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Formal Aspects of Computing

, Volume 28, Issue 2, pp 233–263 | Cite as

Active learning for extended finite state machines

  • Sofia CasselEmail author
  • Falk Howar
  • Bengt Jonsson
  • Bernhard Steffen
Original Article

Abstract

We present a black-box active learning algorithm for inferring extended finite state machines (EFSM)s by dynamic black-box analysis. EFSMs can be used to model both data flow and control behavior of software and hardware components. Different dialects of EFSMs are widely used in tools for model-based software development, verification, and testing. Our algorithm infers a class of EFSMs called register automata. Register automata have a finite control structure, extended with variables (registers), assignments, and guards. Our algorithm is parameterized on a particular theory, i.e., a set of operations and tests on the data domain that can be used in guards.

Key to our learning technique is a novel learning model based on so-called tree queries. The learning algorithm uses tree queries to infer symbolic data constraints on parameters, e.g., sequence numbers, time stamps, identifiers, or even simple arithmetic. We describe sufficient conditions for the properties that the symbolic constraints provided by a tree query in general must have to be usable in our learning model. We also show that, under these conditions, our framework induces a generalization of the classical Nerode equivalence and canonical automata construction to the symbolic setting. We have evaluated our algorithm in a black-box scenario, where tree queries are realized through (black-box) testing. Our case studies include connection establishment in TCP and a priority queue from the Java Class Library.

Keywords

Priority Queue Symbolic Execution Automaton Learning Data Language Membership Query 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© British Computer Society 2016

Authors and Affiliations

  • Sofia Cassel
    • 1
    Email author
  • Falk Howar
    • 2
  • Bengt Jonsson
    • 1
  • Bernhard Steffen
    • 3
  1. 1.Department of Information TechnologyUppsala UniversityUppsalaSweden
  2. 2.IPSSE, TU ClausthalClausthal-ZellerfeldGermany
  3. 3.Chair for Programming SystemsTU DortmundDortmundGermany

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