Polynomial Space

Polynomial space refers to the amount of memory a computational problem requires, which grows at most as a polynomial function of the input size. In other words, if the size of the input is \( n \), the memory needed is proportional to \( n^k \) for some constant \( k \). This concept helps categorize problems based on their memory use, with polynomial space suggesting that even for large inputs, the memory remains manageable and efficient compared to problems requiring exponential space, which can become infeasible as input size grows.