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Conference Paper/Proceeding/Abstract 1669 views

Minimal unsatisfiability and minimal strongly connected digraphs

Hoda Abbasizanjani, Oliver Kullmann Orcid Logo

Theory and Applications of Satisfiability Testing - SAT 2018, Issue: 1

Swansea University Author: Oliver Kullmann Orcid Logo

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DOI (Published version): 10.1007/978-3-319-94144-8

Abstract

A new method for classification of minimally unsatisfiable clause-sets (MUs) is introduced, connecting MUs with MSDs, minimal strongly connected digraphs. Two basic characterisations of MUs from the literature, namely for deficiency 2 and 2-CNF (the latter only available as technical report) are giv...

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Published in: Theory and Applications of Satisfiability Testing - SAT 2018
ISBN: 978-3-319-42803-1
Published: Oxford, UK Springer Cham 2018
URI: https://cronfa.swan.ac.uk/Record/cronfa39955
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first_indexed 2018-05-04T13:54:20Z
last_indexed 2023-04-15T02:50:23Z
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spelling 2023-04-14T14:54:26.9910499 v2 39955 2018-05-04 Minimal unsatisfiability and minimal strongly connected digraphs 2b410f26f9324d6b06c2b98f67362d05 0000-0003-3021-0095 Oliver Kullmann Oliver Kullmann true false 2018-05-04 SCS A new method for classification of minimally unsatisfiable clause-sets (MUs) is introduced, connecting MUs with MSDs, minimal strongly connected digraphs. Two basic characterisations of MUs from the literature, namely for deficiency 2 and 2-CNF (the latter only available as technical report) are given lucid and much shorter proofs. Conference Paper/Proceeding/Abstract Theory and Applications of Satisfiability Testing - SAT 2018 1 Springer Cham Oxford, UK 978-3-319-42803-1 minimal unsatisfiability, strong digraphs, minimal strongly connected 27 6 2018 2018-06-27 10.1007/978-3-319-94144-8 COLLEGE NANME Computer Science COLLEGE CODE SCS Swansea University 2023-04-14T14:54:26.9910499 2018-05-04T09:10:01.5777410 Faculty of Science and Engineering School of Mathematics and Computer Science - Computer Science Hoda Abbasizanjani 1 Oliver Kullmann 0000-0003-3021-0095 2
title Minimal unsatisfiability and minimal strongly connected digraphs
spellingShingle Minimal unsatisfiability and minimal strongly connected digraphs
Oliver Kullmann
title_short Minimal unsatisfiability and minimal strongly connected digraphs
title_full Minimal unsatisfiability and minimal strongly connected digraphs
title_fullStr Minimal unsatisfiability and minimal strongly connected digraphs
title_full_unstemmed Minimal unsatisfiability and minimal strongly connected digraphs
title_sort Minimal unsatisfiability and minimal strongly connected digraphs
author_id_str_mv 2b410f26f9324d6b06c2b98f67362d05
author_id_fullname_str_mv 2b410f26f9324d6b06c2b98f67362d05_***_Oliver Kullmann
author Oliver Kullmann
author2 Hoda Abbasizanjani
Oliver Kullmann
format Conference Paper/Proceeding/Abstract
container_title Theory and Applications of Satisfiability Testing - SAT 2018
container_issue 1
publishDate 2018
institution Swansea University
isbn 978-3-319-42803-1
doi_str_mv 10.1007/978-3-319-94144-8
publisher Springer Cham
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science
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description A new method for classification of minimally unsatisfiable clause-sets (MUs) is introduced, connecting MUs with MSDs, minimal strongly connected digraphs. Two basic characterisations of MUs from the literature, namely for deficiency 2 and 2-CNF (the latter only available as technical report) are given lucid and much shorter proofs.
published_date 2018-06-27T03:50:49Z
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score 11.035634