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Semantical completeness theorems in logic and algebra. (English) Zbl 0453.03060


MSC:

03F99 Proof theory and constructive mathematics
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References:

[1] J. A. Robinson, Automatic deduction with hyper-resolution, Internat. J. Comput. Math. 1 (1965), 227 – 234. · Zbl 0158.26003 · doi:10.1007/978-3-642-81952-0_27
[2] Ju. V. Matijasevič, A metamathematical approach to proving theorems in discrete mathematics, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 49 (1975), 31 – 50, 177 (Russian, with English summary). Theoretical applications of the methods of mathematical logic, I. · Zbl 0325.68048
[3] Bruno Scarpellini, On the metamathematics of rings and integral domains, Trans. Amer. Math. Soc. 138 (1969), 71 – 96. · Zbl 0181.30101
[4] W. Whiteley, Logic and invariant theory, Ph.D. Thesis, M.I.T., Cambridge, Mass., 1971. · Zbl 0238.50002
[5] S. C. Kleene, Permutability of inferences in Gentzen’s Calculi LK and LJ, Mem. Amer. Math. Society, no. 10, 1952. · Zbl 0047.25002
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