{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T12:14:15Z","timestamp":1744200855854},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2022,2,2]],"date-time":"2022-02-02T00:00:00Z","timestamp":1643760000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,2,2]],"date-time":"2022-02-02T00:00:00Z","timestamp":1643760000000},"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":["Log. Univers."],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1007\/s11787-022-00296-7","type":"journal-article","created":{"date-parts":[[2022,2,2]],"date-time":"2022-02-02T12:02:52Z","timestamp":1643803372000},"page":"105-147","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On Induction Principles for Partial Orders"],"prefix":"10.1007","volume":"16","author":[{"given":"Ievgen","family":"Ivanov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,2,2]]},"reference":[{"key":"296_CR1","unstructured":"Gunderson, D.: Handbook of Mathematical Induction. Chapman and Hall\/CRC, Theory and Applications (2010)"},{"key":"296_CR2","doi-asserted-by":"crossref","unstructured":"Wiedijk, F. (ed.): The Seventeen Provers of the World. Foreword by Dana S. Scott. Lecture Notes in Artificial Intelligence, vol. 3600. Springer (2006)","DOI":"10.1007\/11542384"},{"key":"296_CR3","unstructured":"Formal Methods in Computing Handbook, 3rd edition. CRC Press (2014)"},{"key":"296_CR4","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139149105","volume-title":"An Introduction To G\u00f6del\u2019s Theorems","author":"P Smith","year":"2013","unstructured":"Smith, P.: An Introduction To G\u00f6del\u2019s Theorems, 2nd edn. Cambridge University Press, Cambridge (2013)","edition":"2"},{"key":"296_CR5","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0304-3975(00)00056-6","volume":"249","author":"JJMM Rutten","year":"2000","unstructured":"Rutten, J.J.M.M.: Universal coalgebra: a theory of systems. Theor. Comput. Sci. 249, 3\u201380 (2000)","journal-title":"Theor. Comput. Sci."},{"key":"296_CR6","unstructured":"Taylor, P.: Towards a Unified Treatment of Induction (1996)"},{"key":"296_CR7","unstructured":"Stratulat, S.: A Unified View of Induction Reasoning for First-Order Logic. Turing-100, The Alan Turing Centenary Conference, Jun 2012, Manchester, United Kingdom (2012)"},{"key":"296_CR8","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1080\/0025570X.2019.1549902","volume":"92","author":"P Clark","year":"2019","unstructured":"Clark, P.: The instructor\u2019s guide to real induction. Math. Mag. 92, 136\u2013150 (2019)","journal-title":"Math. Mag."},{"key":"296_CR9","unstructured":"Clark, P.: The instructor\u2019s guide to real induction (2012). arXiv:1208.0973"},{"key":"296_CR10","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1007\/978-1-4020-6127-1_5","volume-title":"Induction, Algorithmic Learning Theory, and Philosophy","author":"I Kalantari","year":"2007","unstructured":"Kalantari, I.: Induction over the continuum. In: Friend, M., Goethe, N.B., Harizanov, V.S. (eds.) Induction, Algorithmic Learning Theory, and Philosophy, pp. 145\u2013154. Springer, Berlin (2007)"},{"key":"296_CR11","unstructured":"Problem of induction. http:\/\/www.britannica.com\/topic\/problem-of-induction"},{"key":"296_CR12","doi-asserted-by":"crossref","unstructured":"Platzer, A., Tan, Y.K.: Differential equation axiomatization: the impressive power of differential ghosts. In: Proceedings of LICS\u201918, pp. 819\u2013828 (2018)","DOI":"10.1145\/3209108.3209147"},{"key":"296_CR13","unstructured":"Signature in logic. http:\/\/ncatlab.org\/nlab\/show\/signature+(in+logic)"},{"key":"296_CR14","volume-title":"Handbook of Proof Theory","author":"SR Buss","year":"1998","unstructured":"Buss, S.R.: An introduction to proof theory. In: Buss, S.R. (ed.) Handbook of Proof Theory. Elsevier, Amsterdam (1998)"},{"issue":"1","key":"296_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/2422085.2422090","volume":"14","author":"R McKinley","year":"2013","unstructured":"McKinley, R.: Proof nets for Herbrand\u2019s theorem. ACM Trans. Comput. Logic 14(1), 1\u201331 (2013)","journal-title":"ACM Trans. Comput. Logic"},{"key":"296_CR16","unstructured":"Ralph, B.: A Natural Proof System for Herbrand\u2019s Theorem. Lecture notes in computer science, vol. 10703, pp. 1\u201320 (2018)"},{"key":"296_CR17","unstructured":"Jech, T.: Set Theory. Springer, Third Millenium edition (2003)"},{"key":"296_CR18","doi-asserted-by":"crossref","unstructured":"Ferlez, J., Cleaveland, R., Marcus, S.: Generalized Synchronization Trees. Lecture notes in computer science, vol. 8412, pp. 304\u2013319. Springer (2014)","DOI":"10.1007\/978-3-642-54830-7_20"},{"key":"296_CR19","unstructured":"Cuijpers, P.: Prefix orders as a general model of dynamics. In: Proceedings of the 9th International Workshop on Developments in Computational Models, pp. 25\u201329 (2013)"},{"key":"296_CR20","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/0020-0190(88)90126-3","volume":"29","author":"J-C Raoult","year":"1988","unstructured":"Raoult, J.-C.: Proving open properties by induction. Inf. Process. Lett. 29, 19\u201323 (1988)","journal-title":"Inf. Process. Lett."},{"key":"296_CR21","unstructured":"A principle of mathematical induction for partially ordered sets with infima. http:\/\/mathoverflow.net\/questions\/38238"},{"key":"296_CR22","unstructured":"Ivanov, I.: On induction for diamond-free directed complete partial orders. In: Proceedings of the 16th international conference on ICT in education, research and industrial applications. integration, harmonization and knowledge transfer, volume 2: workshops. CEUR-WS.org, vol. 2732, pp. 70\u201373 (2020)"},{"key":"296_CR23","unstructured":"Ogawa, M., Sternagel, C.: Open induction. Archive of Formal Proofs (2012). https:\/\/isa-afp.org\/entries\/Open_Induction.html"},{"key":"296_CR24","first-page":"166","volume":"1308","author":"I Ivanov","year":"2021","unstructured":"Ivanov, I.: On induction principles for diamond-free partial orders. Commun. Comput. Inf. Sci. 1308, 166\u2013190 (2021)","journal-title":"Commun. Comput. Inf. Sci."}],"container-title":["Logica Universalis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11787-022-00296-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11787-022-00296-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11787-022-00296-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,11]],"date-time":"2022-07-11T15:30:12Z","timestamp":1657553412000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11787-022-00296-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,2,2]]},"references-count":24,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["296"],"URL":"https:\/\/doi.org\/10.1007\/s11787-022-00296-7","relation":{},"ISSN":["1661-8297","1661-8300"],"issn-type":[{"value":"1661-8297","type":"print"},{"value":"1661-8300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,2,2]]},"assertion":[{"value":"16 June 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 December 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 February 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}