JournalsprimsVol. 21, No. 3pp. 455–540

Theory of Symbolic Expressions, II

  • Masahiko Sato

    University of Tokyo, Japan
Theory of Symbolic Expressions, II cover
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A new domain S of symbolic expressions is introduced and its structure is studied formally. To study S formally an intuitionistic first order theory, SA, is introduced. SA is a theory adequate for developing elementary metamathematics within it. Gödels second incompleteness theorem is proved formally within SA to show the adequacy. A modified version of Post-Smullyan's formal system is used to define basic concepts in SA. The close relation between formal systems and the logic programming language Qute is also pointed out.

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Masahiko Sato, Theory of Symbolic Expressions, II. Publ. Res. Inst. Math. Sci. 21 (1985), no. 3, pp. 455–540

DOI 10.2977/PRIMS/1195179055