Abstract
This is a formalization of Markov models in Isabelle/HOL. It
builds on Isabelle's probability theory. The available models are
currently Discrete-Time Markov Chains and a extensions of them with
rewards.
BSD LicenseAs application of these models we formalize probabilistic model checking of pCTL formulas, analysis of IPv4 address allocation in ZeroConf and an analysis of the anonymity of the Crowds protocol. See here for the corresponding paper.
Topics
Theories of Markov_Models
- Markov_Models_Auxiliary
- Discrete_Time_Markov_Chain
- Trace_Space_Equals_Markov_Processes
- Classifying_Markov_Chain_States
- Markov_Decision_Process
- MDP_Reachability_Problem
- Discrete_Time_Markov_Process
- Continuous_Time_Markov_Chain
- Markov_Models
- Example_A
- Example_B
- PCTL
- PGCL
- Crowds_Protocol
- Zeroconf_Analysis
- Gossip_Broadcast
- MDP_RP_Certification
- MDP_RP