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Independent instances for some undecidable problems. (English) Zbl 0517.03022


MSC:

03F25 Relative consistency and interpretations
03F99 Proof theory and constructive mathematics
03D99 Computability and recursion theory
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References:

[1] 1. M. DAVIS, YU. MATIJASEVIČ and J. ROBINSON, Hilbert’s Tenth Problem. Diophantine Equations : Positive Aspects of a Negative Solution, Proc. Symposia Pure Math., vol. 28, 1976, p. 223-378. Zbl0346.02026 MR432534 · Zbl 0346.02026
[2] 2. S. GREIBACH and J. HOPCROFT, Scattered Context Grammars, J. Comput. Systems Sci., vol. 3, 1969, p. 233-247. Zbl0174.02801 MR246727 · Zbl 0174.02801
[3] 3. J. HARTMANIS and J. HOPCROFT, Independence Results in Computer Science, ACM SIGACT News, vol. 8, 1976, p. 13-24.
[4] 4. Yu. MATIJASEVIC, Enumerable Sets Are Diophantine. Dokl. Akad. Nauk SSSR, vol. 191, 1970, p. 279-282. Zbl0212.33401 MR258744 · Zbl 0212.33401
[5] 5. H. A. MAURER, Simple Matrix Languages with a Leftmost Restriction, Inform. Control, vol., 23, 1973, p. 128-139. Zbl0261.68037 MR388868 · Zbl 0261.68037
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[7] 7. E. POST, A Variant of a Recursively Unsolvable Problem, Bull. AMS, vol. 52, 1946, p. 264-268. Zbl0063.06329 MR15343 · Zbl 0063.06329
[8] 8. H. Jr. ROGERS, Theory of Recursive Functions and Effective Computability, McGraw-Hill, New York, 1967. Zbl0183.01401 MR224462 · Zbl 0183.01401
[9] 9. D. ROSENKRANTZ, Programmed Grammars and Classes of Formal Languages, J. of ACM, vol. 16, 1969, p. 107-131. Zbl0182.02004 MR235940 · Zbl 0182.02004
[10] 10. A. SALOMAA, Formal Languages, Academic Press, New York, London, 1973. Zbl0262.68025 MR438755 · Zbl 0262.68025
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