page_url":"https://dl.acm.org/doi/10.1007/978-3-031-99984-0_27","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"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":"Achammer, F, Hetzl, S & Schmidt, R A 2025, Computing Witnesses Using the SCAN Algorithm. in 30th International Conference on Automated Deduction. Springer Cham. https://doi.org/10.1007/978-3-031-99984-0_27, https://doi.org/10.48550/arXiv.2506.00163","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.48550/arxiv.2604.27939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27939","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":"pmh:oai:pure.atira.dk:openaire/31c9f84f-b07c-4f29-88c2-f54d06f418b5","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/31c9f84f-b07c-4f29-88c2-f54d06f418b5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Achammer, F, Hetzl, S & Schmidt, R A 2025, Computing Witnesses Using the SCAN Algorithm. in 30th International Conference on Automated Deduction. Springer Cham. https://doi.org/10.1007/978-3-031-99984-0_27, https://doi.org/10.48550/arXiv.2506.00163","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3147533010","display_name":"Logical complexity and term structure","funder_award_id":"P35787","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8590477180","display_name":null,"funder_award_id":"10.55776","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W4147469","https://openalex.org/W5650064","https://openalex.org/W153664291","https://openalex.org/W1498642851","https://openalex.org/W1536469384","https://openalex.org/W1560749011","https://openalex.org/W1572523058","https://openalex.org/W1744405537","https://openalex.org/W1966647497","https://openalex.org/W1986585422","https://openalex.org/W1990260176","https://openalex.org/W2051988544","https://openalex.org/W2057503265","https://openalex.org/W2189778928","https://openalex.org/W2293809538","https://openalex.org/W2307339663","https://openalex.org/W2495691688","https://openalex.org/W2505251503","https://openalex.org/W2577664989","https://openalex.org/W2749841279","https://openalex.org/W2778562959","https://openalex.org/W2899409922","https://openalex.org/W2985144581","https://openalex.org/W3081444138","https://openalex.org/W3103855201","https://openalex.org/W3175383939","https://openalex.org/W3198882140","https://openalex.org/W3209809647","https://openalex.org/W4205525861","https://openalex.org/W4226367707","https://openalex.org/W4230488381","https://openalex.org/W4242798172","https://openalex.org/W4297161157","https://openalex.org/W4400211218"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"Second-order":[0],"quantifier":[1,46],"elimination":[2,47],"is":[3,48],"the":[4,40,49,59,79,98],"problem":[5],"of":[6,39,97],"finding,":[7],"given":[8],"a":[9,14,70,76,85,94],"formula":[10],"with":[11,33],"second-order":[12,45,80],"quantifiers,":[13],"logically":[15,86],"equivalent":[16,87],"first-order":[17,88],"formula.":[18,89],"While":[19],"such":[20],"formulas":[21],"are":[22,28],"not":[23],"computable":[24],"in":[25,84],"general,":[26],"there":[27],"practical":[29],"algorithms":[30,43],"and":[31],"subclasses":[32],"applications":[34],"throughout":[35],"computational":[36],"logic.":[37],"One":[38],"most":[41],"prominent":[42],"for":[44,78],"saturation-based":[50],"SCAN":[51,60],"algorithm.":[52],"In":[53,90],"this":[54],"paper":[55],"we":[56,92],"show":[57],"how":[58],"algorithm":[61],"on":[62],"clause":[63],"sets":[64],"can":[65],"be":[66],"extended":[67],"to":[68],"solve":[69],"more":[71],"general":[72],"problem:":[73],"namely,":[74],"finding":[75],"witness":[77],"quantifiers":[81],"that":[82],"results":[83],"addition,":[91],"provide":[93],"prototype":[95],"implementation":[96],"proposed":[99],"method.":[100]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-08-04T00:00:00"}