  Since John S. Bell demonstrated the interest of studying linear combinations
of probabilities in relation with the EPR paradox in 1964, Bell inequalities
have lead to numerous developments. Unfortunately, the description of Bell
inequalities is subject to several degeneracies, which make any exchange of
information about them unnecessarily hard. Here, we analyze these degeneracies
and propose a decomposition for Bell-like inequalities based on a set of
reference expressions which is not affected by them. These reference
expressions set a common ground for comparing Bell inequalities. We provide
algorithms based on finite group theory to compute this decomposition.
Implementing these algorithms allows us to set up a compendium of reference
Bell-like inequalities, available online at http://www.faacets.com . This
website constitutes a platform where registered Bell-like inequalities can be
explored, new inequalities can be compared to previously-known ones and
relevant information on Bell inequalities can be added in a collaborative
manner.
