Automata Theory Questions
The role of linear-bounded automata in automata theory is to model and study the computational capabilities of machines with a limited amount of memory. Unlike finite automata, which have a fixed amount of memory, linear-bounded automata have a memory tape that can grow or shrink linearly with the input size. This allows them to recognize and process languages that cannot be handled by finite automata, such as context-sensitive languages. Linear-bounded automata are an important class of automata that help in understanding the complexity and power of computation.