Towards a feature mu-calculus targeting SPL verification

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The modal μ-calculus μL is a well-known fixpoint logic to express and model check properties interpreted over labeled transition systems. In this paper, we propose two variants of the μ-calculus, μLf and μL?f, for feature transition systems. For this, we explicitly incorporate feature expressions into the logics, allowing operators to select transitions and behavior restricted to specific products and subfamilies. We provide semantics for μLf and μL?f and relate the two new μ-calculi and μL to each other. Next, we focus on the analysis of SPL behavior and show how our formalism can be applied for product-based verification with μLf as well as family-based verification with μL?f. We illustrate by means of a toy example how properties can be model checked, exploiting an embedding of μL?f into the μ-calculus with data.

Original languageEnglish
Pages (from-to)61-75
Number of pages15
JournalElectronic Proceedings in Theoretical Computer Science, EPTCS
Publication statusPublished - 28 Mar 2016
Event7th International Workshop on Formal Methods and Analysis in Software Product Line Engineering (FMSPLE’16) - Eindhoven, Netherlands
Duration: 3 Apr 20163 Apr 2016


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