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 Britis
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