Abstract | ||
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A language is dense if the set of all infixes (or subwords) of the language is the set of all words. Here, it is shown that it is decidable whether the language accepted by a nondeterministic Turing machine with a one-way read-only input and a reversal-bounded read/write worktape (the read/write head changes direction at most some fixed number of times) is dense. From this, it is implied that it is also decidable for one-way reversal-bounded queue automata, one-way reversal-bounded stack automata, and one-way reversal-bounded $k$-flip pushdown automata (machines that can flip their pushdowns up to $k$ times). However, it is undecidable for deterministic Turing machines with two 1-reversal-bounded worktapes (even when the two tapes are restricted to operate as 1-reversal-bounded pushdown stacks). |
Year | DOI | Venue |
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2018 | 10.25596/jalc-2018-189 | Journal of Automata, Languages and Combinatorics |
Field | DocType | Volume |
Discrete mathematics,Stack (abstract data type),Queue,Automaton,Decidability,Turing machine,Pushdown automaton,Non-deterministic Turing machine,Mathematics,Undecidable problem | Journal | 23 |
Issue | ISSN | Citations |
1-3 | Journal of Automata, Languages and Combinatorics, 23, 189-199,
2018 | 0 |
PageRank | References | Authors |
0.34 | 7 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Oscar H. Ibarra | 1 | 29 | 3.37 |
Ian McQuillan | 2 | 97 | 24.72 |