Question

Give an example of an NL-complete context-free language.

Short answer

DFA is NL-complete because it recognises the language of finite states. NL-complete is a complexity class containing the languages that are complete for NL, the class of decision problems that can be solved by a non deterministic turing machine using a logarithmic amount of memory space.

Step-by-step solution

NL complete

NL-complete is a complexity class in computational complexity theory that includes all languages that are complete for NL, a class of decision problems that can be handled by a nondeterministic Turing machine with a logarithmic amount of memory space.

Context free language

A context-free language (CFL) is one that is produced by a context-free grammar (CFG). Context-free languages have a wide range of uses in computer languages; for example, context-free grammars create the majority of arithmetic expressions.

Example of context free language with NL complete

$E_{DFA}$is a complete example of NL, which is a context-free language. It's a regular language, too. The complexity of the task is referred to as a function of the input size.