N. Globerman et D. Harel, COMPLEXITY RESULTS FOR 2-WAY AND MULTI-PEBBLE AUTOMATA AND THEIR LOGICS, Theoretical computer science, 169(2), 1996, pp. 161-184
Citations number
22
Categorie Soggetti
Computer Sciences","Computer Science Theory & Methods
Two-way and multi-pebble automata are considered (the latter appropria
tely restricted to accept only regular languages), and enriched with a
dditional features, such as nondeterminism and concurrency. We investi
gate the succinctness of such machines, and the extent to which this s
uccinctness carries over to make the reasoning problem in propositiona
l dynamic logic more difficult. The two main results establish that ea
ch additional pebble provides inherent exponential power on both front
s.