On the power of deep pushdown stacks

Arratia-Quesada, A.; Stewart, I.A.

Abstract

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.

Citation

Arratia-Quesada, A., & Stewart, I. (2009). On the power of deep pushdown stacks. Acta Informatica, 46(7), 509-531. https://doi.org/10.1007/s00236-009-0103-x

• Journal Article Type: Article
• Publication Date: Nov 1, 2009
• Deposit Date: Dec 9, 2009
• Publicly Available Date: Jan 4, 2010
• Journal: Acta Informatica
• Print ISSN: 0001-5903
• Electronic ISSN: 1432-0525
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 46
• Issue: 7
• Pages: 509-531
• DOI: https://doi.org/10.1007/s00236-009-0103-x
• Keywords: Complexity theory, Program schemes, Stacks.