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Questions about state machines with a single stack for memory. They characterize the class of context-free languages.
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Which class of languages is accepted by PDA when we restrict the stack to logarithmic size?
Let $\mathrm{LOG}_{\mathrm{CF}}$ be the class of all languages recognized by a Pushdown-automaton that uses $\leq \log n$ cells of its stack for each input of length $n$.
Obviously, this class is a p …