In computability theory, the halting problem is a decision problem which can be stated as follows:
Given a description of a program and a finite input, decide whether the program finishes running or will run forever, given that input.
Alan Turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist. We say that the halting problem is undecidable over Turing machines. Copeland (2004) attributes the actual term halting problem to Martin Davis.
Reference;
http://en.wikipedia.org/wiki/Halt_problem
