Yes, SquareScale both supports and recommends stateless applications designs.

SquareScale is built from the ground up for Cloud Native applications that follow the 12-factor app manifesto and the subsequent evolutions.

An application built with stateless services is a good practice recommended by the 12 factor standard, that comes from the PaaS era. 

Cloud Native applications are even more concerned, in an even more modern world driven by high scalability requirements.

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