Luca Aceto, Anna Ingólfsdóttir, Paul Blain Levy & Joshua Sack (2012):
Characteristic formulae for fixed-point semantics: a general framework.
Mathematical Structures in Computer Science 22(2),
pp. 125–173,
doi:10.1017/S0960129511000375.
Alessandro Aldini, Mario Bravetti, Alessandra Di Pierro, Roberto Gorrieri, Chris Hankin & Herbert Wiklicky (2002):
Two Formal Approaches for Approximating Noninterference Properties.
In: FOSAD 2001/2002,
pp. 1–43,
doi:10.1007/978-3-540-24631-2_1.
Luca de Alfaro, Marco Faella & Mariëlle Stoelinga (2004):
Linear and Branching Metrics for Quantitative Transition Systems.
In: Proc. ICALP 2004,
pp. 97–109,
doi:10.1007/978-3-540-27836-8_11.
Luca de Alfaro, Thomas A. Henzinger & Rupak Majumdar (2003):
Discounting the Future in Systems Theory.
In: Proc. ICALP 2003,
pp. 1022–1037,
doi:10.1007/3-540-45061-0_79.
Luca de Alfaro, Rupak Majumdar, Vishwanath Raman & Mariëlle Stoelinga (2008):
Game Refinement Relations and Metrics.
Logical Methods in Computer Science 4(3),
doi:10.2168/LMCS-4(3:7)2008.
Giorgio Bacci, Giovanni Bacci, Kim G. Larsen & Radu Mardare (2014):
Topologies of Stochastic Markov Models: Computational Aspects.
CoRR abs/1403.6032.
Available at http://arxiv.org/abs/1403.6032.
Christel Baier (1998):
On Algorithmic Verification Methods for Probabilistic Systems.
Uviversität Mannheim.
Marco Bernardo, Rocco De Nicola & Michele Loreti (2015):
Revisiting bisimilarity and its modal logic for nondeterministic and probabilistic processes.
Acta Inf. 52(1),
pp. 61–106,
doi:10.1007/s00236-014-0210-1.
Bard Bloom, Wan J. Fokkink & Rob J. van Glabbeek (2004):
Precongruence formats for decorated trace semantics.
ACM Trans. Comput. Log. 5(1),
pp. 26–78,
doi:10.1145/963927.963929.
Franck van Breugel (2012):
On behavioural pseudometrics and closure ordinals.
Inf. Process. Lett. 112(19),
pp. 715–718,
doi:10.1016/j.ipl.2012.06.019.
Franck van Breugel & James Worrell (2001):
An Algorithm for Quantitative Verification of Probabilistic Transition Systems.
In: Proc. CONCUR 2001,
pp. 336–350,
doi:10.1007/3-540-44685-0_23.
Franck van Breugel & James Worrell (2005):
A behavioural pseudometric for probabilistic transition systems.
Theor. Comput. Sci. 331(1),
pp. 115–142,
doi:10.1016/j.tcs.2004.09.035.
Valentina Castiglioni, Daniel Gebler & Simone Tini (2016):
Modal Decomposition on Nondeterministic Probabilistic Processes.
In: Proc. CONCUR 2016,
LIPIcs.
Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik,
doi:10.4230/LIPIcs.CONCUR.2016.36.
Konstantinos Chatzikokolakis, Daniel Gebler, Catuscia Palamidessi & Lili Xu (2014):
Generalized Bisimulation Metrics.
In: Proc. CONCUR 2014,
pp. 32–46,
doi:10.1007/978-3-662-44584-6_4.
Edmund M. Clarke & E. Allen Emerson (1981):
Design and Synthesis of Synchronization Skeletons Using Branching-Time Temporal Logic.
In: Proc. Logics of Programs,
pp. 52–71,
doi:10.1007/BFb0025774.
Pedro R. D'Argenio, Pedro Sánchez Terraf & Nicolás Wolovick (2012):
Bisimulations for non-deterministic labelled Markov processes.
Mathematical Structures in Computer Science 22(1),
pp. 43–68,
doi:10.1017/S0960129511000454.
Yuxin Deng, Tom Chothia, Catuscia Palamidessi & Jun Pang (2006):
Metrics for Action-labelled Quantitative Transition Systems.
Electr. Notes Theor. Comput. Sci. 153(2),
pp. 79–96,
doi:10.1016/j.entcs.2005.10.033.
Yuxin Deng & Wenjie Du (2011):
Logical, Metric, and Algorithmic Characterisations of Probabilistic Bisimulation.
CoRR abs/1103.4577.
Available at http://arxiv.org/abs/1103.4577.
