Why Some Theoretically Possible Representations of Natural Numbers Were Historically Used and Some Were Not: An Algorithm-Based Explanation
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Publisher
Springer Nature Switzerland
Link
https://link.springer.com/content/pdf/10.1007/978-3-031-36394-8_24
Reference5 articles.
1. A. Bés, Undecidable extensions of Büchi arithmetic and Cobham-Semënov theorem. J. Symb. Logic 62(4), 1280–1296 (1997)
2. C.B. Boyer, U.C. Merzbach, History of Mathematics (Wiley, Hoboken, New Jersey, 2011)
3. P. Hieronymi, C. Schulz, A strong version of Cobham’s theorem (2021). arXiv:2110.11858
4. A.L. Semenov, Logical theories of one-place functions on the set of natural numbers. Izvestiya: Math. 22(3), 587–618 (1984)
5. R. Villemaire, The theory of $$\langle N, +, V_k, V_l\rangle $$ is undecidable. Theor. Comput. Sci. 106(2), 337–349 (1992)
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