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On the power of deep pushdown stacks.

Arratia-Quesada, A. and Stewart, I. A. (2009) 'On the power of deep pushdown stacks.', Acta informatica., 46 (7). pp. 509-531.


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.

Item Type:Article
Keywords:Complexity theory, Program schemes, Stacks.
Full text:(AM) Accepted Manuscript
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Publisher statement:The original publication is available at
Date accepted:No date available
Date deposited:04 January 2010
Date of first online publication:November 2009
Date first made open access:No date available

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