On plant roots logical gates

Abstract

Theoretical constructs of logical gates implemented with plant roots are morphological computing asynchronous devices. Values of Boolean variables are represented by plant roots. A presence of a plant root at a given site symbolises the logical {\sc True}, an absence the logical {\sc False}. Logical functions are calculated via interaction between roots. Two types of two-inputs-two-outputs gates are proposed: a gate $⟨x,y⟩\to ⟨xy,x+y⟩$ where root apexes are guided by gravity and a gate $⟨x,y⟩\to ⟨\overline{x}y,x⟩$ where root apexes are guided by humidity. We propose a design of binary half-adder based on the gates.