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Undecidability of ground reducibility for word rewriting systems with variables. (English) Zbl 0998.68529

##### MSC:
 68Q42 Grammars and rewriting systems
Full Text:
##### References:
 [1] Book, R.V., Thue systems as rewriting systems, J. symbolic comput., 3, 1&2, 39-68, (1987) · Zbl 0638.68091 [2] Jiang, T.; Salomaa, A.; Salomaa, K.; Yu, S., Inclusion is undecidable for pattern languages, (), 301-312 · Zbl 1422.68152 [3] Kapur, D.; Narendran, P.; Rosenkrantz, D.; Zhang, H., Sufficient-completeness, quasi-reducibility and their complexity, () · Zbl 0721.68032 [4] Kapur, D.; Narendran, P.; Zhang, H., On sufficient completeness and related properties of term rewriting systems, Acta inform., 24, 395-415, (1987) · Zbl 0594.68035 [5] Marchenko, S.S., Undecidability of the positive ∀∃-theory of a free semigroup, Sibirskii matematicheskii zhurnal, 23, 1, 196-198, (1982), in Russian · Zbl 0578.03024 [6] Minsky, M.L., Recursive unsolvability of Post’s problem of “tag” and other topics in theory of Turing machines, Ann. of math., 74, 3, 437-455, (1961) · Zbl 0105.00802 [7] Plaisted, D., Semantic confluence tests and completion methods, Inform. and control, 65, 182-215, (1985) · Zbl 0598.68058 [8] Salomaa, A., Pattern languages: problems of decidability and generation, (), 121-132 · Zbl 0794.68089
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