Chomsky's Hierarchy of Languages

Chomsky's hierarchy categorizes languages based on their complexity and the types of machines that can recognize them. It has four levels: 1. **Type 3** (Regular languages): Simple patterns, like those found in basic programming languages. 2. **Type 2** (Context-free languages): More complex, where rules depend on surrounding symbols, like in nested structures. 3. **Type 1** (Context-sensitive languages): Rules that can change depending on context, allowing for richer expressions. 4. **Type 0** (Recursively enumerable languages): The most general, capable of expressing any computable function, but not all can be efficiently processed. This hierarchy helps us understand the capabilities and limitations of different computational models.