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# Program schemes with deep pushdown storage.

Arratia-Quesada, A. and Stewart, I. A. (2008) 'Program schemes with deep pushdown storage.', in Logic and theory of algorithms. Berlin: Springer, pp. 11-21. Lecture notes in computer science. (5028).

## Abstract

Inspired by recent work of Meduna on deep pushdown automata, we consider the computational power of a class of basic program schemes, $\mbox{NPSDS}_s$, 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 $\mbox{NPSDS}_s$ by restricting the occurrences of pops, pushes and deep-pushes and capture the complexity classes {\bf NP} and {\bf PSPACE}. Furthermore, we show that all problems accepted by program schemes of $\mbox{NPSDS}_s$ are in {\bf EXPTIME}.

Item Type: Book chapter Models of computation, Program schemes, Complexity classes. PDF - Accepted Version (224Kb) Peer-reviewed http://dx.doi.org/10.1007/978-3-540-69407-6_2 02 Jul 2009 14:50 11 Nov 2011 09:59

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