3 papers
math.LO2024
On the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs without AC
Amitayu Banerjee, Alexa Gopaulsingh, Zalán Molnár
In set theory without the Axiom of Choice, we study the set-theoretic strength of a generalized version of the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs int…
cs.AI2016
On a Well-behaved Relational Generalisation of Rough Set Approximations
Alexa Gopaulsingh
We examine non-dual relational extensions of rough set approximations and find an extension which satisfies surprisingly many of the usual rough set properties. We then use this de…
cs.LO2016
Double Successive Rough Set Approximations
Alexa Gopaulsingh
We examine double successive approximations on a set, which we denote by where and are based on generally non-equivalent…