By Rice's Theorem, all nontrivial properties of the set of languages accepted by these objects are undecidable. They are 7-tuples that include a transition function that maps a state and input symbol pair to a triple consisting of a new state, a new symbol, and a direction. Modifications to these objects include multi-track and multi-tape versions. They can be visualized as a read/write head moving along an infinitely long input/output tape. They cannot decide the halting problem, but all computable functions can be computed by one according to
By Rice's Theorem, all nontrivial properties of the set of languages accepted by these objects are undecidable. They are 7-tuples that include a transition function that maps a state and input symbol pair to a triple consisting of a new state, a new symbol, and a direction. Modifications to these objects include multi-track and multi-tape versions. They can be visualized as a read/write head moving along an infinitely long input/output tape. They cannot decide the halting problem, but all computable functions can be computed by one according to a thesis co-named for Church. For 10 points, what are these theoretical machines named for a British mathematician and code-breaker?
By Rice's Theorem, all nontrivial properties of the set of languages accepted by these objects are undecidable.
Turing Machines