Abstract
A reaction system is essentially a finite set of reactions, where each reaction consists of a finite set of reactants (needed for the reaction to take place), a finite set of inhibitors (each of which inhibits the reaction from taking place), and a finite set of products produced when the reaction takes place. A crucial feature of a reaction system is that (unless introduced from outside the system) an element (entity) from a current state will belong also to the successor state only if it is in the product set of a reaction that took place in the current state. In other words, an entity vanishes unless it is sustained by a reaction — a sort of “immediate decay” property. In this paper we relax this property, by providing each entity x with its duration d(x), which guarantees that x will last through at least d(x) consecutive states. Such reaction systems with duration are investigated in this paper. Among others we demonstrate that duration/decay is a result of an interaction with a “structured environment”, and we also investigate fundamental properties of state sequences of reaction systems with duration.
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© 2011 Springer-Verlag Berlin Heidelberg
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Brijder, R., Ehrenfeucht, A., Rozenberg, G. (2011). Reaction Systems with Duration. In: Kelemen, J., Kelemenová, A. (eds) Computation, Cooperation, and Life. Lecture Notes in Computer Science, vol 6610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20000-7_16
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DOI: https://doi.org/10.1007/978-3-642-20000-7_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19999-8
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