Multi-Core BDD Operations for Symbolic Reachability

نویسندگان

  • Tom van Dijk
  • Alfons Laarman
  • Jaco van de Pol
چکیده

This paper presents scalable parallel BDD operations for modern multi-core hardware. We aim at increasing the performance of reachability analysis in the context of model checking. Existing approaches focus on performing multiple independent BDD operations rather than parallelizing the BDD operations themselves. In the past, attempts at parallelizing BDD operations have been unsuccessful due to communication costs in shared memory. We solved this problem by extending an existing lockless hashtable to support BDDs and garbage collection and by implementing a lockless memoization table. Using these lockless hashtables and the work-stealing framework Wool, we implemented a multi-core BDD package called Sylvan. We provide the experimental results of using this multi-core BDD package in the framework of the model checker LTSmin. We measured the runtime of the reachability algorithm on several models from the BEEM model database on a 48-core machine, demonstrating speedups of over 30 for some models, which is a breakthrough compared to earlier work. In addition, we improved the standard symbolic reachability algorithm to use a modified BDD operation that calculates the relational product and the variable substitution in one step. We show that this new algorithm improves the performance of symbolic reachability and decreases the memory requirements by up to 40%.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Distributed Symbolic Reachability Analysis

Model checking is an important tool in program verification and software validation. Model checkers generally examine the entire state space of a model to find behaviour that differs from a given formal specification. Most temporal safety properties can be verified via reachability analysis. A major limitation is the state space explosion problem, which occurs when the state space does not fit ...

متن کامل

Sylvan: multi-core decision diagrams

Decision diagrams such as binary decision diagrams and multivalued decision diagrams play an important role in various fields, including symbolic model checking. An ongoing challenge is to develop datastructures and algorithms for modern multi-core architectures. The BDD package Sylvan provides one contribution by implementing parallelized BDD operations and thus allowing sequential algorithms ...

متن کامل

Symbolic Reachability Analysis Based on SAT-Solvers

In this report we present an implementation of a symbolic reachability analyzer, FIXIT, based on SAT-methods. The problem of reachability is to determine for a given transition system, whether a set of bad states is reachable from a set of initial states. We call our approach symbolic, as we use formulas to represent set of states. The representation includes the standard connectives AND, EQUIV...

متن کامل

A New Reachability Algorithm for Symmetric Multi-processor Architecture

Partitioned BDD-based algorithms have been proposed in the literature to solve the memory explosion problem in BDD-based verification. A naive parallelization of such algorithms is often ineffective as they have less parallelism. In this paper we present a novel parallel reachability approach that lead to a significantly faster verification on a Symmetric Multi-Processing architecture over the ...

متن کامل

BDD-Based Software Model Checking with CPAchecker

In symbolic software model checking, most approaches use predicates as symbolic representation of the state space, and SMT solvers for computations on the state space; BDDs are sometimes used as auxiliary data structure. The representation of software state spaces by BDDs was not yet thoroughly investigated, although BDDs are successful in hardware verification. The reason for this is that BDDs...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Electr. Notes Theor. Comput. Sci.

دوره 296  شماره 

صفحات  -

تاریخ انتشار 2013