T. Nagaya et al., INDEX REDUCTION OF OVERLAPPING STRONGLY SEQUENTIAL SYSTEMS, IEICE transactions on information and systems, E81D(5), 1998, pp. 419-426
Huet and Levy showed that index reduction is a normalizing strategy fo
r every orthogonal strongly sequential term rewriting system. Toyama e
xtended this result to root balanced joinable strongly sequential syst
ems. In this paper, we present a class including all root balanced joi
nable strongly sequential systems and show that index reduction is nor
malizing for this class. We also propose a class of left-linear (possi
bly overlapping) NV-sequential systems having a normalizing strategy.