Dynamics of signals in digital circuits: the transition from Boolean algebra to the new algebra

For analysis of the failure risk of asynchronous digital circuits, the time-parameter is introduced into the Boolean algebra replacing the arithmetic operations by logical operations. Using the described below mathematical apparatus, an example of constructing signals passing through the logical elements and a new approach to minimizing Boolean functions are considered.

References

1. Pchelintsev A.N., “The failure risk analysis of digital circuits”, 2013, arXiv: 1303.4051
2. Pchelintsev A., “Analiz tsifrovykh skhem na riski sboya”, Khabr, 2013 https://habr.com/post/202052