Abstract
I review recent progress in the development of the theoretical framework necessary for computing K !pp decay amplitudes in Euclidean finite volumes. The status of the theory of finite volume effects is discussed and the role of chiral perturbation theory and the determination of low energy constants is reviewed. A proposal to use twisted boundary conditions is explained and the status of a suggestion to investigate the role of the charm quark in the DI = 1=2 rule is discussed.
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