We investigate the state complexity of union and intersection for finite languages. Note that the problem of obtaining the tight bounds for both operations was open. First we compute upper bounds using structural properties of minimal deterministic finite-state automata for finite languages. Then, we show that the upper bounds are tight if we have a variable sized alphabet that can depend on the size of input deterministic finite-state automata. In addition, we prove that the upper bounds are unreachable for any fixed sized alphabet.
|Number of pages||15|
|Journal||International Journal of Foundations of Computer Science|
|Publication status||Published - 2008 Jun|
All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)