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Computational universality of fungal sandpile automata
Physics Letters A ( IF 2.3 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.physleta.2020.126541
Eric Goles , Michail-Antisthenis Tsompanas , Andrew Adamatzky , Martin Tegelaar , Han A.B. Wosten , Genaro J. Martínez

Abstract Hyphae within the mycelia of the ascomycetous fungi are compartmentalised by septa. Each septum has a pore that allows for inter-compartmental and inter-hyphal streaming of cytosol and even organelles. The compartments, however, have special organelles, Woronin bodies, that can plug the pores. When the pores are blocked, no flow of cytoplasm takes place. Inspired by the controllable compartmentalisation within the mycelium of the ascomycetous fungi we designed two-dimensional fungal automata. A fungal automaton is a cellular automaton where communication between neighbouring cells can be blocked on demand. We demonstrate computational universality of the fungal automata by implementing sandpile cellular automata circuits there. We reduce the Monotone Circuit Value Problem to the Fungal Automaton Prediction Problem. We construct families of wires, cross-overs and gates to prove that the fungal automata are P-complete.

中文翻译:

真菌沙堆自动机的计算通用性

摘要 子囊菌真菌菌丝内的菌丝被隔膜分隔。每个隔膜都有一个孔,允许细胞质甚至细胞器的隔室间和菌丝间流动。然而,这些隔间有特殊的细胞器,Woronin 小体,可以堵塞毛孔。当孔被阻塞时,不会发生细胞质的流动。受子囊菌真菌菌丝内可控划分的启发,我们设计了二维真菌自动机。真菌自动机是一种元胞自动机,可以根据需要阻止相邻细胞之间的通信。我们通过在那里实现沙堆元胞自动机电路来证明真菌自动机的计算通用性。我们将单调电路值问题简化为真菌自动机预测问题。
更新日期:2020-08-01
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