منابع مشابه
On Deuber's partition theorem for (m, p, c)-sets
In 1973, Deuber published his famous proof of Rado’s conjecture regarding partition regular sets. In his proof, he invented structures called (m, p, c)-sets and gave a partition theorem for them based on repeated applications of van der Waerden’s theorem on arithmetic progressions. In this paper, we give the complete proof of Deuber’s, however with the more recent parameter set proof of his par...
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This is a survey of results on partition regularity of matrices, beginning with the classic results of Richard Rado on kernel partition regularity, continuing with the groundbreaking results of Walter Deuber on image partition regularity, and leading up to the present day. Included are the largely settled world of finite matrices and the mostly unknown world of infinite matrices.
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Hilbert’s original aim, to show the consistency of the use of such ideal elements by finitistic means, which would suffice to eliminate these ideal elements from proofs of purely universal (‘real’) theorems (‘Hilbert’s program’), turned out to be impossible for theories containing a sufficient amount of number theory by K. Gödel’s 2nd incompleteness theorem. Nevetheless, various partial realiza...
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Many of the classical results of Ramsey Theory, for example Schur’s Theorem, van der Waerden’s Theorem, Finite Sums Theorem, are naturally stated in terms of image partition regularity of matrices. Many characterizations are known of image partition regularity over N and other subsemigroups of (R,+). In this paper we introduce a new notion which we call universally image partition regular matri...
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A framework for modelling memory consistency is presented. The framework is used to specify the operation of a total-store-order write buffer multiprocessor machine. The framework is used again to specify a more abstract “programmer-centric” model that does not refer to the write-buffer architecture. Finally, we prove that the abstract model correctly captures the computations of the operationa...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1993
ISSN: 0097-3165
DOI: 10.1016/0097-3165(93)90084-l