Complex sentence: All the systems mentioned so far, with the exception of the untyped lambda calculus, are "strongly normalizing"; that is all computations terminate and as a consequence they are consistent as a logic, i.e. there are uninhabited types.
Split into simpler sentences: All the systems mentioned so far, with the exception of the untyped lambda calculus, are "strongly normalizing": all computations terminate. As a consequence they are consistent as a logic, i.e. there are uninhabited types.