arXiv Open Access 2024

Operational State Complexity of Block Languages

Guilherme Duarte Nelma Moreira Luca Prigioniero Rogério Reis
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Abstrak

In this paper we consider block languages, namely sets of words having the same length, and study the deterministic and nondeterministic state complexity of several operations on these languages. Being a subclass of finite languages, the upper bounds of operational state complexity known for finite languages apply for block languages as well. However, in several cases, smaller values were found. Block languages can be represented as bitmaps, which are a good tool to study their minimal finite automata and their operations, as we illustrate here.

Topik & Kata Kunci

Penulis (4)

G

Guilherme Duarte

N

Nelma Moreira

L

Luca Prigioniero

R

Rogério Reis

Format Sitasi

Duarte, G., Moreira, N., Prigioniero, L., Reis, R. (2024). Operational State Complexity of Block Languages. https://arxiv.org/abs/2409.06970

Akses Cepat

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Informasi Jurnal
Tahun Terbit
2024
Bahasa
en
Sumber Database
arXiv
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Open Access ✓