  Ivlev's pioneering work started in the 1970's showed a new and promissory way
in the study of modal logic from the perspective of many-valued logics.
Continuing our previous work on Ivlev-like non-normal modal logics with
non-deterministic semantics, we present in this paper tableau systems for Tm,
S4m and S5m, the non-normal versions of T, S4 and S5, respectively, as well as
for their corresponding first-order extensions Tm*, S4m* and S5m*.
