Communicating sequential processes
Communicating sequential processes
Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Mathematical control theory: deterministic systems
Mathematical control theory: deterministic systems
Equivalences, congruences, and complete axiomatizations for probabilistic processes
CONCUR '90 Proceedings on Theories of concurrency : unification and extension: unification and extension
Operational and algebraic semantics of concurrent processes
Handbook of theoretical computer science (vol. B)
Bisimulation through probabilistic testing
Information and Computation
Theoretical Computer Science
First steps in modal logic
Handbook of logic in computer science (vol. 4)
Model-checking of real-time systems: a telecommunications application: experience report
ICSE '97 Proceedings of the 19th international conference on Software engineering
Stochastic processes as concurrent constraint programs
Proceedings of the 26th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Communication and Concurrency
Hybrid Systems IV
Testing Preorders for Probabilistic Processes
ICALP '92 Proceedings of the 19th International Colloquium on Automata, Languages and Programming
Bisimulation for Probabilistic Transition Systems: A Coalgebraic Approach
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
Probabilistic Simulations for Probabilistic Processes
CONCUR '94 Proceedings of the Concurrency Theory
On Automatically Explaining Bisimulation Inequivalence
CAV '90 Proceedings of the 2nd International Workshop on Computer Aided Verification
Category Theory and Computer Science
Compositional Testing Preorders for Probabilistic Processes
LICS '95 Proceedings of the 10th Annual IEEE Symposium on Logic in Computer Science
Bisimulation for Labelled Markov Processes
LICS '97 Proceedings of the 12th Annual IEEE Symposium on Logic in Computer Science
A Logical Characterization of Bisimulation for Labeled Markov Processes
LICS '98 Proceedings of the 13th Annual IEEE Symposium on Logic in Computer Science
Universal coalgebra: a theory of systems
Universal coalgebra: a theory of systems
Semi-pullbacks and bisimulation in categories of Markov processes
Mathematical Structures in Computer Science
Verification of randomized distributed algorithms
Lectures on formal methods and performance analysis
Towards Quantitative Verification of Probabilistic Transition Systems
ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
Testing Labelled Markov Processes
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Weak Bisimulation is Sound and Complete for PCTL*
CONCUR '02 Proceedings of the 13th International Conference on Concurrency Theory
A Logic for Probabilities in Semantics
CSL '02 Proceedings of the 16th International Workshop and 11th Annual Conference of the EACSL on Computer Science Logic
Approximating Labeled Markov Processes
LICS '00 Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science
Approximating labelled Markov processes
Information and Computation
Factoring stochastic relations
Information Processing Letters
Metrics for labelled Markov processes
Theoretical Computer Science - Logic, semantics and theory of programming
A hierarchy of probabilistic system types
Theoretical Computer Science - Selected papers of CMCS'03
Semi-pullbacks for stochastic relations over analytic spaces
Mathematical Structures in Computer Science
A theory of stochastic systems: part I: Stochastic automata
Information and Computation
Model checking discounted temporal properties
Theoretical Computer Science - Tools and algorithms for the construction and analysis of systems (TACAS 2004)
On finite-state approximants for probabilistic computation tree logic
Theoretical Computer Science - Quantitative aspects of programming languages (QAPL 2004)
A probabilistic polynomial-time process calculus for the analysis of cryptographic protocols
Theoretical Computer Science
Bisimulation and cocongruence for probabilistic systems
Information and Computation - Special issue: Seventh workshop on coalgebraic methods in computer science 2004
Final coalgebras for functors on measurable spaces
Information and Computation - Special issue: Seventh workshop on coalgebraic methods in computer science 2004
Probabilistic event structures and domains
Theoretical Computer Science - Concurrency theory (CONCUR 2004)
Measuring the confinement of probabilistic systems
Theoretical Computer Science - Theoretical foundations of security analysis and design II
Domain theory, testing and simulation for labelled Markov processes
Theoretical Computer Science - Foundations of software science and computation structures
Eilenberg--Moore algebras for stochastic relations
Information and Computation
Switched PIOA: parallel composition via distributed scheduling
Theoretical Computer Science - Components and objects
Tracing Relations Probabilistically
Fundamenta Informaticae
Tracing Relations Probabilistically
Fundamenta Informaticae
Labelled Markov Processes as Generalised Stochastic Relations
Electronic Notes in Theoretical Computer Science (ENTCS)
Recursively defined metric spaces without contraction
Theoretical Computer Science
A testing scenario for probabilistic processes
Journal of the ACM (JACM)
Modular construction of complete coalgebraic logics
Theoretical Computer Science
Bisimulation relations for weighted automata
Theoretical Computer Science
Bisimilarity of Distributionally Equivalent Markov Transition Systems
Electronic Notes in Theoretical Computer Science (ENTCS)
A computable approach to measure and integration theory
Information and Computation
Behavioral and Logical Equivalence of Stochastic Kripke Models in General Measurable Spaces
TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
Approximating Markov Processes by Averaging
ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
Electronic Notes in Theoretical Computer Science (ENTCS)
Coalgebraic Logic over Measurable Spaces: Behavioral and Logical Equivalence
Electronic Notes in Theoretical Computer Science (ENTCS)
Electronic Notes in Theoretical Computer Science (ENTCS)
Labelled Markov Processes: Stronger and Faster Approximations
Electronic Notes in Theoretical Computer Science (ENTCS)
The Countable Character of Uncountable Graphs
Electronic Notes in Theoretical Computer Science (ENTCS)
A theory of stochastic systems part I: Stochastic automata
Information and Computation
Bisimulation and cocongruence for probabilistic systems
Information and Computation - Special issue: Seventh workshop on coalgebraic methods in computer science 2004
Final coalgebras for functors on measurable spaces
Information and Computation - Special issue: Seventh workshop on coalgebraic methods in computer science 2004
Semi-pullbacks and bisimulations in categories of stochastic relations
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Simulation hemi-metrics between infinite-state stochastic games
FOSSACS'08/ETAPS'08 Proceedings of the Theory and practice of software, 11th international conference on Foundations of software science and computational structures
Structural operational semantics for stochastic process calculi
FOSSACS'08/ETAPS'08 Proceedings of the Theory and practice of software, 11th international conference on Foundations of software science and computational structures
Approximating labelled Markov processes again!
