{"id":"https://openalex.org/W2056997919","doi":"https://doi.org/10.1007/s10817-010-9206-x","title":"Proof Pearl: A Formal Proof of Dally and Seitz\u2019 Necessary and Sufficient Condition for Deadlock-Free Routing in Interconnection Networks","display_name":"Proof Pearl: A Formal Proof of Dally and Seitz\u2019 Necessary and Sufficient Condition for Deadlock-Free Routing in Interconnection Networks","publication_year":2010,"publication_date":"2010-09-17","ids":{"openalex":"https://openalex.org/W2056997919","doi":"https://doi.org/10.1007/s10817-010-9206-x","mag":"2056997919"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-010-9206-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-010-9206-x","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-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/A5067135306","display_name":"Freek Verbeek","orcid":"https://orcid.org/0000-0002-6625-1123"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]},{"id":"https://openalex.org/I7876267","display_name":"Open University of the Netherlands","ror":"https://ror.org/018dfmf50","country_code":"NL","type":"education","lineage":["https://openalex.org/I7876267"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Freek Verbeek","raw_affiliation_strings":["Institute for Computing and Information Sciences, Radboud University Nijmegen, P.O. Box 9010, 6500, GL, Nijmegen, The Netherlands","School of Computer Science, Open University of The Netherlands, P.O. Box 2960, 6401, DL, Heerlen, The Netherlands","Institute for Computing and Information Sciences, Radboud University Nijmegen, Nijmegen, The Netherlands","School of Computer Science, Open University of The Netherlands, Heerlen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University Nijmegen, P.O. Box 9010, 6500, GL, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"School of Computer Science, Open University of The Netherlands, P.O. Box 2960, 6401, DL, Heerlen, The Netherlands","institution_ids":["https://openalex.org/I7876267"]},{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University Nijmegen, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"School of Computer Science, Open University of The Netherlands, Heerlen, The Netherlands","institution_ids":["https://openalex.org/I7876267"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088595514","display_name":"Julien Schmaltz","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]},{"id":"https://openalex.org/I7876267","display_name":"Open University of the Netherlands","ror":"https://ror.org/018dfmf50","country_code":"NL","type":"education","lineage":["https://openalex.org/I7876267"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Julien Schmaltz","raw_affiliation_strings":["Institute for Computing and Information Sciences, Radboud University Nijmegen, P.O. Box 9010, 6500, GL, Nijmegen, The Netherlands","School of Computer Science, Open University of The Netherlands, P.O. Box 2960, 6401, DL, Heerlen, The Netherlands","Institute for Computing and Information Sciences, Radboud University Nijmegen, Nijmegen, The Netherlands","School of Computer Science, Open University of The Netherlands, Heerlen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University Nijmegen, P.O. Box 9010, 6500, GL, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"School of Computer Science, Open University of The Netherlands, P.O. Box 2960, 6401, DL, Heerlen, The Netherlands","institution_ids":["https://openalex.org/I7876267"]},{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University Nijmegen, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"School of Computer Science, Open University of The Netherlands, Heerlen, The Netherlands","institution_ids":["https://openalex.org/I7876267"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088595514"],"corresponding_institution_ids":["https://openalex.org/I145872427","https://openalex.org/I7876267"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.837,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.9105122,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"48","issue":"4","first_page":"419","last_page":"439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9947999715805054,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/deadlock","display_name":"Deadlock","score":0.7681057453155518},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6655445098876953},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.557442307472229},{"id":"https://openalex.org/keywords/deadlock-prevention-algorithms","display_name":"Deadlock prevention algorithms","score":0.4689865708351135},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.45908135175704956},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.4505619406700134},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3506624102592468},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3238082528114319},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2646637558937073},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.1770026683807373},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.15534517168998718}],"concepts":[{"id":"https://openalex.org/C159023740","wikidata":"https://www.wikidata.org/wiki/Q623276","display_name":"Deadlock","level":2,"score":0.7681057453155518},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6655445098876953},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.557442307472229},{"id":"https://openalex.org/C113429609","wikidata":"https://www.wikidata.org/wiki/Q4060699","display_name":"Deadlock prevention algorithms","level":3,"score":0.4689865708351135},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.45908135175704956},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.4505619406700134},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3506624102592468},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3238082528114319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2646637558937073},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.1770026683807373},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.15534517168998718},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10817-010-9206-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-010-9206-x","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"},{"id":"pmh:762704","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=762704","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0168-7433","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/84151","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/84151","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Automated Reasoning, 48, 4, pp. 419-439","raw_type":"Article / Letter to editor"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1501077214","https://openalex.org/W1558797637","https://openalex.org/W1588366745","https://openalex.org/W1992091351","https://openalex.org/W2000205333","https://openalex.org/W2023511748","https://openalex.org/W2030397744","https://openalex.org/W2067885187","https://openalex.org/W2099078002","https://openalex.org/W2106130641","https://openalex.org/W2119807217","https://openalex.org/W2124552466","https://openalex.org/W2126261264","https://openalex.org/W2135431334","https://openalex.org/W2139979623","https://openalex.org/W2148323349","https://openalex.org/W2153763119","https://openalex.org/W2154323564","https://openalex.org/W2159152974","https://openalex.org/W2160344873","https://openalex.org/W2499439414","https://openalex.org/W2752885492","https://openalex.org/W3149674220","https://openalex.org/W3169463464","https://openalex.org/W4248504484"],"related_works":["https://openalex.org/W2050076411","https://openalex.org/W2001478969","https://openalex.org/W1542183432","https://openalex.org/W2360686363","https://openalex.org/W1900787600","https://openalex.org/W2136552483","https://openalex.org/W2166954426","https://openalex.org/W2117224408","https://openalex.org/W3137070212","https://openalex.org/W2379911191"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
