As a future vision, we present here an approach to design of evolving computer system. We summarize achievements of others and highlight the drawbacks of existing systems, explaining limitations of hardware and software co-existence. New design principles, models of representation for algorithms and architecture are introduced and described with an explanation regarding how to achieve better parallelism and reduce concurrency. Structure of required system software and hardware for reconfigurable adaptable system is presented and explained. Prototype architecture of evolving system of computer is discussed in terms of gain of performancePerformance, reliabilityReliability and power saving. Comparison with Berkley approach to future computer is given. This is an extended version of our papers and tutorials presented at WorldComp 2014, July 19–24 Las Vegas, USA. Simon Monkman, from Bath and Prof Luc Blaeser, from Zurich kindly contributed figures and Composita Language examples in this part of work.