Undecidability of the first-order arithmetic A[P(x), 2x, x + 1]

Author:

Ono Hiroakira,Nakamura Akira

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Networks and Communications,Theoretical Computer Science

Reference6 articles.

1. Weak second order arithmetic and finite automata;Bucxi;Z. Math. Logik Grundlagen Math.,1960

2. Decidability and undecidability of extensions of second (first) order theory of (generalized) successor;Elgot;J. Symbolic Logic,1966

3. On causal 2-systems;Nakamura;J. Comput. System Sci.,1975

4. Two-dimensional finite automata and their application to the decision problem of monadic first-order arithmetic A[P,f(x),g(x)];Nakamura;Studies on Polyautomata,1977

5. Decidability and essential undecidability;Putnam;J. Symbolic Logic,1957

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