 Blum's speedup theorem

Blum's speedup theorem is a result in the field of computational complexity theory, specifically dealing with the relationship between the time complexity of algorithms and the computation of functions. Formulated by Manuel Blum in the 1960s, the theorem essentially asserts that if a certain function can be computed by a deterministic Turing machine within a certain time bound, then there exists an alternative algorithm (or Turing machine) that computes the same function more quickly.