New Choice for Small Universal Devices: Symport/Antiport P Systems

TL;DR

This paper surveys symport/antiport P systems, highlighting their potential as small, universal computational devices inspired by cellular operations, suitable for replacing register machines in parallel simulations.

Contribution

It provides a comprehensive survey of symport/antiport P systems and analyzes trade-offs in their parameters for achieving universality with small descriptional complexity.

Findings

Small symport/antiport P systems can be universal.

Trade-offs exist between system parameters and universality.

These systems are promising for small universal device applications.

Abstract

Symport/antiport P systems provide a very simple machinery inspired by corresponding operations in the living cell. It turns out that systems of small descriptional complexity are needed to achieve the universality by these systems. This makes them a good candidate for small universal devices replacing register machines for different simulations, especially when a simulating parallel machinery is involved. This article contains survey of these systems and presents different trade-offs between parameters.