Yuxin Deng, Wenjie Du & Daniel Gebler (2015):
Modal Characterisations of Behavioural Pseudometrics.
CoRR abs/1509.03391.
Available at http://arxiv.org/abs/1509.03391.
Yuxin Deng, Yuan Feng & Ugo Dal Lago (2015):
On Coinduction and Quantum Lambda Calculi.
In: Proc. CONCUR 2015,
pp. 427–440,
doi:10.4230/LIPIcs.CONCUR.2015.427.
Yuxin Deng & Rob J. van Glabbeek (2010):
Characterising Probabilistic Processes Logically - (Extended Abstract).
In: Proc. LPAR-17,
pp. 278–293,
doi:10.1007/978-3-642-16242-8_20.
Yuxin Deng, Rob J. van Glabbeek, Matthew Hennessy & Carroll Morgan (2008):
Characterising Testing Preorders for Finite Probabilistic Processes.
Logical Methods in Computer Science 4(4),
doi:10.2168/LMCS-4(4:4)2008.
Josee Desharnais, Abbas Edalat & Prakash Panangaden (2002):
Bisimulation for Labelled Markov Processes.
Inf. Comput. 179(2),
pp. 163–193,
doi:10.1006/inco.2001.2962.
Josee Desharnais, Radha Jagadeesan, Vineet Gupta & Prakash Panangaden (2002):
The Metric Analogue of Weak Bisimulation for Probabilistic Processes.
In: Proc. LICS 2002,
pp. 413–422,
doi:10.1109/LICS.2002.1029849.
E. Allen Emerson (1990):
Temporal and Modal Logic.
In: Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics (B),
pp. 995–1072.
Uli Fahrenberg & Axel Legay (2014):
The quantitative linear-time-branching-time spectrum.
Theor. Comput. Sci. 538,
pp. 54–69,
doi:10.1016/j.tcs.2013.07.030.
Yuan Feng & Lijun Zhang (2014):
When Equivalence and Bisimulation Join Forces in Probabilistic Automata.
In: Proc. FM 2014,
pp. 247–262,
doi:10.1007/978-3-319-06410-9_18.
Wan J. Fokkink & Robert J. van Glabbeek (2016):
Divide and Congruence II: From Decomposition of Modal Formulas to Preservation of Delay and Weak Bisimilarity.
CoRR abs/1604.07530.
Wan J. Fokkink, Robert J. van Glabbeek & Paulien de Wind (2006):
Compositionality of Hennessy-Milner logic by structural operational semantics.
Theoret. Comput. Sci. 354(3),
pp. 421–440,
doi:10.1016/j.tcs.2005.11.035.
Wan J. Fokkink, Robert J. van Glabbeek & Paulien de Wind (2012):
Divide and congruence: From decomposition of modal formulas to preservation of branching and η-bisimilarity.
Inf. Comput. 214,
pp. 59–85,
doi:10.1016/j.ic.2011.10.011.
Daniel Gebler & Wan J. Fokkink (2012):
Compositionality of Probabilistic Hennessy-Milner Logic through Structural Operational Semantics.
In: Proc. CONCUR 2012,
pp. 395–409,
doi:10.1007/978-3-642-32940-1_28.
Daniel Gebler, Kim G. Larsen & Simone Tini (2015):
Compositional Metric Reasoning with Probabilistic Process Calculi.
In: Proc. FoSSaCS 2015,
pp. 230–245,
doi:10.1007/978-3-662-46678-0_15.
Daniel Gebler, Kim G. Larsen & Simone Tini (2016):
Compositional metric reasoning with Probabilistic Process Calculi.
Logical Methods in Computer Science.
Daniel Gebler & Simone Tini (2014):
Fixed-point Characterization of Compositionality Properties of Probabilistic Processes Combinators.
In: Proc. EXPRESS/SOS 2014,
pp. 63–78,
doi:10.4204/EPTCS.160.7.
Daniel Gebler & Simone Tini (2015):
SOS Specifications of Probabilistic Systems by Uniformly Continuous Operators.
In: Proc. CONCUR 2015,
pp. 155–168,
doi:10.4230/LIPIcs.CONCUR.2015.155.
Alessandro Giacalone, Chi-Chang Jou & Scott A. Smolka (1990):
Algebraic Reasoning for Probabilistic Concurrent Systems.
In: Proc. IFIP Work, Conf. on Programming, Concepts and Methods,
pp. 443–458.
Susanne Graf & Joseph Sifakis (1986):
A Modal Characterization of Observational Congruence on Finite Terms of CCS.
Information and Control 68(1-3),
pp. 125–145,
doi:10.1016/S0019-9958(86)80031-6.
