Turing computability

Turing computability refers to whether a problem can be solved by a theoretical machine, called a Turing machine, which manipulates symbols based on predetermined rules. If the machine can, with unlimited time and memory, process an input and produce a correct output for the problem, the problem is considered "computable." This concept helps define the limits of what computers can solve. Some problems are Turing computable, while others are not, meaning no algorithm can solve them in all cases. It forms a fundamental idea in understanding the power and boundaries of computation.