Works by A. J. Wilkie

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Works by A. J. Wilkie ( view other items matching `A. J. Wilkie`, view all matches )

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L. van Den Dries & A. J. Wilkie, Of Linear Divisibility Conditions.
We prove linear and polynomial growth properties of sets and functions that are existentially definable in the ordered group of integers with divisibility. We determine the laws of addition with order and divisibility.
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A. J. Wilkie (2005). Fusing O-Minimal Structures. Journal of Symbolic Logic 70 (1):271 - 281.
In this note I construct a proper o-minimal expansion of the ordered additive group of rationals.
Logic and Philosophy of Logic
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A. J. Wilkie (2004). Diophantine Properties of Sets Definable in o-Minimal Structures. Journal of Symbolic Logic 69 (3):851-861.
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L.den Dries & A. J. Wilkie (2003). The Laws of Integer Divisibility, and Solution Sets of Linear Divisibility Conditions. Journal of Symbolic Logic 68 (2):503 - 526.
We prove linear and polynomial growth properties of sets and functions that are existentially definable in the ordered group of integers with divisibility. We determine the laws of addition with order and divisibility.
Logic and Philosophy of Logic
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L. van den Dries & A. J. Wilkie (2003). The Laws of Integer Divisibility, and Solution Sets of Linear Divisibility Conditions. Journal of Symbolic Logic 68 (2):503-526.
We prove linear and polynomial growth properties of sets and functions that are existentially definable in the ordered group of integers with divisibility. We determine the laws of addition with order and divisibility.
Logic and Philosophy of Logic
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A. J. Wilkie (1994). On Defining C∞. Journal of Symbolic Logic 59 (1):344 -.
Logic and Philosophy of Logic
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J. B. Paris, A. J. Wilkie & A. R. Woods (1988). Provability of the Pigeonhole Principle and the Existence of Infinitely Many Primes. Journal of Symbolic Logic 53 (4):1235-1244.
Logic and Philosophy of Logic
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P. Aczel, J. B. Paris, A. J. Wilkie, G. M. Wilmers & C. E. M. Yates (1986). European Summer Meeting of the Association for Symbolic Logic: Manchester, England, 1984. Journal of Symbolic Logic 51 (2):480-502.
Logic and Philosophy of Logic, Misc in Logic and Philosophy of Logic
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Works by A. J. Wilkie ( view other items matching `A. J. Wilkie`, view all matches )