Ivo Damyanov | South-Western University - Blagoevgrad (original) (raw)
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Papers by Ivo Damyanov
The essential variables in a finite function fff are defined as variables which occur in fff and ... more The essential variables in a finite function fff are defined as variables which occur in fff and weigh with the values of that function. The number of essential variables is an important measure of complexity for discrete functions. When replacing some variables in a function with constants the resulting functions are called subfunctions, and when replacing all essential variables in a function with constants we obtain an implementation of this function. Such an implementation corresponds with a path in an ordered decision diagram (ODD) of the function which connects the root with a leaf of the diagram. The sets of essential variables in subfunctions of fff are called separable in fff. In this paper we study several properties of separable sets of variables in functions which directly impact on the number of implementations and subfunctions in these functions. We define equivalence relations which classify the functions of kkk-valued logic into classes with same number of implementa...
International Journal of Computer Applications, 2015
Computing Research Repository, 2007
We continue studying essential inputs of trees and automata. Strongly essential inputs of trees a... more We continue studying essential inputs of trees and automata. Strongly essential inputs of trees are introduced and studied. Various examples for application in Computer Science are shown.
The essential variables in a finite function fff are defined as variables which occur in fff and ... more The essential variables in a finite function fff are defined as variables which occur in fff and weigh with the values of that function. The number of essential variables is an important measure of complexity for discrete functions. When replacing some variables in a function with constants the resulting functions are called subfunctions, and when replacing all essential variables in a function with constants we obtain an implementation of this function. Such an implementation corresponds with a path in an ordered decision diagram (ODD) of the function which connects the root with a leaf of the diagram. The sets of essential variables in subfunctions of fff are called separable in fff. In this paper we study several properties of separable sets of variables in functions which directly impact on the number of implementations and subfunctions in these functions. We define equivalence relations which classify the functions of kkk-valued logic into classes with same number of implementa...
International Journal of Computer Applications, 2015
Computing Research Repository, 2007
We continue studying essential inputs of trees and automata. Strongly essential inputs of trees a... more We continue studying essential inputs of trees and automata. Strongly essential inputs of trees are introduced and studied. Various examples for application in Computer Science are shown.