Matthew Hennessy (2012):
Exploring Probabilistic Bisimulations, part I.
Formal Asp. Comput. 24(4-6),
pp. 749–768,
doi:10.1007/s00165-012-0242-7.
Matthew Hennessy & Robin Milner (1985):
Algebraic laws for nondeterminism and concurrency.
J. Assoc. Comput. Mach. 32,
pp. 137–161,
doi:10.1145/2455.2460.
Holger Hermanns, Jan Krcál & Jan Kretínský (2014):
Probabilistic Bisimulation: Naturally on Distributions.
In: Proc. CONCUR 2014,
pp. 249–265,
doi:10.1007/978-3-662-44584-6_18.
Holger Hermanns, Augusto Parma, Roberto Segala, Björn Wachter & Lijun Zhang (2011):
Probabilistic Logical Characterization.
Inf. Comput. 209(2),
pp. 154–172,
doi:10.1016/j.ic.2010.11.024.
Leonid V. Kantorovich (1942):
On the Transfer of Masses.
Doklady Akademii Nauk 37(2),
pp. 227–229.
Original article in Russian, translation in Management Science, 5: 1-4 (1959).
Robert M. Keller (1976):
Formal Verification of Parallel Programs.
Commun. ACM 19(7),
pp. 371–384,
doi:10.1145/360248.360251.
Marta Z. Kwiatkowska & Gethin Norman (1996):
Probabilistic Metric Semantics for a Simple Language with Recursion.
In: Proc. MFCS'96,
pp. 419–430,
doi:10.1007/3-540-61550-4_167.
Ruggero Lanotte & Simone Tini (2005):
Probabilistic Congruence for Semistochastic Generative Processes.
In: Proc. FoSSaCS'05,
LNCS 3441.
Springer,
pp. 63–78,
doi:10.1007/978-3-540-31982-5_4.
Ruggero Lanotte & Simone Tini (2009):
Probabilistic Bisimulation as a Congruence.
ACM TOCL 10,
pp. 1–48,
doi:10.1145/1462179.1462181.
Kim G. Larsen (1990):
Proof Systems for Satisfiability in Hennessy-Milner Logic with Recursion.
Theor. Comput. Sci. 72(2&3),
pp. 265–288,
doi:10.1016/0304-3975(90)90038-J.
Kim G. Larsen, Radu Mardare & Prakash Panangaden (2012):
Taking It to the Limit: Approximate Reasoning for Markov Processes.
In: Proc. MFCS 2012,
pp. 681–692,
doi:10.1007/978-3-642-32589-2_59.
Kim G. Larsen & Arne Skou (1991):
Bisimulation through Probabilistic Testing.
Inf. Comput. 94(1),
pp. 1–28,
doi:10.1016/0890-5401(91)90030-6.
Radu Mardare, Luca Cardelli & Kim G. Larsen (2012):
Continuous Markovian Logics - Axiomatization and Quantified Metatheory.
Logical Methods in Computer Science 8(4),
doi:10.2168/LMCS-8(4:19)2012.
David M. R. Park (1981):
Concurrency and automata of infinite sequences..
In: Proc. 5th GI Conference,
LNCS 104.
Springer,
pp. 167–183,
doi:10.1007/BFb0017309.
Augusto Parma & Roberto Segala (2007):
Logical Characterizations of Bisimulations for Discrete Probabilistic Systems.
In: Proc. FoSSaCS 2007,
pp. 287–301,
doi:10.1007/978-3-540-71389-0_21.
Alessandra Di Pierro, Chris Hankin & Herbert Wiklicky (2003):
Quantitative Relations and Approximate Process Equivalences.
In: Proc. CONCUR 2003,
pp. 498–512,
doi:10.1007/978-3-540-45187-7_33.
Joshua Sack & Lijun Zhang (2012):
A General Framework for Probabilistic Characterizing Formulae.
In: Proc. VMCAI 2012,
pp. 396–411,
doi:10.1007/978-3-642-27940-9_26.
Roberto Segala (1995):
Modeling and Verification of Randomized Distributed Real-Time Systems.
MIT.
Roberto Segala & Nancy A. Lynch (1995):
Probabilistic Simulations for Probabilistic Processes.
Nord. J. Comput. 2(2),
pp. 250–273.
Simone Tini (2008):
Non Expansive epsilon-Bisimulations.
In: Proc. AMAST 2008,
pp. 362–376,
doi:10.1007/978-3-540-79980-1_27.
Simone Tini (2010):
Non-expansive epsilon-bisimulations for probabilistic processes.
Theor. Comput. Sci. 411(22-24),
pp. 2202–2222,
doi:10.1016/j.tcs.2010.01.027.