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Volumn 5201 LNCS, Issue , 2008, Pages 264-278

Least upper bounds for probability measures and their applications to abstractions

Author keywords

[No Author keywords available]

Indexed keywords

ABSTRACT INTERPRETATIONS; ABSTRACT MODELS; ABSTRACTION TECHNIQUES; AUTOMATIC ANALYSIS; CONTINUOUS TIME MARKOV CHAINS; DISCRETE TIME MARKOV CHAINS; KEY TECHNIQUES; MARKOV DECISION PROCESSES; PROBABILISTIC PROGRAMS; PROBABILISTIC SYSTEMS; PROBABILITY MEASURES; STATE SPACES; TECHNICAL TOOLS; UPPER BOUNDS;

EID: 54249122162     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-85361-9_23     Document Type: Conference Paper
Times cited : (7)

References (23)
  • 1
    • 84941709469 scopus 로고    scopus 로고
    • Model checking continuous-time Markov chains
    • Aziz, A., Sanwal, K., Singhal, V., Brayton, R.: Model checking continuous-time Markov chains. ACM TOCL 1, 162-170 (2000)
    • (2000) ACM TOCL , vol.1 , pp. 162-170
    • Aziz, A.1    Sanwal, K.2    Singhal, V.3    Brayton, R.4
  • 2
    • 27644517480 scopus 로고    scopus 로고
    • Effcient computation of time-bounded reachability probabilities in uniform continuous-time Markov decision processes
    • Jensen, K, Podelski, A, eds, TACAS 2004, Springer, Heidelberg
    • Baier, C., Haverkrot, B., Hermanns, H., Katoen, J.-P.: Effcient computation of time-bounded reachability probabilities in uniform continuous-time Markov decision processes. In: Jensen, K., Podelski, A. (eds.) TACAS 2004. LNCS, vol. 2988, pp. 61-76. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.2988 , pp. 61-76
    • Baier, C.1    Haverkrot, B.2    Hermanns, H.3    Katoen, J.-P.4
  • 3
    • 21244460040 scopus 로고    scopus 로고
    • Comparative branching-time semantics for Markov chains
    • Baier, C., Hermanns, H., Katoen, J.-P., Wolf, V.: Comparative branching-time semantics for Markov chains. Inf. and Comp. 200, 149-214 (2005)
    • (2005) Inf. and Comp , vol.200 , pp. 149-214
    • Baier, C.1    Hermanns, H.2    Katoen, J.-P.3    Wolf, V.4
  • 4
    • 54249133429 scopus 로고    scopus 로고
    • Least upper bounds for probability measures and their applications to abstractions
    • Technical Report UIUCDCSR-2008-2973, UIUC
    • Chadha, R., Viswanathan, M., Viswanathan, R.: Least upper bounds for probability measures and their applications to abstractions. Technical Report UIUCDCSR-2008-2973, UIUC (2008)
    • (2008)
    • Chadha, R.1    Viswanathan, M.2    Viswanathan, R.3
  • 5
    • 84957809842 scopus 로고    scopus 로고
    • Reachability analysis of probabilistic systems by successive refinements
    • de Luca, L, Gilmore, S, eds, PROBMIV 2001, Springer, Heidelberg
    • D'Argenio, P.R., Jeannet, B., Jensen, H.E., Larsen, K.G.: Reachability analysis of probabilistic systems by successive refinements. In: de Luca, L., Gilmore, S. (eds.) PROBMIV 2001. LNCS, vol. 2165, pp. 39-56. Springer, Heidelberg (2001)
    • (2001) LNCS , vol.2165 , pp. 39-56
    • D'Argenio, P.R.1    Jeannet, B.2    Jensen, H.E.3    Larsen, K.G.4
  • 6
    • 84943267387 scopus 로고    scopus 로고
    • Reduction and refinement strategies for probabilistic analysis
    • Hermanns, H, Segala, R, eds, PROBMIV 2002, Springer, Heidelberg
    • D'Argenio, P.R., Jeannet, B., Jensen, H.E., Larsen, K.G.: Reduction and refinement strategies for probabilistic analysis. In: Hermanns, H., Segala, R. (eds.) PROBMIV 2002. LNCS, vol. 2399, pp. 57-76. Springer, Heidelberg (2002)
    • (2002) LNCS , vol.2399 , pp. 57-76
    • D'Argenio, P.R.1    Jeannet, B.2    Jensen, H.E.3    Larsen, K.G.4
  • 8
    • 33745769301 scopus 로고    scopus 로고
    • Don't know in probabilistic systems
    • Fecher, H., Leucker, M., Wolf, V.: Don't know in probabilistic systems. In: Proc. of SPIN, pp. 71-88 (2006)
    • (2006) Proc. of SPIN , pp. 71-88
    • Fecher, H.1    Leucker, M.2    Wolf, V.3
  • 9
    • 33745772616 scopus 로고    scopus 로고
    • An abstraction framework for mixed non-deterministic and probabilistic systems
    • Huth, M.: An abstraction framework for mixed non-deterministic and probabilistic systems. In: Validation of Stochastic Systems: A Guide to Current Research, pp. 419-444 (2004)
    • (2004) Validation of Stochastic Systems: A Guide to Current Research , pp. 419-444
