Question

If ≈L has finitely many equivalence classes then L is regular
true
false

Answer 1

If ≈L has finitely many equivalence classes, then L is regular.

Step-by-step explanation:

If the language ≈L has finitely many equivalence classes, then the language L is regular. In the context of formal languages, an equivalence class is a set of strings that are considered equivalent under a given relation. The fact that ≈L has finitely many equivalence classes implies that the language can be recognized by a deterministic finite automaton (DFA). DFAs can recognize regular languages, so if there are only finitely many equivalence classes, L must be regular.