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The complexity of monadic recursion schemes: exponential time bounds
<span title="">1984</span>
<i title="Elsevier BV">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p6ovb2qpkfenhmb7mcksobrcxq" style="color: black;">Journal of computer and system sciences (Print)</a>
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We study the computational complexity of decision problems for the class X of monadic recursion schemes. By the "executability problem" for a class 'r of monadic recursion schemes, we mean the problem of determining whether a given defined function symbol of a given scheme in .Y can be called during at least one computation. The executability problem for a class V of very simple monadic recursion schemes is shown to require deterministic exponential time. Using arguments about executability
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... lems and about the class Q, a number of decision problems for X and for several of X's subclasses are shown to require deterministic exponential time. Deterministic exponential time upper bounds are also presented for several of these decision problems. * A preliminary version of some of these results was presented at the
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