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Multiple (more than 2) model synchronization is ubiquitous and important formodel driven engineering, but its theoretical underpinning gained much lessattention than the binary case. Specifically, the latter was extensivelystudied by the bx community in the framework of algebraic models for updatepropagation called lenses. Now we make a step to restore the balance andpropose a notion of multiary delta lens. Besides multiarity, our lenses feature{\em reflective} updates, when consistency restoration requires some amendmentof the update that violated consistency. We emphasize the importance of variousways of lens composition for practical applications of the framework, and proveseveral composition results.

Multiple Model Synchronization with Multiary Delta Lenses with Amendment and K-Putput