@book(BaierKatoenBook, author = "Christel Baier and Joost Pieter Katoen", year = "2008", title = "Principles of {M}odel {C}hecking", publisher = "The {MIT} Press", ) @inproceedings(BA1995, author = "Andrea Bianco and Luca de Alfaro", year = "1995", title = "Model Checking of Probabilistic and Nondeterministic Systems", booktitle = "Foundations of Software Technology and Theoretical Computer Science", series = "Lecture Notes in Computer Science", volume = "1026", publisher = "Springer-Verlag", pages = "499--513", doi = "10.1007/3-540-60692-0\_70", ) @article(BSS1989, author = "Lenore Blum and Mike Shub and Steve Smale", year = "1989", title = "On a Theory of Computation and Complexity over the Real Numbers: {NP}-completeness, Recursive Functions and Universal Machines", journal = "Bulletin of the {AMS}", volume = "21", number = "1", doi = "10.1109/SFCS.1988.21955", ) @inproceedings(CPN99, author = "Rance Cleaveland and S. Purushothaman Iyer and Muralidhar Narasimha", year = "1999", title = "Probabilistic Temporal Logics via the Modal mu-Calculus", booktitle = "Foundations of Software Science and Computation Structures", doi = "10.1007/3-540-49019-1\_20", ) @article(AM04, author = "Luca {de Alfaro} and Rupak Majumdar", year = "2004", title = "Quantitative Solution of omega-Regular Games", journal = "Journal of Computer and System Sciences, Volume 68, Issue 2", pages = "374 -- 397", doi = "10.1016/j.jcss.2003.07.009", ) @inproceedings(DKLLPSW, author = "Benoit Delahaye and Joost Pieter Katoen and Kim Larsen and Axel Legay and Mikkel Pedersen and Falak Sher and Andrzej Wasowski", year = "2011", title = "Abstract Probabilistic Automata", booktitle = "Proc. of 12th VMCAI", doi = "10.1007/978-3-642-18275-4\_23", ) @inproceedings(DvG2010, author = "Yuxin Deng and Rob van Glabbeek", year = "2010", title = "Characterising Probabilistic Processes Logically", booktitle = "Logic for programming, artificial intelligence and reasoning", series = "Lecture Notes in Computer Science", volume = "6397", doi = "10.1007/978-3-642-16242-8\_20", ) @article(Ferrante1975, author = "Jeanne Ferrante and Charles Rackoff", year = "1975", title = "A Decision Procedure for the First Order Theory of Real Addition with Order", journal = "{SIAM} Journal of Computing", volume = "4", number = "1", pages = "69--76", doi = "10.1137/0204006", ) @inproceedings(FKNPQ2011, author = "Vojt\v {e}ch Forejt and Marta Kwiatkowska and Gethin Norman and David Parker and Hongyang Qu", year = "2011", title = "Quantitative multi-Objective Verification for Probabilistic Systems", booktitle = "Proc. of 14th TACAS", doi = "10.1007/978-3-642-19835-9\_11", ) @article(GS2011, author = "Thomas Martin Galwitza and Helmut Seidl", year = "2011", title = "Solving Systems of Rational Equations through Strategy Iteration", journal = "{ACM} Trabnsactions on Programming Languages and Systems", volume = "33", number = "3", doi = "10.1145/1961204.1961207", ) @book(HJ98, author = "Petr H\'{a}jek", year = "2001", title = "Metamathematics of Fuzzy Logic", publisher = "Springer", ) @inproceedings(HM96, author = "Michael Huth and Marta Kwiatkowska", year = "1997", title = "Quantitative Analysis and Model Checking", booktitle = "Proceeding of the 12th Annual IEEE Symposium on Logic in Computer Science", ) @article(pautomata2012, author = "Michael Huth and Nir Piterman and Daniel Wagner", year = "2012", title = "p-{A}utomata: {N}ew Foundations for discrete-time Probabilistic Verification", journal = "Perform. Eval.", volume = "69", number = "7-8", doi = "10.1016/j.peva.2012.05.005", ) @article(JW96, author = "David Janin and Igor Walukiewicz", year = "1996", title = "On the Expressive Completeness of the Propositional mu-Calculus with Respect to Monadic Second Order Logic", journal = "Lecture Notes in Computer Science", volume = "1119", pages = "263--277", doi = "10.1007/3-540-61604-7\_60", ) @inproceedings(Kozen83, author = "D. Kozen", year = "1983", title = "Results on the Propositional mu-Calculus", booktitle = "Theoretical Computer Science", pages = "333--354", doi = "10.1016/0304-3975(82)90125-6", ) @inproceedings(KNPQ2010, author = "Marta Kwiatkowska and Gethin Norman and David Parker and Hongyang Qu", year = "2010", title = "Assume-Guarantee Verification for Probabilistic Systems", booktitle = "Proceedings of 16th TACAS", doi = "10.1007/978-3-642-12002-2\_3", ) @inproceedings(Mader1995, author = "Angelika Mader", year = "1995", title = "Modal $\mu $-Calculus, Model Checking and Gau{\ss } Elimination", booktitle = "Tools and Algorithms for the Construction and Analysis of Systems (TACAS)", series = "LNCS", volume = "1019", pages = "72--88", doi = "10.1007/3-540-60630-0\_4", ) @article(MM07, author = "Annabelle McIver and Carroll Morgan", year = "2007", title = "Results on the Quantitative {$\mu $}-Calculus q{M}{$\mu $}", journal = "ACM Transactions on Computational Logic", volume = "8", number = "1", doi = "10.1145/1182613.1182616", ) @phdthesis(MioThesis, author = "Matteo Mio", year = "2012", title = "Game Semantics for Probabilistic {$\mu $}-Calculi", school = "School of Informatics, University of Edinburgh", note = "Permanent URL: {\url {http://hdl.handle.net/1842/6223}}", ) @article(MIO2012a, author = "Matteo Mio", year = "2012", title = "On The Equivalence of Denotational and Game Semantics for the Probabilistic {$\mu $}-Calculus", journal = "Logical Methods in Computer Science", volume = "8", number = "2", doi = "10.2168/LMCS-8(2:7)2012", ) @article(MIO2012b, author = "Matteo Mio", year = "2012", title = "{P}robabilistic {M}odal {$\mu $}-{C}alculus with {I}ndependent Product", journal = "Logical Methods in Computer Science", volume = "8", number = "4", doi = "10.2168/LMCS-8(4:18)2012", ) @inproceedings(MM97, author = "Carroll Morgan and Annabelle McIver", year = "1997", title = "A Probabilistic Temporal Calculus Based on Expectations", booktitle = "In Lindsay Groves and Steve Reeves, editors, Proc. Formal Methods", publisher = "Springer Verlag", ) @phdthesis(S95, author = "Roberto Segala", year = "1995", title = "Modeling and Verification of Randomized Distributed Real-Time Systems", school = "Laboratory for Computer Science, M.I.T.", ) @book(Stirling96, author = "Colin Stirling", year = "2001", title = "Modal and Temporal Logics for Processes", publisher = "Springer", doi = "10.1007/3-540-60915-6\_5", )