VC-Dimensions of Short Presburger Formulas

Author:

Nguyen Danny,Pak Igor

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Reference17 articles.

1. M. Aschenbrenner, A. Dolich, D. Haskell, D. Macpherson and S. Starchenko: Vapnik-Chervonenkis density in some theories without the inde-pendence property, I, Trans. AMS 368 (2016), 5889–5949.

2. A. Barvinok and K. Woods: Short rational generating functions for lattice point problems, Jour. AMS 16 (2003), 957–979.

3. A. Chernikov: Models theory and combinatorics, course notes, UCLA; available electronically at https://tinyurl.com/y8ob6uyv.

4. M. J. Fischer and M. O. Rabin: Super-Exponential Complexity of Presburger Arithmetic, in: Proc. SIAM-AMS Symposium in Applied Mathematics, AMS, Providence, RI, 1974, 27–41.

5. M. Karpinski and A. Macintyre: Polynomial bounds for VC dimension of sigmoidal and general Pfaffian neural networks, J. Comput. System Sci. 54 (1997), 169–176.

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1. Geometric decision procedures and the VC dimension of linear arithmetic theories;Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science;2022-08-02

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