Publication: Reaction System Ranks For Union-Additive Functions Under Various Resource Constraints And Their Hierarchical Analysis
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Date
2025-09
Authors
Husain, Intekhab
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Abstract
Reaction systems, introduced nearly two decades ago by Ehrenfeucht and Rozenberg, are a robust modeling framework inspired by the complex chemical interactions within living cells. A key aspect of reaction systems is the associated rs function, which describes the transition of states in an interactive process. Mathematical studies of rs functions have garnered significant interest, particularly focusing on functions specified by minimal reaction systems. The concept of reaction system rank is evolving as a significant research topic; it measures the complexity of an rs function based on the smallest set of reactions that can specify it. This work studies the reaction system ranks of functions belonging to the class of union-additive rs functions, F𝑈 (𝑆), introduced by Salomaa.
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Keywords
Reaction System Ranks For Union-Additive Functions Under Various Resource Constraints , Hierarchical Analysis