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universality_automata (854B)


      1 # Automaton universality
      2 
      3 The [computational_problem] of testing if an [automaton] accepts every possible [word]
      4 
      5 - [universality_automata_nondeterministic]:
      6   - [PSPACE_complete], and [coNP_complete] for [unary_alphabet]
      7   - [universality_automata_upwards_closed]
      8   - [universality_automata_downwards_closed]
      9   - [universality_k_unambiguous]
     10 - [universality_automata_deterministic]: [ptime]
     11 - [universality_context_free_grammar]
     12   - [universality_automata_pushdown]
     13 
     14 - [factor_universal]
     15 - [subword_universal]
     16 
     17 Variant: [length_universality_automata]
     18 
     19 Generalization: [automaton_inclusion], [automaton_equivalence]
     20 
     21 Up: [universality_problem], [automata_problems]
     22 
     23 See also: [totality], [validity], [taulology], [automaton_emptiness]
     24 
     25 Aliases: automata universality, automaton universality, universality automata problem, automaton universality problem