[Club2] Invitation: Markov chains and Markov decision processes in Isabelle/HOL @ Wed Feb 17, 2016 14:45 - 15:45 (Club2)

[julianbrunner at gmail.com]

You have been invited to the following event.

Title: Markov chains and Markov decision processes in Isabelle/HOL
Speaker: Johannes Hölzl
Abstract:
This paper presents an extensive formalization of Markov chains (MCs) and  
Markov decision processes (MDPs), with discrete time and (possibly  
infinite) discrete state-spaces. The formalization takes a coalgebraic view  
on the transition systems representing MCs and constructs their trace  
spaces. On these trace spaces properties like fairness, reachability, and  
stationary distributions are formalized. Similar to MCs, MDPs are  
represented as transition systems with a construction for trace spaces.  
These trace spaces provide maximal and minimal expectation over all  
possible non-deterministic decisions. As applications we provide a  
certifier for finite reachability problems and we relate the denotational  
semantics and operational semantics of the probabilistic guarded command  
language (pGCL).
A distinctive feature of our formalization is the order-theoretic and  
coalgebraic view on our concepts: we view transition systems as coalgebras,  
we view traces as coinductive  streams, we provide iterative computation  
rules for expectations, and we define many properties on traces as least or  
greatest fixed points.
When: Wed Feb 17, 2016 14:45 - 15:45 Berlin
Where: MI 00.09.038 (Turing)
Calendar: Club2
Who:
     * julianbrunner at gmail.com - creator
     * club2 at mailbroy.informatik.tu-muenchen.de

Event details:  
https://www.google.com/calendar/event?action=VIEW&eid=ajM3dTNvdDZ0bXFnZ3JhcmZzamc5YjlhOW8gY2x1YjJAbWFpbGJyb3kuaW5mb3JtYXRpay50dS1tdWVuY2hlbi5kZQ&tok=NTIjc2U2ZWJlM3RvZmY0Y2g1bm11bmlibTVtOThAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbWJjZGYyZTJkNmU5ZTA1ZTI2MzY4NTY4ZTVmZjlkMjZiNWZkMmU1OWU&ctz=Europe/Berlin&hl=en

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