J. B. Paris. A hierarchy of cuts in models of arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 312–337. - George Mills. A tree analysis of unprovable combinatorial statements. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, pp. 248–311. - Jussi Ketonen and Robert Solovay. Rapidly growing Ramsey functions. Annals of mathematics, ser. 2 vol. 113 (1981), pp. 267–314.

A. J. Wilkie

doi:10.2307/2273919

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J. B. Paris. A hierarchy of cuts in models of arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 312–337. - George Mills. A tree analysis of unprovable combinatorial statements. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, pp. 248–311. - Jussi Ketonen and Robert Solovay. Rapidly growing Ramsey functions. Annals of mathematics, ser. 2 vol. 113 (1981), pp. 267–314.

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J. B. Paris. A hierarchy of cuts in models of arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 312–337. - George Mills. A tree analysis of unprovable combinatorial statements. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, pp. 248–311. - Jussi Ketonen and Robert Solovay. Rapidly growing Ramsey functions. Annals of mathematics, ser. 2 vol. 113 (1981), pp. 267–314.

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

J. B. Paris. A hierarchy of cuts in models of arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 312–337. - George Mills. A tree analysis of unprovable combinatorial statements. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, pp. 248–311. - Jussi Ketonen and Robert Solovay. Rapidly growing Ramsey functions. Annals of mathematics, ser. 2 vol. 113 (1981), pp. 267–314.

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