## Section: Application Domains

### B-set theory

Set theory appears to be an appropriate
theory for automated theorem provers based on Deduction modulo, in
particular the several extensions of *Zenon* (*Super Zenon* and
*Zenon Modulo*). Modeling techniques using set theory are therefore good
candidates to assess these tools. This is what we have done with the
*B* method whose formalism relies on set theory. A collaboration
with *Siemens* has been developed
to automatically verify the *B*
proof rules of *Atelier B* [42] . From this work
presented in the Doctoral dissertation of Mélanie Jacquel,
the
*Super Zenon*
tool [13] [35] has been designed
in order to be able to reason modulo the *B* set theory. As a sequel of
this work, we contribute to the *BWare* project whose aim is to provide a
mechanized framework to support the automated verification of *B*
proof obligations coming from the development of industrial
applications. In this context, we have recently designed
*Zenon Modulo* [33] , [34]
(Pierre Halmagrand's PhD thesis, which has started on October 2013) to
deal with the *B* set theory. In this work, the idea is to
manually transform the *B* set theory into a theory modulo and
provide it to *Zenon Modulo* in order to verify the proof obligations of the
*BWare* project.