Geodesic
A Ramsey-type property in additive number theory
Glasgow mathematical journal, Tome 26 (1985), pp. 5-10

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Let A be a sequence of positive integers. Define P(A) to be the set of all integers representable as a sum of distinct terms of A. Note that if A contains a repeated value, we are free to use it as many times as it occurs in A. We call A complete if every sufficiently large positive integer is in P(A), and entirely complete if every positive integer is in P(A). Completeness properties have received considerable, if somewhat sporadic, attention over the years. See Chapter 6 of [3] for a survey. 
Burr, S. A.; Erdös, P. A Ramsey-type property in additive number theory. Glasgow mathematical journal, Tome 26 (1985), pp. 5-10. doi: 10.1017/S0017089500006029
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[1] 1.Burr, S. A., On the Completeness of Sequences of Perturbed Polynomial Values, Pacific J. Math. 85 (1979), 355–360. Google Scholar

[2] 2.Burr, S. A. and Erdos, P., Completeness Properties of Perturbed Sequences, J. Number Theory 13 (1981), 446–455. Google Scholar

[3] 3.Erdos, P. and Graham, R. L., Old and New Problems and Results in Combinatorial Number Theory, Monographic 28 (L'Enseignement Mathématique, 1980). Google Scholar

[4] 4.Graham, R. L., Rudiments of Ramsey Theory(American Mathematical Society, 1981). Google Scholar | DOI

[5] 5.Graham, R. L., Rothschild, B. L., and Spencer, J. H., Ramsey Theory (Wiley, 1980). Google Scholar

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