Event-B is an industrial-strength specification language for verifying
the properties of a given system’s specification. It is supported by its
Eclipse-based IDE, Rodin, and uses the process of refinement to model
systems at different levels of abstraction. Although a mature formalism,
Event-B has a number of limitations. In this thesis, we demonstrate that
Event-B lacks formally defined modularisation constructs. Additionally,
interoperability between Event-B and other formalisms has been
achieved in an ad hoc manner. Moreover, although a formal language,
Event-B does not have a formal semantics. We address each of these
limitations in this thesis using the theory of institutions.
The theory of institutions provides a category-theoretic way of representing
a formalism. Formalisms that have been represented as institutions
gain access to an array of generic specification-building operators
that can be used to modularise specifications in a formalismindependent
manner. In the theory of institutions, there are constructs
(known as institution (co)morphisms) that provide us with the facility to
create interoperability between formalisms in a mathematically sound
way.
The main contribution of this thesis is the definition of an institution
for Event-B, EVT, which allows us to address its identified limitations.
To this end, we formally define a translational semantics from Event-
B to EVT. We show how specification-building operators can provide
a unified set of modularisation constructs for Event-B. In fact, the institutional
framework that we have incorporated Event-B into is more
accommodating to modularisation than the current state-of-the-art for
Rodin. Furthermore, we present institution morphisms that facilitate interoperability between the respective institutions for Event-B and UML.
This approach is more generic than the current approach to interoperability
for Event-B and in fact, allows access to any formalism or logic
that has already been defined as an institution. Finally, by defining
EVT, we have outlined the steps required in order to include similar
formalisms into the institutional framework. Hence, this thesis acts as a
template for defining an institution for a specification language
