asymptotic problems), optimal design of computer systems and computer media, optimal organization of parallel data processing, dynamic programming, discrete event systems, computer science, discrete mathematics, mathematical logic and so on. See, for example, [4]- [64]. Let us indicate some applications of these ideas in mathematical physics and biophysics [65]- [70].In this paper the correspondence principle is used to develop an approach to object-oriented software and hardware design for algorithms of idempotent calculus and scientific calculations. In particular, there is a regular method for constructing back-end processors and technical devices intended for an implementation of basic algorithms of idempotent calculus and mathematics of semirings. These hardware facilities increase the speed of data processing. Moreover this approach is useful for software and hardware design in the general case of algorithms which are not "idempotent" [72].The paper contains a brief survey of the subject but our list of references is not complete. Additional references could be found in [
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