{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T08:44:47Z","timestamp":1780994687132,"version":"3.54.1"},"publisher-location":"Cham","reference-count":16,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031626869","type":"print"},{"value":"9783031626876","type":"electronic"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-62687-6_14","type":"book-chapter","created":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T15:01:50Z","timestamp":1717772510000},"page":"210-224","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Completeness of\u00a0Finitely Weighted Kleene Algebra with\u00a0Tests"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1942-7982","authenticated-orcid":false,"given":"Igor","family":"Sedl\u00e1r","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,6,8]]},"reference":[{"key":"14_CR1","doi-asserted-by":"publisher","unstructured":"Batz, K., Gallus, A., Kaminski, B.L., Katoen, J.P., Winkler, T.: Weighted programming: a programming paradigm for specifying mathematical models. Proc. ACM Program. Lang. 6(OOPSLA1) (2022). https:\/\/doi.org\/10.1145\/3527310","DOI":"10.1145\/3527310"},{"key":"14_CR2","volume-title":"Regular Algebra and Finite Machines","author":"JH Conway","year":"1971","unstructured":"Conway, J.H.: Regular Algebra and Finite Machines. Chapman and Hall Ltd., London (1971)"},{"key":"14_CR3","doi-asserted-by":"publisher","unstructured":"Droste, M., Kuich, W., Vogler, H. (eds.): Handbook of Weighted Automata. Springer, Heidelberg (2009). https:\/\/doi.org\/10.1007\/978-3-642-01492-5","DOI":"10.1007\/978-3-642-01492-5"},{"key":"14_CR4","doi-asserted-by":"publisher","unstructured":"\u00c9sik, Z., Kuich, W.: A generation of Kozen\u2019s axiomatization of the equational theory of the regular sets. In: Ito, M., Paun, G., Yu, S. (eds.) Words, Semigroups, and Transductions - Festschrift in Honor of Gabriel Thierrin, pp. 99\u2013114. World Scientific (2001). https:\/\/doi.org\/10.1142\/9789812810908_0008","DOI":"10.1142\/9789812810908_0008"},{"key":"14_CR5","doi-asserted-by":"publisher","unstructured":"Fahrenberg, U., Johansen, C., Struth, G., Ziemia\u0144ski, K.: Catoids and modal convolution algebras. Algebra Universalis 84(2) (2023). https:\/\/doi.org\/10.1007\/s00012-023-00805-9","DOI":"10.1007\/s00012-023-00805-9"},{"issue":"2","key":"14_CR6","first-page":"141","volume":"29","author":"L Gomes","year":"2019","unstructured":"Gomes, L., Madeira, A., Barbosa, L.S.: Generalising KAT to verify weighted computations. Sci. Ann. Comput. Sci. 29(2), 141\u2013184 (2019)","journal-title":"Sci. Ann. Comput. Sci."},{"key":"14_CR7","doi-asserted-by":"publisher","unstructured":"Kapp\u00e9, T.: Completeness and the finite model property for Kleene algebra, reconsidered. In: Gl\u00fcck, R., Santocanale, L., Winter, M. (eds.) RAMiCS 2023. LNCS, vol. 13896, pp. 158\u2013175. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-28083-2_10","DOI":"10.1007\/978-3-031-28083-2_10"},{"issue":"2","key":"14_CR8","doi-asserted-by":"publisher","first-page":"366","DOI":"10.1006\/inco.1994.1037","volume":"110","author":"D Kozen","year":"1994","unstructured":"Kozen, D.: A completeness theorem for Kleene algebras and the algebra of regular events. Inf. Comput. 110(2), 366\u2013390 (1994). https:\/\/doi.org\/10.1006\/inco.1994.1037","journal-title":"Inf. Comput."},{"issue":"3","key":"14_CR9","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1145\/256167.256195","volume":"19","author":"D Kozen","year":"1997","unstructured":"Kozen, D.: Kleene algebra with tests. ACM Trans. Program. Lang. Syst. 19(3), 427\u2013443 (1997). https:\/\/doi.org\/10.1145\/256167.256195","journal-title":"ACM Trans. Program. Lang. Syst."},{"key":"14_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1007\/3-540-63172-0_43","volume-title":"Computer Science Logic","author":"D Kozen","year":"1997","unstructured":"Kozen, D., Smith, F.: Kleene algebra with tests: completeness and decidability. In: van Dalen, D., Bezem, M. (eds.) CSL 1996. LNCS, vol. 1258, pp. 244\u2013259. Springer, Heidelberg (1997). https:\/\/doi.org\/10.1007\/3-540-63172-0_43"},{"issue":"1","key":"14_CR11","doi-asserted-by":"publisher","first-page":"47","DOI":"10.4171\/pm\/1956","volume":"72","author":"G Kudryavtseva","year":"2015","unstructured":"Kudryavtseva, G., Mazorchuk, V.: On multisemigroups. Portugaliae Math. 72(1), 47\u201380 (2015). https:\/\/doi.org\/10.4171\/pm\/1956","journal-title":"Portugaliae Math."},{"key":"14_CR12","doi-asserted-by":"publisher","unstructured":"Kuich, W., Salomaa, A.: Semirings, Automata, Languages. EATCS Monographs on Theoretical Computer Science, vol. 5. Springer, Heidelberg (1986). https:\/\/doi.org\/10.1007\/978-3-642-69959-7","DOI":"10.1007\/978-3-642-69959-7"},{"key":"14_CR13","doi-asserted-by":"publisher","unstructured":"Pratt, V.: Dynamic algebras and the nature of induction. In: Proceedings of Twelfth Annual ACM Symposium on Theory of Computing (STOC 1980), pp. 22\u201328. ACM (1980). https:\/\/doi.org\/10.1145\/800141.804649","DOI":"10.1145\/800141.804649"},{"key":"14_CR14","doi-asserted-by":"publisher","unstructured":"R\u00f3\u017cowski, W., Silva, A.: A completeness theorem for probabilistic regular expressions. Technical report (2023). https:\/\/doi.org\/10.48550\/ARXIV.2310.08779. https:\/\/arxiv.org\/abs\/2310.08779. Accepted to LICS 2024","DOI":"10.48550\/ARXIV.2310.08779"},{"key":"14_CR15","doi-asserted-by":"publisher","unstructured":"Salomaa, A., Soittola, M.: Automata-Theoretic Aspects of Formal Power Series. Monographs in Computer Science, 1st edn. Springer, New York (1978). https:\/\/doi.org\/10.1007\/978-1-4612-6264-0","DOI":"10.1007\/978-1-4612-6264-0"},{"key":"14_CR16","doi-asserted-by":"publisher","unstructured":"Sedl\u00e1r, I.: Kleene algebra with tests for weighted programs. In: Proceedings of IEEE 53rd International Symposium on Multiple-Valued Logic (ISMVL 2023), pp. 111\u2013116 (2023). https:\/\/doi.org\/10.1109\/ISMVL57333.2023.00031. http:\/\/arxiv.org\/abs\/2303.00322","DOI":"10.1109\/ISMVL57333.2023.00031"}],"container-title":["Lecture Notes in Computer Science","Logic, Language, Information, and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-62687-6_14","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T15:02:50Z","timestamp":1717772570000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-62687-6_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031626869","9783031626876"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-62687-6_14","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"8 June 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WoLLIC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on Logic, Language, Information, and Computation","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Bern","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Switzerland","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10 June 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 June 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"wollic2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/wollic2024.inf.unibe.ch\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}