Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It avoids non-constructive proofs, like those relying on the…
Complexity theory investigates the inherent difficulty of computational problems. It analyzes the resources, like time and memory, required to find…
The Church-Turing thesis posits that any function computable by a human can be computed by a Turing machine. It defines…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…