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arXiv · 2106.03852

Generalized Circular One-Way Jumping Finite Automata

Ujjwal Kumar Mishra·Kalpana Mahalingam·Rama Raghavan
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Abstract

A discontinuous model of computation called one-way jumping finite automata was defined by H. Chigahara et. al. This model was a restricted version of the model jumping finite automata. One-way jumping finite automata change their states after deleting a letter of an input and jump only in one direction. Allowing a state to delete a subword instead of a letter, we define a new model generalized circular one-way jumping finite automata. These automata work on an input in a circular manner. Similar to one-way jumping finite automata, generalized circular one-way jumping finite automata also jump only in one direction. We show that this newly defined model is powerful than one-way jumping finite automata. We define new variants(right and left) of the model generalized circular one-way jumping finite automata and compare them. We also compare the newly defined model with Chomsky hierarchy. Finally, we explore closure properties of the model.

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Ujjwal Kumar Mishra, Kalpana Mahalingam, Rama Raghavan. 2021-06-05. Generalized Circular One-Way Jumping Finite Automata. https://arxiv.org/abs/2106.03852

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