{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T09:31:47Z","timestamp":1758274307992,"version":"3.40.3"},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030757748"},{"type":"electronic","value":"9783030757755"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-75775-5_12","type":"book-chapter","created":{"date-parts":[[2021,5,11]],"date-time":"2021-05-11T23:46:09Z","timestamp":1620776769000},"page":"162-176","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Residuation for Soft Constraints: Lexicographic Orders and Approximation Techniques"],"prefix":"10.1007","author":[{"given":"Fabio","family":"Gadducci","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francesco","family":"Santini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,5,12]]},"reference":[{"key":"12_CR1","volume-title":"Synchronization and Linearity: An Algebra for Discrete Event Systems","author":"F Baccelli","year":"1992","unstructured":"Baccelli, F., Cohen, G., Olsder, G., Quadrat, J.P.: Synchronization and Linearity: An Algebra for Discrete Event Systems. Wiley, Hoboken (1992)"},{"key":"12_CR2","doi-asserted-by":"crossref","unstructured":"Bessiere, C.: Constraint propagation. In: Rossi, F., van Beek, P., Walsh, T. (eds.) Handbook of Constraint Programming, pp. 29\u201383. Elsevier (2006)","DOI":"10.1016\/S1574-6526(06)80007-6"},{"issue":"2","key":"12_CR3","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1145\/256303.256306","volume":"44","author":"S Bistarelli","year":"1997","unstructured":"Bistarelli, S., Montanari, U., Rossi, F.: Semiring-based constraint satisfaction and optimization. J. ACM 44(2), 201\u2013236 (1997)","journal-title":"J. ACM"},{"key":"12_CR4","unstructured":"Bistarelli, S., Gadducci, F.: Enhancing constraints manipulation in semiring-based formalisms. In: Brewka, G., Coradeschi, S., Perini, A., Traverso, P. (eds.) ECAI 2006. FAIA, vol. 141, pp. 63\u201367. IOS Press (2006)"},{"key":"12_CR5","volume-title":"Residuation Theory","author":"TS Blyth","year":"2014","unstructured":"Blyth, T.S., Janowitz, M.F.: Residuation Theory. Elsevier, Amsterdam (2014)"},{"issue":"2","key":"12_CR6","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1145\/3212019.3212027","volume":"5","author":"A Ciabattoni","year":"2018","unstructured":"Ciabattoni, A., Genco, F.A., Ramanayake, R.: Substructural logics: semantics, proof theory, and applications. Report on the second SYSMICS workshop. ACM SIGLOG News 5(2), 58\u201360 (2018)","journal-title":"ACM SIGLOG News"},{"issue":"1\u20132","key":"12_CR7","first-page":"199","volume":"154","author":"M Cooper","year":"2007","unstructured":"Cooper, M., Schiex, T.: Arc consistency for soft constraints. Artif. Intell. 154(1\u20132), 199\u2013227 (2007)","journal-title":"Artif. Intell."},{"key":"12_CR8","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"748","DOI":"10.1007\/3-540-44652-4_66","volume-title":"Symbolic and Quantitative Approaches to Reasoning with Uncertainty","author":"CV Dam\u00e1sio","year":"2001","unstructured":"Dam\u00e1sio, C.V., Pereira, L.M.: Monotonic and residuated logic programs. In: Benferhat, S., Besnard, P. (eds.) ECSQARU 2001. LNCS (LNAI), vol. 2143, pp. 748\u2013759. Springer, Heidelberg (2001). https:\/\/doi.org\/10.1007\/3-540-44652-4_66"},{"key":"12_CR9","unstructured":"Dechter, R.: Mini-buckets: a general scheme for generating approximations in automated reasoning. In: IJCAI 1997, pp. 1297\u20131302. Morgan Kaufmann (1997)"},{"issue":"1\u20132","key":"12_CR10","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/S0004-3702(99)00059-4","volume":"113","author":"R Dechter","year":"1999","unstructured":"Dechter, R.: Bucket elimination: a unifying framework for reasoning. Artif. Intell. 113(1\u20132), 41\u201385 (1999)","journal-title":"Artif. Intell."},{"key":"12_CR11","doi-asserted-by":"publisher","first-page":"100615","DOI":"10.1016\/j.jlamp.2020.100615","volume":"118","author":"K Dokter","year":"2021","unstructured":"Dokter, K., Gadducci, F., Lion, B., Santini, F.: Soft constraint automata with memory. Log. Algebraic Methods Program. 118, 100615 (2021)","journal-title":"Log. Algebraic Methods Program."},{"issue":"4\u20135","key":"12_CR12","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1007\/s10732-006-7071-x","volume":"12","author":"C Domshlak","year":"2006","unstructured":"Domshlak, C., Prestwich, S.D., Rossi, F., Venable, K.B., Walsh, T.: Hard and soft constraints for reasoning about qualitative conditional preferences. Heuristics 12(4\u20135), 263\u2013285 (2006). https:\/\/doi.org\/10.1007\/s10732-006-7071-x","journal-title":"Heuristics"},{"issue":"1","key":"12_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10601-009-9069-0","volume":"15","author":"EC Freuder","year":"2010","unstructured":"Freuder, E.C., Heffernan, R., Wallace, R.J., Wilson, N.: Lexicographically-ordered constraint satisfaction problems. Constraints 15(1), 1\u201328 (2010). https:\/\/doi.org\/10.1007\/s10601-009-9069-0","journal-title":"Constraints"},{"key":"12_CR14","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1007\/978-3-642-45114-0_6","volume-title":"Advances in Artificial Intelligence and Its Applications","author":"F Gadducci","year":"2013","unstructured":"Gadducci, F., H\u00f6lzl, M., Monreale, G.V., Wirsing, M.: Soft constraints for lexicographic orders. In: Castro, F., Gelbukh, A., Gonz\u00e1lez, M. (eds.) MICAI 2013. LNCS (LNAI), vol. 8265, pp. 68\u201379. