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Characterizing PSPACE with pointers

2008; Wiley; Volume: 54; Issue: 3 Linguagem: Inglês

10.1002/malq.200610056

1521-3870

Isabel Oitavem,

Cellular Automata and Applications

Abstract This paper gives an implicit characterization of the class of functions computable in polynomial space by deterministic Turing machines – PSPACE. It gives an inductive characterization of PSPACE with no ad‐hoc initial functions and with only one recursion scheme. The main novelty of this characterization is the use of pointers (also called path information) to reach PSPACE. The presence of the pointers in the recursion on notation scheme is the main difference between this characterization of PSPACE and the well‐known Bellantoni‐Cook characterization of the polytime functions – PTIME. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)