Inspired by recent work of Meduna on deep pushdown automata, we consider the computational power of a class of basic program schemes, NPSDSs, based around assignments, while-loops and non-deterministic guessing but with access
to a deep pushdown stack which, apart from having the usual push and pop instructions, also has deep-push instructions which allow elements to be pushed to stack locations deep within the stack. We syntactically define sub-classes of NPSDSs by restricting the occurrences of pops, pushes and deep-pushes and capture the complexity classes NP and PSPACE. Furthermore, we show that all problems accepted by program schemes of NPSDSs are in EXPTIME.
The original publication is available at http://www.springerlink.com/content/y46h6501746506p0/fulltext.pdf
CitationArratia, A.; Stewart, I. On the power of deep pushdown stacks. "Acta informatica", Novembre 2009, vol. 46, núm. 7, p. 509-531.
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