CALCO'09 Proceedings of the 3rd international conference on Algebra and coalgebra in computer science
PCTL model checking of Markov chains: Truth and falsity as winning strategies in games
Performance Evaluation
Probabilistic Logical Characterization
Information and Computation
A stochastic interpretation of propositional dynamic logic: expressivity
ICLA'11 Proceedings of the 4th Indian conference on Logic and its applications
A logical duality for underspecified probabilistic systems
Information and Computation
Coalgebraic logic over general measurable spaces ??? a survey
Mathematical Structures in Computer Science
Unprovability of the logical characterization of bisimulation
Information and Computation
ICALP'11 Proceedings of the 38th international conference on Automata, languages and programming - Volume Part II
Bisimulations for non-deterministic labelled markov processes
Mathematical Structures in Computer Science
Stochastic transition systems for continuous state spaces and non-determinism
FOSSACS'05 Proceedings of the 8th international conference on Foundations of Software Science and Computation Structures
Look: simple stochastic relations are just, well, simple
CALCO'05 Proceedings of the First international conference on Algebra and Coalgebra in Computer Science
Congruences and bisimulations for continuous-time stochastic logic
ICTAC'05 Proceedings of the Second international conference on Theoretical Aspects of Computing
Probability and nondeterminism in operational models of concurrency
CONCUR'06 Proceedings of the 17th international conference on Concurrency Theory
Hyperfinite approximations to labeled markov transition systems
AMAST'06 Proceedings of the 11th international conference on Algebraic Methodology and Software Technology
Measurable stochastics for Brane Calculus
Theoretical Computer Science
Lumpability abstractions of rule-based systems
Theoretical Computer Science
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
Solving graded/probabilistic modal logic via linear inequalities (system description)
LPAR'12 Proceedings of the 18th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
Approximating Markov processes through filtration
Theoretical Computer Science
Formal Methods in System Design
Bisimulation Metrics for Continuous Markov Decision Processes
SIAM Journal on Computing
Dexter kozen's influence on the theory of labelled markov processes
Logic and Program Semantics
Taking it to the limit: approximate reasoning for markov processes
MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
Tracing Relations Probabilistically
Fundamenta Informaticae
Tracing Relations Probabilistically
Fundamenta Informaticae
Continuous capacities on continuous state spaces
ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
The duality of state and observation in probabilistic transition systems
TbiLLC'11 Proceedings of the 9th international conference on Logic, Language, and Computation
Testing probabilistic equivalence through Reinforcement Learning
Information and Computation
Approximating Markov Processes by Averaging
Journal of the ACM (JACM)
Approximating Bisimilarity for Markov Processes
Electronic Notes in Theoretical Computer Science (ENTCS)
Electronic Notes in Theoretical Computer Science (ENTCS)
A compositional modelling and analysis framework for stochastic hybrid systems
Formal Methods in System Design
Stone Duality for Markov Processes
LICS '13 Proceedings of the 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science
Measurable Spaces and Their Effect Logic
LICS '13 Proceedings of the 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science
Hi-index | 0.01 |
In this paper we introduce a new class of labelled transition systems--labelled Markov processes-- and define bisimulation for them. Labelled Markov processes are probabilistic labelled transition systems where the state space is not necessarily discrete. We assume that the state space is a certain type of common metric space called an analytic space. We show that our definition of probabilistic bisimulation generalizes the Larsen-Skou definition given for discrete systems. The formalism and mathematics is substantially different from the usual treatment of probabilistic process algebra. The main technical contribution of the paper is a logical characterization of probabilistic bisimulation. This study revealed some unexpected results, even for discrete probabilistic systems. • Bisimulation can be characterized by a very weak modal logic. The most striking feature is that one has no negation or any kind of negative proposition. • We do not need any finite branching assumption, yet there is no need of infinitary conjunction.We also show how to construct the maximal autobisimulation on a system. In the finite state case, this is just a state minimization construction. The proofs that we give are of an entirely different character than the typical proofs of these results. They use quite subtle facts about analytic spaces and appear, at first sight, to be entirely nonconstructive. Yet one can give an algorithm for deciding bisimilarity of finite state systems which constructs a formula that witnesses the failure of bisimnlation.