Model-Checking Branching-Time Properties of Stateless Probabilistic Pushdown Systems and Its Quantum Extension

09/21/2022
by   Tianrong Lin, et al.
0

In this work, we first resolve a question in the probabilistic verification of infinite-state systems (specifically, the probabilistic pushdown systems). We show that model checking stateless probabilistic pushdown systems (pBPA) against probabilistic computational tree logic (PCTL) is generally undecidable. We define the quantum analogues of the probabilistic pushdown systems and Markov chains and investigate whether it is necessary to define a quantum analogue of probabilistic computational tree logic to describe the branching-time properties of the quantum Markov chain. We also study its model-checking problem and show that the model-checking of stateless quantum pushdown systems (qBPA) against probabilistic computational tree logic (PCTL) is generally undecidable, too. The immediate corollaries of the above results are summarized in the work.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
07/25/2018

Model Checking Quantum Systems --- A Survey

This article discusses the essential difficulties in developing model-ch...
research
06/15/2021

Probabilistic Metric Temporal Graph Logic

Cyber-physical systems often encompass complex concurrent behavior with ...
research
03/08/2021

Robust Model Checking with Imprecise Markov Reward Models

In recent years probabilistic model checking has become an important are...
research
01/13/2021

An Algebraic Method to Fidelity-based Model Checking over Quantum Markov Chains

Fidelity is one of the most widely used quantities in quantum informatio...
research
09/12/2014

A Formal Methods Approach to Pattern Synthesis in Reaction Diffusion Systems

We propose a technique to detect and generate patterns in a network of l...
research
01/12/2018

Efficient Probabilistic Model Checking of Smart Building Maintenance using Fault Maintenance Trees

Cyber-physical systems, like Smart Buildings and power plants, have to m...
research
10/31/2011

CTL Model Update for System Modifications

Model checking is a promising technology, which has been applied for ver...

Please sign up or login with your details

Forgot password? Click here to reset