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Towards an Operational Semantics for Alloy

  • Theophilos Giannakopoulos
  • Daniel J. Dougherty
  • Kathi Fisler
  • Shriram Krishnamurthi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5850)

Abstract

The Alloy modeling language has a mathematically rigorous denotational semantics based on relational algebra. Alloy specifications often represent operations on a state, suggesting a transition-system semantics. Because Alloy does not intrinsically provide a notion of state, however, this interpretation is only implicit in the relational-algebra semantics underlying the Alloy Analyzer.

In this paper we demonstrate the subtlety of representing state in Alloy specifications. We formalize a natural notion of transition semantics for state-based specifications and show examples of specifications in this class for which analysis based on relational algebra can induce false confidence in designs. We characterize the class of facts that guarantees that Alloy’s analysis is sound for state-transition systems, and offer a sufficient syntactic condition for membership in this class. We offer some practical evaluation of the utility of this syntactic discipline and show how it provides a foundation for program synthesis from Alloy.

Keywords

Transition System Relational Semantic Operational Semantic Relational Algebra Cache Line 
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

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Theophilos Giannakopoulos
    • 1
  • Daniel J. Dougherty
    • 1
  • Kathi Fisler
    • 1
  • Shriram Krishnamurthi
    • 2
  1. 1.Department of Computer ScienceWPI 
  2. 2.Computer Science DepartmentBrown University 

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