Approximating Labelled Markov Processes Again!

نویسندگان

  • Philippe Chaput
  • Vincent Danos
  • Prakash Panangaden
  • Gordon D. Plotkin
چکیده

Labelled Markov processes are continuous-state fully probabilistic labelled transition systems. They can be seen as co-algebras of a suitable monad on the category of measurable space. The theory as developed so far included a treatment of bisimulation, logical characterization of bisimulation, weak bisimulation, metrics, universal domains for LMPs and approximations. Much of the theory involved delicate properties of analytic spaces. Recently a new kind of averaging procedure was used to construct approximations. Remarkably, this version of the theory uses a dual view of LMPs and greatly simplifies the theory eliminating the need to consider aanlytic spaces. In this talk I will survey some of the ideas that led to this work.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Approximating labelled Markov processes

Labelled Markov processes are probabilistic versions of labelled transition systems. In general, the state space of a labelled Markov process may be a continuum. In this paper, we study approximation techniques for continuous-state labelled Markov processes. We show that the collection of labelled Markov processes carries a Polish-space structure with a countable basis given by finite-state Mar...

متن کامل

Bisimulation for Markov Decision Processes through Families of Functional Expressions

We transfer a notion of quantitative bisimilarity for labelled Markov processes [1] to Markov decision processes with continuous state spaces. This notion takes the form of a pseudometric on the system states, cast in terms of the equivalence of a family of functional expressions evaluated on those states and interpreted as a real-valued modal logic. Our proof amounts to a slight modification o...

متن کامل

Labelled Markov Processes

Labelled Markov processes are probabilistic versions of labelled transition systems. Labelled transition systems where the final state is.. Labelled Markov processes are probabilistic versions of labelled transition systems. Labelled transition systems where the final state is.. Systems that can be in a state and have transitions between states; these transitions are triggered by actions. The t...

متن کامل

Bisimulation for Labelled Markov Processes

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, it could be the reals, for example. We assume that it is a Polish space (the underlying topological space for a complete separable metric space)...

متن کامل

Domain theory, testing and simulation for labelled Markov processes

This paper presents a fundamental study of similarity and bisimilarity for labelled Markov processes. The main results characterize similarity as a testing preorder and bisimilarity as a testing equivalence. In general, labelled Markov processes are not required to satisfy a finite-branching condition—indeed the state space may be a continuum, with the transitions given by arbitrary probability...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009