Bridging Reliability to Efficiency Consecutive Elegant and Simple Design

An acute problem when moving into the few nanometers highly advanced CMOS technologies is represented by the inexorable cost-yield balance, lately clearly tilted by the hefty costs. Amongst the options worth investigating (for reducing costs), designing for (enhanced) reliability has still not gained traction, as implicitly considered a power-/energy-hungry solution (due to redundancy), as well as a complex design alternative (hence risky). From the biological side, neurons are prime examples of highly efficient designs reaching outstanding communication and computation reliabilities, although relying on random devices (known as ion channels or, more fittingly, single ion transistors). In this paper, bridging from biology to circuits, we will show how kind of overlooked mathematical results (about consecutive systems) together with novel Binet-equivalent formulas (for Fibonnaci numbers of higher orders) can be pieced together for completely avoiding reliability calculations for consecutive systems. Finally, using such results, in combination with freshly defined cost functions (for reliability), we are able to present a trivial design scheme for consecutive systems which is balancing reliability and efficiency.