1

Prove or disprove or this statement:

The union of an infinite number of regular languages is regular.

Can someone help?

Yuval Filmus
  • 280,205
  • 27
  • 317
  • 514
codetime1
  • 19
  • 4

1 Answers1

3

Every language is a union of infinitely many regular languages: $$ L = \bigcup_{w \in L} \{w\}. $$

Yuval Filmus
  • 280,205
  • 27
  • 317
  • 514