Some Rough Consequence Logics and their Interrelations

This paper considers a number of alternative rough consequence logics which come in a natural way from the logics Lr and LR previously studied by Chakraborty and Banerjee. The systems have been compared to variants of S5, and the logic Triv of Hughes and Cresswell. A comparison has also been made with Lr and LR, and therefore with Jaskowski's discussive logic J, as J is equivalent to LR.