# Parameterized Compositional Model Checking

@inproceedings{Namjoshi2016ParameterizedCM, title={Parameterized Compositional Model Checking}, author={Kedar S. Namjoshi and Richard J. Trefler}, booktitle={TACAS}, year={2016} }

The Parameterized Compositional Model Checking Problem PCMCP is to decide, using compositional proofs, whether a property holds for every instance of a parameterized family of process networks. Compositional analysis focuses attention on the neighborhood structure of processes in the network family. For the verification of safety properties, the PCMCP is shown to be much more tractable than the more general Parameterized Model Checking Problem PMCP. For example, the PMCP is undecidable for ring…

## 15 Citations

### Symmetry Reduction and Compositional Verification on Timed Automata

- Computer Science
- 2017

A technique that incorporates automatic symmetry detection and symmetry reduction in the analysis of systems modeled by timed automata is described, and it is shown that verification is decidable in time polynomial in the state space of the cut-off instance.

### Verifying Mutable Systems

- Computer Science
- 2017

This work gives a formulation of dynamic model checking which extends traditional model checking by allowing structural changes, mutations, to the topology of multi-process network models, and relates dynamic models to compositional reasoning, dynamic cutoffs, parametrized analysis, and previously established parametric assertions.

### Parameterized verification under TSO is PSPACE-complete

- Computer ScienceProc. ACM Program. Lang.
- 2020

It is proved that the complexity of a system consisting of an arbitrary number of identical processes is PSPACE-complete and the complexity is reduced to polynomial time if the processes are not allowed to read the initial values of the variables in the memory.

### Study of Parameterized-Chain networks

- Computer ScienceArXiv
- 2016

This paper develops a dependency graph for analysis of Parameterized-Chain Networks (PCN) and shows that partial and total deadlocks of the proposed PCN are characterized by full, consistent subgraphs of the dependency graph.

### Local Reasoning for Parameterized First Order Protocols

- Computer ScienceNFM
- 2019

This work presents a framework based on FOL for specifying distributed multi-process protocols in a process-local manner together with an implicit network topology, and uses an oracle for the topology to develop a sound and relatively complete proof rule that reduces reasoning about the implicit topology back to pure FOL.

### Compositional Verification of Smart Contracts Through Communication Abstraction (Extended)

- Computer ScienceSAS
- 2021

This paper presents local bundles that reduce contracts with arbitrarily many users to sequential programs with a few representative users, and shows that local bundles are relatively complete for parameterized safety verification, under moderate assumptions.

### Analysis of Parameterized-Chain Networks: The Dependency Graph and Its Full, Consistent Subgraphs

- Mathematics
- 2016

This thesis studies algorithmic aspects of deadlock analysis for parameterized networks of discrete-event systems. A parameterized network consists of a finite, but arbitrarily large, number of…

### An Approach for Identifying and Analyzing Implicit Interactions in Distributed Systems

- Computer ScienceIEEE Transactions on Reliability
- 2017

The methods presented can help address the growing need for rigorous and practical methods and techniques for assuring the safe, secure, and reliable operation of distributed systems in critical domains.

### Verification and Synthesis of Responsive Symmetric Uni-Rings

- Computer ScienceIEEE Transactions on Software Engineering
- 2022

This paper investigates the verification and synthesis of parameterized protocols that satisfy leadsto properties on symmetric unidirectional rings (a.k.a. uni-rings) of deterministic, self-disabling and constant-space processes and demonstrates the decidability of synthesis based on necessary and sufficient conditions.

### Simplifying the Formal Verification of Safety Requirements in Zone Controllers Through Problem Frames and Constraint-Based Projection

- Computer ScienceIEEE Transactions on Intelligent Transportation Systems
- 2018

This paper aims to reduce the state space of formal verification problems in zone controller, a sub-system of a typical CBTC, by reducing the total number of device variables by proposing two projection methods based on problem frames and constraints.

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