A semi-decidable theory allows for an algorithm to list all its theorems. However, it may not offer a way to…
A limitation result defines the boundaries of what can be achieved in a logical or mathematical system. It often signifies…
Hilbert's Entscheidungsproblem sought an algorithm to determine the truth of any mathematical statement. Alan Turing and Alonzo Church proved it…
An effectively decidable theory is a formal system where an algorithm can definitively prove any statement as either true or…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…