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Finiteness results on rewriting systems. (English) Zbl 0491.03015

MSC:

03D03 Thue and Post systems, etc.
03B25 Decidability of theories and sets of sentences
68Q45 Formal languages and automata
68Q65 Abstract data types; algebraic specification
03D05 Automata and formal grammars in connection with logical questions
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References:

[1] 1. N. BOURBAKI, Théorie des Ensembles, Chapt. III, § 6, No. 5, Hermann, Paris, 1963. MR154814 · Zbl 0125.00603
[2] 2. G. HUET, Confluent Reductions: Abstract Properties and Applications to Term Rewriting Systems, in Proceedings of the 18th annual I.E.E.E. Symposium on Fondations of Computer Science, October 1977. MR660480
[3] 3. G. HUET and D. S. LANKFORD, On the Uniform Halting Problem jor Term Rewriting Systems, Rapport de Recherche, No. 283, I.R.I.A., March 1978.
[4] 4. D. E. KNUTH and P. BENDIX, Simple Words Problems in Universal Algebras, in Computational Problems in Abstract Algebras, Ed., J. LEECH, Pergamon Press, 1970, pp. 263-297. Zbl0188.04902 MR255472 · Zbl 0188.04902
[5] 5. D. S. LANKFORD and A. M. BALLANTYNE, The Rejutation Completeness of Blocked Permutative Narrowing and Resolution (to appear).
[6] 6. J. C. RAOULT and J. VUILLEMIN, Operational and Denotational Equivalences Between Recursive Programs, Rapport de Recherche, No. 9, L.R.I., Orsay, June 1978. · Zbl 1282.68165
[7] 7. J. W. THATCHER and J. B. WRIGHT, Generalized Finite Automata Theory with an Application to a Decision Problem of Second Order Logic, Math. System Theory, Vol. 2, 1968, pp. 57-81. Zbl0157.02201 MR224476 · Zbl 0157.02201
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