We study the state complexity of combined operations. Two particular combined operations are studied: star of union and star of intersection.

The state complexity of combined operations is studied. We show that the state complexity of a combined operation can be very different from the composition ...

Briefly speaking, for a combined operation on regular languages, the method first estimates the nondeterministic state complexity of the combined operation.

Jun 23, 2010 · In particular, we provide two witness combined operations: reversal combined with catenation and star combined with catenation. Comments: 20 ...

For each combined operation, we compare its state complexity with the composition of the state complexities of its individual operations. The results show that, ...

Feb 12, 2012 · We also include a brief survey that summarizes all state complexity results for combined operations with two basic operations. Keywords: state ...

We show that the state complexity of a combined operation can be very different from the composition of the state complexities of the participating individual ...

Those results show that the state complexity of a combined operation is in general very different from the composition of the state complexities of the ...

Abstract. In this paper, we study the state complexities of four combined operations: L*1 ∪ L2, L*1 ∩ L2, LR1 ∪ L2, and LR1 ∩ L2.

Oct 22, 2024 · The nondeterministic state complexity of an operation is the number of states that are necessary and sufficient in the worst-case for a minimal ...