{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T00:49:54Z","timestamp":1725670194019},"publisher-location":"Berlin, Heidelberg","reference-count":24,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642287558"},{"type":"electronic","value":"9783642287565"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-28756-5_24","type":"book-chapter","created":{"date-parts":[[2012,3,22]],"date-time":"2012-03-22T20:57:15Z","timestamp":1332449835000},"page":"347-361","source":"Crossref","is-referenced-by-count":4,"title":["Verifying pCTL Model Checking"],"prefix":"10.1007","author":[{"given":"Johannes","family":"H\u00f6lzl","sequence":"first","affiliation":[]},{"given":"Tobias","family":"Nipkow","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"24_CR1","unstructured":"Baier, C.: On the Algorithmic Verification of Probabilistic Systems. Habilitation, Universit\u00e4t Mannheim (1998)"},{"key":"24_CR2","doi-asserted-by":"crossref","unstructured":"Bauer, H.: Probability Theory. de Gruyter (1995)","DOI":"10.1515\/9783110814668"},{"issue":"3-4","key":"24_CR3","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1023\/A:1006225515062","volume":"23","author":"C.T. Chou","year":"1999","unstructured":"Chou, C.T., Peled, D.: Formal verification of a partial-order reduction technique for model checking. Journal of Automated Reasoning\u00a023(3-4), 265\u2013298 (1999)","journal-title":"Journal of Automated Reasoning"},{"key":"24_CR4","unstructured":"Coble, A.R.: Anonymity, Information, and Machine-Assisted Proof. Ph.D. thesis, King\u2019s College, University of Cambridge (2009)"},{"key":"24_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1007\/978-3-642-12251-4_9","volume-title":"Functional and Logic Programming","author":"F. Haftmann","year":"2010","unstructured":"Haftmann, F., Nipkow, T.: Code Generation via Higher-Order Rewrite Systems. In: Blume, M., Kobayashi, N., Vidal, G. (eds.) FLOPS 2010. LNCS, vol.\u00a06009, pp. 103\u2013117. Springer, Heidelberg (2010)"},{"key":"24_CR6","unstructured":"Hansson, H., Jonsson, B.: A logic for reasoning about time and reliability. Tech. Rep. SICS\/R90013, Swedish Institute of Computer Science (December 1994)"},{"key":"24_CR7","unstructured":"Hurd, J.: Formal Verification of Probabilistic Algorithms. Ph.D. thesis, University of Cambridge (2002)"},{"key":"24_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/978-3-642-22863-6_12","volume-title":"Interactive Theorem Proving","author":"J. H\u00f6lzl","year":"2011","unstructured":"H\u00f6lzl, J., Heller, A.: Three Chapters of Measure Theory in Isabelle\/HOL. In: van Eekelen, M.C.J.D., Geuvers, H., Schmaltz, J., Wiedijk, F. (eds.) ITP 2011. LNCS, vol.\u00a06898, pp. 135\u2013151. Springer, Heidelberg (2011)"},{"key":"24_CR9","unstructured":"H\u00f6zl, J., Nipkow, T.: Markov models. In: Klein, G., Nipkow, T., Paulson, L. (eds.) The Archive of Formal Proofs, formal proof development (January 2012), \n                    \n                      http:\/\/afp.sf.net\/entries\/Markov_Models.shtml"},{"key":"24_CR10","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1016\/j.peva.2010.04.001","volume":"68","author":"J.P. Katoen","year":"2011","unstructured":"Katoen, J.P., Zapreev, I.S., Hahn, E.M., Hermanns, H., Jansen, D.N.: The ins and outs of the probabilistic model checker MRMC. Performance Evaluation\u00a068, 90\u2013104 (2011)","journal-title":"Performance Evaluation"},{"key":"24_CR11","doi-asserted-by":"crossref","unstructured":"Klein, G., Elphinstone, K., Heiser, G., Andronick, J., Cock, D., Derrin, P., Elkaduwe, D., Engelhardt, K., Kolanski, R., Norrish, M., Sewell, T., Tuch, H., Winwood, S.: seL4: Formal verification of an OS kernel. In: Proc. 22nd ACM Symposium on Operating Systems Principles 2009, pp. 207\u2013220 (2009)","DOI":"10.1145\/1629575.1629596"},{"key":"24_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1007\/978-3-540-72522-0_6","volume-title":"Formal Methods for Performance Evaluation","author":"M. Kwiatkowska","year":"2007","unstructured":"Kwiatkowska, M., Norman, G., Parker, D.: Stochastic Model Checking. In: Bernardo, M., Hillston, J. (eds.) SFM 2007. LNCS, vol.\u00a04486, pp. 220\u2013270. Springer, Heidelberg (2007)"},{"key":"24_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1007\/978-3-642-22110-1_47","volume-title":"Computer Aided Verification","author":"M. Kwiatkowska","year":"2011","unstructured":"Kwiatkowska, M., Norman, G., Parker, D.: PRISM 4.0: Verification of Probabilistic Real-Time Systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol.