arXiv Open Access 2009

On Pebble Automata for Data Languages with Decidable Emptiness Problem

Tony Tan
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Abstrak

In this paper we study a subclass of pebble automata (PA) for data languages for which the emptiness problem is decidable. Namely, we introduce the so-called top view weak PA. Roughly speaking, top view weak PA are weak PA where the equality test is performed only between the data values seen by the two most recently placed pebbles. The emptiness problem for this model is decidable. We also show that it is robust: alternating, nondeterministic and deterministic top view weak PA have the same recognition power. Moreover, this model is strong enough to accept all data languages expressible in Linear Temporal Logic with the future-time operators, augmented with one register freeze quantifier.

Topik & Kata Kunci

Penulis (1)

T

Tony Tan

Format Sitasi

Tan, T. (2009). On Pebble Automata for Data Languages with Decidable Emptiness Problem. https://arxiv.org/abs/0910.5844

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2009
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