Journalartikel

On the power of pushing or stationary moves for input-driven pushdown automata


AutorenlisteKutrib, Martin; Malcher, Andreas; Wendlandt, Matthias

Jahr der Veröffentlichung2024

ZeitschriftTheoretical Computer Science

Bandnummer996

ISSN0304-3975

eISSN1879-2294

Open Access StatusHybrid

DOI Linkhttps://doi.org/10.1016/j.tcs.2024.114503

VerlagElsevier


Abstract
Input -driven pushdown automata (IDPDAs) are pushdown automata where the next action on the pushdown store (push, pop, nothing) is solely governed by the input symbol. Nowadays such devices are usually defined such that every push operation pushes exactly one additional symbol on the pushdown store and, in addition, stationary moves are not allowed so that the devices work in real time. Here, we relax this strong definition and consider IDPDAs that may push more than one symbol in one step (push-IDPDA) or may perform stationary moves (stat-IDPDA). We study the computational power of the extended variants both in the deterministic and nondeterministic case, we investigate several decidability questions for the new automata classes, and we obtain interesting representations by inverse homomorphisms. Namely, every (1) deterministic, (2) realtime deterministic, and (3) nondeterministic context -free language can be characterized as the inverse homomorphic image of a language accepted by a (1) stat-IDPDA, (2) push-IDPDA, and (3) nondeterministic push-IDPDA.



Zitierstile

Harvard-ZitierstilKutrib, M., Malcher, A. and Wendlandt, M. (2024) On the power of pushing or stationary moves for input-driven pushdown automata, Theoretical Computer Science, 996, Article 114503. https://doi.org/10.1016/j.tcs.2024.114503

APA-ZitierstilKutrib, M., Malcher, A., & Wendlandt, M. (2024). On the power of pushing or stationary moves for input-driven pushdown automata. Theoretical Computer Science. 996, Article 114503. https://doi.org/10.1016/j.tcs.2024.114503



Schlagwörter


Computational CapacityDecidability QuestionsDeterministic pushdown automataInput-driven pushdown automataRepresentation by inverse homomorphism


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