\u00a06806, pp. 585\u2013591. Springer, Heidelberg (2011)"},{"key":"24_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1007\/978-3-642-02658-4_39","volume-title":"Computer Aided Verification","author":"P. Lammich","year":"2009","unstructured":"Lammich, P., M\u00fcller-Olm, M., Wenner, A.: Predecessor Sets of Dynamic Pushdown Networks with Tree-Regular Constraints. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol.\u00a05643, pp. 525\u2013539. Springer, Heidelberg (2009)"},{"key":"24_CR15","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1007\/s10817-009-9155-4","volume":"43","author":"X. Leroy","year":"2009","unstructured":"Leroy, X.: A formally verified compiler back-end. J. Automated Reasoning\u00a043, 363\u2013446 (2009)","journal-title":"J. Automated Reasoning"},{"key":"24_CR16","unstructured":"Levin, D.A., Peres, Y., Wilmer, E.L.: Markov chains and mixing times. AMS (2006)"},{"key":"24_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1007\/978-3-642-24372-1_8","volume-title":"Automated Technology for Verification and Analysis","author":"L. Liu","year":"2011","unstructured":"Liu, L., Hasan, O., Tahar, S.: Formalization of Finite-State Discrete-Time Markov Chains in HOL. In: Bultan, T., Hsiung, P.-A. (eds.) ATVA 2011. LNCS, vol.\u00a06996, pp. 90\u2013104. Springer, Heidelberg (2011)"},{"key":"24_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/978-3-642-22863-6_18","volume-title":"Interactive Theorem Proving","author":"T. Mhamdi","year":"2011","unstructured":"Mhamdi, T., Hasan, O., Tahar, S.: Formalization of Entropy Measures in HOL. In: van Eekelen, M.C.J.D., Geuvers, H., Schmaltz, J., Wiedijk, F. (eds.) ITP 2011. LNCS, vol.\u00a06898, pp. 233\u2013248. Springer, Heidelberg (2011)"},{"key":"24_CR19","unstructured":"Nipkow, T.: Gauss-Jordan elimination for matrices represented as functions. In: Klein, G., Nipkow, T., Paulson, L. (eds.) The Archive of Formal Proofs, formal proof development (August 2011), \n                    \n                      http:\/\/afp.sf.net\/entries\/Gauss-Jordan-Elim-Fun.shtml"},{"key":"24_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45949-9","volume-title":"Isabelle\/HOL","author":"T. Nipkow","year":"2002","unstructured":"Nipkow, T., Paulson, L.C., Wenzel, M.: Isabelle\/HOL. LNCS, vol.\u00a02283. Springer, Heidelberg (2002)"},{"issue":"2","key":"24_CR21","first-page":"194","volume":"7","author":"W. Reif","year":"2001","unstructured":"Reif, W., Schellhorn, G., Vollmer, T., Ruf, J.: Correctness of efficient real-time model checking. J. UCS\u00a07(2), 194\u2013209 (2001)","journal-title":"J. UCS"},{"key":"24_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"424","DOI":"10.1007\/978-3-642-03359-9_29","volume-title":"Theorem Proving in Higher Order Logics","author":"A. Schimpf","year":"2009","unstructured":"Schimpf, A., Merz, S., Smaus, J.-G.: Construction of B\u00fcchi Automata for LTL Model Checking Verified in Isabelle\/HOL. In: Berghofer, S., Nipkow, T., Urban, C., Wenzel, M. (eds.) TPHOLs 2009. LNCS, vol.\u00a05674, pp. 424\u2013439. Springer, Heidelberg (2009)"},{"key":"24_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/BFb0054171","volume-title":"Tools and Algorithms for the Construction and Analysis of Systems","author":"C. Sprenger","year":"1998","unstructured":"Sprenger, C.: A Verified Model Checker for the Modal \u03bc-Calculus in Coq. In: Steffen, B. (ed.) TACAS 1998. LNCS, vol.\u00a01384, pp. 167\u2013183. Springer, Heidelberg (1998)"},{"key":"24_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"452","DOI":"10.1007\/978-3-642-03359-9_31","volume-title":"Theorem Proving in Higher Order Logics","author":"R. Thiemann","year":"2009","unstructured":"Thiemann, R., Sternagel, C.: Certification of Termination Proofs Using CeTA. In: Berghofer, S., Nipkow, T., Urban, C., Wenzel, M. (eds.) TPHOLs 2009. LNCS, vol.\u00a05674, pp. 452\u2013468. Springer, Heidelberg (2009)"}],"container-title":["Lecture Notes in Computer Science","Tools and Algorithms for the Construction and Analysis of Systems"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-28756-5_24.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:08:51Z","timestamp":1620126531000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-28756-5_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642287558","9783642287565"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-28756-5_24","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}