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-45114-0_6"},{"key":"12_CR15","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.ipl.2016.10.002","volume":"118","author":"F Gadducci","year":"2017","unstructured":"Gadducci, F., Santini, F.: Residuation for bipolar preferences in soft constraints. Inf. Process. Lett. 118, 69\u201374 (2017)","journal-title":"Inf. Process. Lett."},{"key":"12_CR16","doi-asserted-by":"crossref","unstructured":"Gadducci, F., Santini, F.: Residuation for soft constraints: lexicographic orders and approximation techniques. CoRR abs\/2103.06741 (2021)","DOI":"10.1007\/978-3-030-75775-5_12"},{"key":"12_CR17","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/j.jlamp.2017.06.001","volume":"92","author":"F Gadducci","year":"2017","unstructured":"Gadducci, F., Santini, F., Pino, L.F., Valencia, F.D.: Observational and behavioural equivalences for soft concurrent constraint programming. Log. Algebraic Methods Program. 92, 45\u201363 (2017)","journal-title":"Log. Algebraic Methods Program."},{"key":"12_CR18","volume-title":"Residuated Lattices: An Algebraic Glimpse at Substructural Logics","author":"N Galatos","year":"2007","unstructured":"Galatos, N., Jipsen, P., Kowalski, T., Ono, H.: Residuated Lattices: An Algebraic Glimpse at Substructural Logics. Springer, Heidelberg (2007)"},{"key":"12_CR19","volume-title":"Semirings and Their Applications","author":"JS Golan","year":"2013","unstructured":"Golan, J.S.: Semirings and Their Applications. Springer, Heidelberg (2013)"},{"key":"12_CR20","doi-asserted-by":"crossref","unstructured":"Kruml, D., Paseka, J.: Algebraic and categorical aspects of quantales. In: Hazewinkel, M. (ed.) Handbook of Algebra, vol. 5, pp. 323\u2013362. North-Holland (2008)","DOI":"10.1016\/S1570-7954(07)05006-1"},{"key":"12_CR21","unstructured":"Rollon, E., Larrosa, J., Dechter, R.: Semiring-based mini-bucket partitioning schemes. In: Rossi, F. (ed.) IJCAI 2013, pp. 644\u2013650. IJCAI\/AAAI (2013)"},{"key":"12_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1007\/978-3-319-15545-6_10","volume-title":"Software, Services, and Systems","author":"A Schiendorfer","year":"2015","unstructured":"Schiendorfer, A., Knapp, A., Stegh\u00f6fer, J.-P., Anders, G., Siefert, F., Reif, W.: Partial valuation structures for qualitative soft constraints. In: De Nicola, R., Hennicker, R. (eds.) Software, Services, and Systems. LNCS, vol. 8950, pp. 115\u2013133. Springer, Cham (2015). https:\/\/doi.org\/10.1007\/978-3-319-15545-6_10"},{"key":"12_CR23","unstructured":"Schiex, T., Fargier, H., Verfaillie, G.: Valued constraint satisfaction problems: hard and easy problems. In: IJCAI 1995, pp. 631\u2013639. Morgan Kaufmann (1995)"},{"issue":"3","key":"12_CR24","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/0743-1066(93)90046-J","volume":"16","author":"M Wilson","year":"1993","unstructured":"Wilson, M., Borning, A.: Hierarchical constraint logic programming. Log. Program. 16(3), 277\u2013318 (1993)","journal-title":"Log. Program."}],"container-title":["Lecture Notes in Computer Science","Logics in Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-75775-5_12","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T01:46:54Z","timestamp":1672105614000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-75775-5_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030757748","9783030757755"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-75775-5_12","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"12 May 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"JELIA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"European Conference on Logics in Artificial Intelligence","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 May 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 May 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"jelia2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/jelia2021.aau.at\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"easychair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"68","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"27","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"40% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Due to the Corona pandemic this event was held virtually.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}