Noah A. Hughes

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We analyze the logical strength of theorems on marriage problems with a fixed finite number of solutions via the techniques of reverse mathematics. We show that if a marriage problem has k solutions, then there is a finite set of boys such that the marriage problem restricted to this set has exactly k solutions, each of which extend uniquely to a solution(More)
We analyze the logical strength of theorems on marriage problems with unique solutions using the techniques of reverse mathematics, restricting our attention to problems in which each boy knows only finitely many girls. In general, these marriage theorems assert that if a marriage problem has a unique solution then there is a way to enumerate the boys so(More)
Treatment of 1,2,3-tri-O-acetyl-5,6-anhydro-D-galactofuranose with thiourea gave 1,2,3-tri-O-acetyl-5,6-dideoxy-5,6-epithio-L-altrofuranose, acetolysis of which gave 1,2,3,6-tetra-O-acetyl-5-S-acetyl-5-thio-L-altrofuranose. Deacetylation of the latter gave 5-thio-L-altrose.
Reaction of 5,6-anhydro-1,2-O-isopropylidene-3-O-methanesulfonyl-3-L-idofuranose+ ++ with thioacetic acid in pyridine gave 6-S-acetyl-1,2-O-isopropylidene-3-O-methanesulfonyl-6-thio-3-L-idofur anose, which was deacetylated and the resultant thiol was converted into 1,2-O:5,6-O,S-diisopropylidene-3-O-methanesulfonyl-3-L-idofuran ose. Alkaline cleavage of the(More)
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