2012Unpublished venueOpen access

Simulation-based abstractions for software product-line model checking

Maxime Cordy, Andreas Claßen, Gilles Perrouin, Pierre‐Yves Schobbens, Patrick Heymans, Axel Legay

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Abstract

Software Product Line (SPL) engineering is a software engineering paradigm that exploits the commonality between similar software products to reduce life cycle costs and time-to-market. Many SPLs are critical and would benefit from efficient verification through model checking. Model checking SPLs is more difficult than for single systems, since the number of different products is potentially huge. In previous work, we introduced Featured Transition Systems (FTS), a formal, compact representation of SPL behaviour, and provided efficient algorithms to verify FTS. Yet, we still face the state explosion problem, like any model checking-based verification. Model abstraction is the most relevant answer to state explosion. In this paper, we define a novel simulation relation for FTS and provide an algorithm to compute it. We extend well-known simulation preservation properties to FTS and thus lay the theoretical foundations for abstraction-based model checking of SPLs. We evaluate our approach by comparing the cost of FTS-based simulation and abstraction with respect to product-by-product methods. Our results show that FTS are a solid foundation for simulation-based model checking of SPL.

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What this paper is about

Software Product Line (SPL) engineering is a software engineering paradigm that exploits the commonality between similar software products to reduce life cycle costs and time-to-market. Many SPLs are critical and would benefit from efficient verification through model checking. Model checking SPLs is more difficult than for single systems, since the number of different products is potentially huge. In previous work, we introduced Featured Transition Systems (FTS), a formal, compact representation of SPL behaviour, and provided efficient algorithms to verify FTS. Yet, we still face the state explosion problem, like any model checking-based verification. Model abstraction is the most relevant answer to state explosion. In this paper, we define a novel simulation relation for FTS and provide an algorithm to compute it. We extend well-known simulation preservation properties to FTS and thus lay the theoretical foundations for abstraction-based model checking of SPLs. We evaluate our approach by comparing the cost of FTS-based simulation and abstraction with respect to product-by-product methods. Our results show that FTS are a solid foundation for simulation-based model checking of SPL.

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Available abstract

Software Product Line (SPL) engineering is a software engineering paradigm that exploits the commonality between similar software products to reduce life cycle costs and time-to-market. Many SPLs are critical and would benefit from efficient verification through model checking. Model checking SPLs is more difficult than for single systems, since the number of different products is potentially huge. In previous work, we introduced Featured Transition Systems (FTS), a formal, compact representation of SPL behaviour, and provided efficient algorithms to verify FTS. Yet, we still face the state explosion problem, like any model checking-based verification. Model abstraction is the most relevant answer to state explosion. In this paper, we define a novel simulation relation for FTS and provide an algorithm to compute it. We extend well-known simulation preservation properties to FTS and thus lay the theoretical foundations for abstraction-based model checking of SPLs. We evaluate our approach by comparing the cost of FTS-based simulation and abstraction with respect to product-by-product methods. Our results show that FTS are a solid foundation for simulation-based model checking of SPL.

Key concepts: Computer science, Model checking, Software product line, Abstraction, Product (mathematics), Abstraction model checking, Formal verification, Software

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