    • Huth, M.1
  • 10
    • 27744519323 scopus 로고    scopus 로고
    • Huth, M.: On finite-state approximants for probabilistic computation tree logic. TCS 346, 113-134 (2005) 11. Jones, C.: Probabilistic Non-determinism. PhD thesis, University of Edinburgh (1990)
    • Huth, M.: On finite-state approximants for probabilistic computation tree logic. TCS 346, 113-134 (2005) 11. Jones, C.: Probabilistic Non-determinism. PhD thesis, University of Edinburgh (1990)
  • 11
    • 0026191240 scopus 로고
    • Specification and refinement of probabilistic processes
    • Jonsson, B., Larsen, K.G.: Specification and refinement of probabilistic processes. In: Proc. of LICS, pp. 266-277 (1991)
    • (1991) Proc. of LICS , pp. 266-277
    • Jonsson, B.1    Larsen, K.G.2
  • 12
    • 38149121410 scopus 로고    scopus 로고
    • Katoen, J.-P., Klink, D., Leucker, M., Wolf, V.: Three-valued abstraction for continuous-time Markov chains. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, 4590, pp. 311-324. Springer, Heidelberg (2007)
    • Katoen, J.-P., Klink, D., Leucker, M., Wolf, V.: Three-valued abstraction for continuous-time Markov chains. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 311-324. Springer, Heidelberg (2007)
  • 13
    • 37149003984 scopus 로고    scopus 로고
    • Game-based abstraction for Markov decision processes
    • Kwiatkowska, M., Norman, G., Parker, D.: Game-based abstraction for Markov decision processes. In: Proc. of QEST, pp. 157-166 (2006)
    • (2006) Proc. of QEST , pp. 157-166
    • Kwiatkowska, M.1    Norman, G.2    Parker, D.3
  • 15
    • 24344475591 scopus 로고    scopus 로고
    • Abstract interpretation of programs as Markov decision processes
    • Monniaux, D.: Abstract interpretation of programs as Markov decision processes. Science of Computer Programming 58, 179-205 (2005)
    • (2005) Science of Computer Programming , vol.58 , pp. 179-205
    • Monniaux, D.1
  • 18
    • 85034422328 scopus 로고    scopus 로고
    • Saheb-Djahromi, N.: Probabilistic LCF. In: Winkowski, J. (ed.) MFCS 1978. LNCS, 64, pp. 442-451. Springer, Heidelberg (1978)
    • Saheb-Djahromi, N.: Probabilistic LCF. In: Winkowski, J. (ed.) MFCS 1978. LNCS, vol. 64, pp. 442-451. Springer, Heidelberg (1978)
  • 19
    • 33749562781 scopus 로고    scopus 로고
    • Probability and nondeterminism in operational models of concurrency
    • Baier, C, Hermanns, H, eds, CONCUR 2006, Springer, Heidelberg
    • Segala, R.: Probability and nondeterminism in operational models of concurrency. In: Baier, C., Hermanns, H. (eds.) CONCUR 2006. LNCS, vol. 4137, pp. 64-78. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4137 , pp. 64-78
    • Segala, R.1
  • 20
    • 33745801332 scopus 로고    scopus 로고
    • Model checking Markov chains in the presence of uncertainties
    • Hermanns, H, Palsberg, J, eds, TACAS 2006, Springer, Heidelberg
    • Sen, K., Viswanathan, M., Agha, G.: Model checking Markov chains in the presence of uncertainties. In: Hermanns, H., Palsberg, J. (eds.) TACAS 2006. LNCS, vol. 3920, pp. 394-410. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.3920 , pp. 394-410
    • Sen, K.1    Viswanathan, M.2    Agha, G.3
  • 22
    • 16244366274 scopus 로고    scopus 로고
    • Numerical vs. statistical probabilistic model checking: An empirical study
    • Jensen, K, Podelski, A, eds, TACAS 2004, Springer, Heidelberg
    • Younes, H., Kwiatkowska, M., Norman, G., Parker, D.: Numerical vs. statistical probabilistic model checking: An empirical study. In: Jensen, K., Podelski, A. (eds.) TACAS 2004. LNCS, vol. 2988, pp. 46-60. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.2988 , pp. 46-60
    • Younes, H.1    Kwiatkowska, M.2    Norman, G.3    Parker, D.4
  • 23
    • 84921391802 scopus 로고    scopus 로고
    • Younes, H., Simmons, R.G.: Probabilistic verification of discrete event systems using acceptance sampling. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, 2404, pp. 223-235. Springer, Heidelberg (2002)
    • Younes, H., Simmons, R.G.: Probabilistic verification of discrete event systems using acceptance sampling. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, pp. 223-235. Springer, Heidelberg (2002)


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