Lifschitz, Vladimir Semantical completeness theorems in logic and algebra. (English) Zbl 0453.03060 Proc. Am. Math. Soc. 79, 89-96 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 03F99 Proof theory and constructive mathematics Keywords:Nullstellensatz; duality theorem of Farkas-Minkowski; hyper-resolution method; proof theory PDFBibTeX XMLCite \textit{V. Lifschitz}, Proc. Am. Math. Soc. 79, 89--96 (1980; Zbl 0453.03060) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.