# Parallel symbolic state-space exploration is difficult, but what is the alternative?

@inproceedings{Ciardo2009ParallelSS, title={Parallel symbolic state-space exploration is difficult, but what is the alternative?}, author={Gianfranco Ciardo and Yang Zhao and Xiaoqing Jin}, booktitle={PDMC}, year={2009} }

State-space exploration is an essential first step in many modeling and analys is problems. Its goal is to find and store all the states reachable from the initial state(s) of a discre te-state high-level model described, for example, using pseudocode or Petri nets. The state space can then be used to answer important questions, such as “Is there a dead state?” and “Can variable n ever become negative?”, or as the starting point for sophisticated investigations expressed in temporal logic…

## 18 Citations

### Distributed Symbolic Reachability Analysis

- Computer Science
- 2015

An RDMA-based distributed hash table and private deque work stealing algorithms are designed and used to implement distributed BDD operations that scale efficiently along all processing units and memory connected via a high-performance network.

### Distributed binary decision diagrams for symbolic reachability

- Computer ScienceSPIN
- 2017

BDD-based reachability algorithms targeting compute clusters: high-performance networks of multi-core machines are contributed, allowing larger models to be processed while increasing performance by using all available computational power.

### Symbolic Model Checking with Partitioned BDDs in Distributed Systems

- Computer Science
- 2017

This work presents a design for multi-core distributed reachability analysis based on the model checking tool Sylvan and combines this with a BDD partitioning approach and tries to minimize communication between machines.

### Multi-Core OnThe-Fly Saturation

- Computer Science
- 2019

This work demonstrates for the first time that on-the-fly symbolic saturation can be successfully parallelized at a large scale, and implemented saturation in Sylvan’s multi-core decision diagrams used by the LTSmin model checker.

### Evaluating Machine-Independent Metrics for State-Space Exploration

- Computer Science2012 IEEE Fifth International Conference on Software Testing, Verification and Validation
- 2012

This study presents a study of the commonly used machine-independent metrics for two different exploration frameworks for Java by revisiting and extending a previous study and evaluating the correlation of the metrics with real time both on a single machine and on a high-performance cluster of machines.

### Sylvan: multi-core decision diagrams

- Computer ScienceTACAS
- 2015

This work implements parallel operations on list decision diagrams, a variant of multi-valued decision diagrams that is useful for symbolic model checking, andCombining parallel operations with parallelization on a higher level results in an improved speedup using the model checking toolset ltsmin.

### Simpler multi-threaded model checking via new foundations for implicit encodings C + + template metaprogramming rocks !

- Computer Science
- 2014

The novel library interface, defined through C++ metaprogramming, will allow the writing of C++ algorithm code in a significantly less cluttered style, while automatically generating code having the performance of existing hand-optimized DD code and the compactness of fully-identity-reduced DDs (FIDDs).

### Multi-core On-The-Fly Saturation

- Computer ScienceTACAS
- 2019

It is demonstrated for the first time that on-the-fly symbolic saturation can be successfully parallelized at a large scale in Sylvan’s multi-core decision diagrams used by the LTSmin model checker.

### ( Generalized Decision ) Diagrams supersede existing decision diagrams and are closed over { ∪ , ∩ , \ , ×

- Computer Science
- 2014

GDDs appear to have the compactness advantages of each of these encodings for those cases where the previous encoding had an advantage, and this research hopes to provide a basis for recommending the use of GDDs in practical model checking.

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