A formal system of first-order predicate calculus with infinitely long expressions

作者: Shoji MAEHARA , Gaisi TAKEUTI

DOI: 10.2969/JMSJ/01340357

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参考文章(8)
D. Scott, Alfred Tarski, The sentential calculus with infinitely long expressions Colloquium Mathematicum. ,vol. 6, pp. 165- 170 ,(1958) , 10.4064/CM-6-1-165-170
Carol R. Karp, Independence proofs in predicate logic with infinitely long expressions Journal of Symbolic Logic. ,vol. 27, pp. 171- 188 ,(1962) , 10.2307/2964112
Gerhard Gentzen, Untersuchungen über das logische Schließen II Mathematische Zeitschrift. ,vol. 39, pp. 176- 210 ,(1935) , 10.1007/BF01201353
Shoji MAEHARA, The predicate calculus with $\epsilon$ -symbol. Journal of the Mathematical Society of Japan. ,vol. 7, pp. 323- 344 ,(1955) , 10.2969/JMSJ/00740323
William Craig, Linear reasoning. A new form of the Herbrand-Gentzen theorem Journal of Symbolic Logic. ,vol. 22, pp. 250- 268 ,(1957) , 10.2307/2963593
Kurt Gödel, Die Vollständigkeit der Axiome des logischen Funktionenkalküls Monatshefte für Mathematik. ,vol. 37, pp. 349- 360 ,(1930) , 10.1007/BF01696781