By Topic

Invariants, frames and postconditions: a comparison of the VDM and B notations

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Bicarregui, J. ; Dept. of Inf., Rutherford Appleton Lab., Chilton, UK ; Ritchie, B.

VDM and B are two “model-oriented” formal methods. Each gives a notation for the specification of systems as state machines in terms of a set of states with operations defined as relations on that set. Each has a notion of refinement of data and operations based on the principles of reduction of nondeterminism and increase in definedness. The paper makes a comparison of the two notations through an example of a communications protocol previously formalized by G. Bruns and S. Anderson (1994). Two abstractions and two reifications of the original specification are given. Particular attention is paid to three areas where the notations differ: the use of postconditions that assume the invariant as opposed to postconditions that enforce it; the explicit “framing” of operations as opposed to the “minimal frame” approach; and the use of relational postconditions as opposed to generalized substitutions

Published in:

Software Engineering, IEEE Transactions on  (Volume:21 ,  Issue: 2 )