  A reformulation of general relativity inspired by the
Belinski-Khalatnikov-Lifshitz conjecture had been introduced by Ashtekar,
Henderson and Sloan which is based on variables closely related to the basic
variables of loop quantum gravity, thereby providing a way of classically
analyzing singularities that may be carried over to the quantum theory. It is
reasonable to expect that these variables are regular at generic spacelike
singularities. This has been shown on various examples -- particularly,
cosmological spacetimes. In this study we extend this analysis to the
singularities of gravitational wave collision spacetimes, which are the result
of the mutual focusing of the two waves. We focus on two specific examples and
explicitly confirm that the said variables are regular at the singularity and
can be smoothly continued beyond it.
