Decision trees for regular factorial languages
نویسندگان
چکیده
In this paper, we study arbitrary regular factorial languages over a finite alphabet ?. For the set of words L(n) length n belonging to language L, investigate depth decision trees solving recognition and membership problems deterministically nondeterministically. case problem, for given word from L(n), should recognize it using queries each which, some i?{1,…,n}, returns ith letter word. ? n, if belongs same queries. problem type trees, instead minimum h(n) tree considered smoothed H(n)=max{h(m):m?n}. With growth is either bounded above by constant, or grows as logarithm, linearly. other cases (decision nondeterministically, nondeterministically), with constant As corollaries obtained results, joint behavior depths four describe five complexity classes languages. We also class {0,1} which one forbidden
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ژورنال
عنوان ژورنال: Array
سال: 2022
ISSN: ['2590-0056']
DOI: https://doi.org/10.1016/j.array.2022.100203