Uncountable realtime probabilistic classes

We investigate the minimum cases for realtime probabilistic machines that can define uncountably many languages with bounded error. We show that logarithmic space is enough for realtime PTMs on unary languages. On binary case, we follow the same result for double logarithmic space, which is tight. When replacing the worktape with some limited memories, we can follow uncountable results on unary languages for two counters.Comment: 12 pages. Accepted to DCFS201

Descriptional Complexity of Formal Systems

The proceedings contain 24 papers. The special focus in this conference is on Descriptional Complexity of Formal Systems. The topics include: Sensing as a complexity measure; avoiding overlaps in pictures; on the degree of nondeterminism of tree adjoining languages and head grammar languages; on the average complexity of strong star normal form; most complex non-returning regular languages; uncountable realtime probabilistic classes; a parametrized analysis of algorithms on hierarchical graphs; graph-controlled insertion-deletion systems generating language classes beyond linearity; computational completeness of networks of evolutionary processors with elementary polarizations and a small number of processors; self-attraction removal from oritatami systems; one-time nondeterministic computations; branching measures and nearly acyclic NFAS; a pumping lemma for ordered restarting automata; concise representations of reversible automata; reset complexity of ideal languages over a binary alphabet; state complexity of suffix distance and the quotient operation on input driven pushdown automata