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Software Model Checking via Large-Block Encoding

Published 29 Apr 2009 in cs.SE and cs.PL | (0904.4709v1)

Abstract: The construction and analysis of an abstract reachability tree (ART) are the basis for a successful method for software verification. The ART represents unwindings of the control-flow graph of the program. Traditionally, a transition of the ART represents a single block of the program, and therefore, we call this approach single-block encoding (SBE). SBE may result in a huge number of program paths to be explored, which constitutes a fundamental source of inefficiency. We propose a generalization of the approach, in which transitions of the ART represent larger portions of the program; we call this approach large-block encoding (LBE). LBE may reduce the number of paths to be explored up to exponentially. Within this framework, we also investigate symbolic representations: for representing abstract states, in addition to conjunctions as used in SBE, we investigate the use of arbitrary Boolean formulas; for computing abstract-successor states, in addition to Cartesian predicate abstraction as used in SBE, we investigate the use of Boolean predicate abstraction. The new encoding leverages the efficiency of state-of-the-art SMT solvers, which can symbolically compute abstract large-block successors. Our experiments on benchmark C programs show that the large-block encoding outperforms the single-block encoding.

Citations (173)

Summary

Overview of Large-Block Encoding in Software Model Checking

The paper "Software Model Checking via Large-Block Encoding" by Dirk Beyer et al. introduces an innovative approach to software model checking aimed at addressing inefficiencies inherent in traditional methods. At the heart of this work is the concept of large-block encoding (LBE) as a generalization of traditional single-block encoding (SBE). This approach promises to substantially reduce the plethora of paths navigated in constructing an abstract reachability tree (ART) during software verification operations.

Key Findings and Contributions

The conventional technique, SBE, is proven to be inefficient due to the immense number of ART paths generated from individual program blocks. Consequently, this method can lead to excessive computational overhead, which handicaps scalability. The proposed LBE method revolutionizes this process by representing more extensive program segments within ART transitions, potentially resulting in an exponential decline in paths to be explored.

A notable aspect of LBE is its reliance on satisfiability modulo theories (SMT) solvers to enhance symbolic computations. These solvers proficiently handle Boolean formulas and compute abstract successors within program sections, showcasing improvements over Cartesian predicate abstractions traditionally used in SBE. The paper reports experimental results from benchmark C programs illustrating that LBE outstrips SBE in performance.

Detailed Insights

LBE broadens the representation of abstract states by accommodating arbitrary Boolean combinations of predicates rather than mere conjunctions, as observed in SBE. This demands a robust abstraction mechanism empowered by Boolean predicate abstraction, which although computationally demanding, offers precise results for successor calculations.

The comparison within the field of experimental configurations reveals that LBE dramatically improves runtime and scalability across varied benchmark programs, including those notorious for causing exponential blowups in ART size when evaluated under SBE or traditional tools like BLAST.

Implications and Future Directions

The research elucidates the potential LBE holds for practical applications, particularly in large-scale industrial settings where software model checking is crucial but often hindered by conventional methods' inefficiencies. The results substantiate LBE's capability to trade off numerous explicit enumerations of program paths with more efficient symbolic computations without sacrificing verification accuracy.

Future work could explore adjusting the granularity of large blocks dynamically, thereby fine-tuning the complexity handled by SMT solvers. Exploring other abstraction techniques that might balance precision and computational expense more effectively is another promising direction for this research. There is also intriguing potential in integrating LBE with interpolation-based lazy abstraction strategies, propelling advancements in software verification technology even further.

In summary, the paper presents a compelling argument and substantial empirical evidence supporting the superiority of large-block encoding in software model checking, marking an important step forward in the quest for efficient and scalable software verification methods.

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