In this paper we explore the snail lemma in a pointed regular category. In particular, we show that under the presence of cokernels of kernels, the validity of the snail lemma is equivalent to subtractivity of the category. As a corollary, this gives that in the more restrictive context of a normal category the validity of the snail lemma is equivalent to the validity of the snake lemma.
Vitale, E., & et al. (2017). The snail lemma in a pointed regular category. Journal of Pure and Applied Algebra, 221(1), 135-143. https://hdl.handle.net/2078.5/54300 (Original work published 2017)