Beyond Mixed Logics

In order to define some interesting consequence relations, certain generalizations have been proposed in a many-valued semantic setting that useful for defining what called pure, mixed and ordertheoretic relations. But these are insufficient capture other like intersective relations (a relation cannot be defined as relation, but only the intersection of two relations) or with conjunctive (or, better, “universal”) interpretation multiple conclusions. We propose broader framework cases, many others, set common background allows direct compared analysis. At end work, we illustrate comparisons