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EN
The paper presents a set of algorithms dedicated for synthesis of reconfigurable logic controllers implemented on FPGA platform and programmed according to IEC1131 and EN61131. The program is compiled to hardware structure with a massive parallel processing. The developed method automatically allocates resources and operations. It controls resource usage and operation timing. Using mixed concept of operation allocation that considers operation timing and forms combinatorial chains of operations number of execution cycles can be reduced. An example of logic functions, PID controller and mixed arithmetic and logic programming examples are considered. Introducing the automatic implementation method allows flexible implementing the control algorithms. The maximal possible parallelism (limited only by the algorithm dependencies and available resources) is introduced.
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Content available remote Complex Algebras of Arithmetic
EN
An arithmetic circuit is a labeled, acyclic directed graph specifying a sequence of arithmetic, and logical operations to be performed on sets of natural numbers. Arithmetic circuits can, also be viewed as the elements of the smallest subalgebra of the complex algebra of the semiring of, natural numbers. In the present paper we investigate the algebraic structure of complex algebras of, natural numbers and make some observations regarding the complexity of various theories of such algebras.
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