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New Results on Register Automata

Talkat Symmetry, Logic, Computation 2016 · 2016-11-07..11-10
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slides:none on file

Shows concrete complexity and decidability boundaries for automata over infinite alphabets: emptiness reduces to a finite-alphabet reachability via an r+1 name restriction; nondeterministic inclusion and equivalence are undecidable but equivalence of deterministic register automata in P holds; bisimilarity for register automata is in NP (via symbolic partial-permutation generators); pushdown register automata have decidable reachability using a 3r bound for pushdown reduction and EXPTIME procedures, while bisimilarity becomes undecidable.

AI-written summary · about

  1. 0:00Start
  2. 13:37Decision problems
  3. 16:35Bisimilarity
  4. 20:31Group theory
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