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rational_relation_deterministic (844B)


      1 # Deterministic rational relation
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      3 Special case: [automatic_relation]
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      5 Generalization: [rational_relation]
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      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]
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      9 Must also add a fresh padding symbol to the right of words
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     11 The [emptiness_problem] on the [intersections] of two dynamic rational relations is [undecidable] by reduction from [PCP], cf [morvan2025homomorphism] p209
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     13 The [inclusion_problem] for [deterministic_multitape_automata] is [undecidable] but the [automaton_equivalence_problem] is [decidable], cf [morvan2025homomorphism] p209
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     16 Up: [rational_relation], [determinism]
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     18 Aliases: deterministic rational relation, deterministic rational relations