rational_relation_deterministic (844B)
1 # Deterministic rational relation 2 3 Special case: [automatic_relation] 4 5 Generalization: [rational_relation] 6 7 The [rational_relations] recognized by a [multitape_automaton] which is [deterministic_automaton] and where, on every state, we know precisely which set of [heads] will move. This can be called a [deterministic_multitape_automaton] 8 9 Must also add a fresh padding symbol to the right of words 10 11 The [emptiness_problem] on the [intersections] of two dynamic rational relations is [undecidable] by reduction from [PCP], cf [morvan2025homomorphism] p209 12 13 The [inclusion_problem] for [deterministic_multitape_automata] is [undecidable] but the [automaton_equivalence_problem] is [decidable], cf [morvan2025homomorphism] p209 14 15 16 Up: [rational_relation], [determinism] 17 18 Aliases: deterministic rational relation, deterministic rational relations