Abstract
The emptiness problem for stack automata is shown decidable by reducing that problem to a solvable decision problem for the predicate calculus. Similar decision procedures are outlined for classes of weaker automata.
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This research has been supported in part by NSF Grant GJ-30409, by the Center for Research in Computing Technology, Division of Engineering and Applied Physics, Harvard University, and by fellowships from the National Science Foundation and the International Business Machines Corporation.
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Lewis, H.R. Description of restricted automata by first-order formulae. Math. Systems Theory 9, 97–104 (1975). https://doi.org/10.1007/BF01698129
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DOI: https://doi.org/10.1007/BF01698129