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Devising an unconventional formal logic for bioinspired spacefaring automata

机译:为生物启发的太空自动机设计一种非常规的形式逻辑

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The field of robotics is increasingly moving from robots confined to factory floors and assembly lines and bound to perform the same tasks over and over in an uncertainty-free, well foreseeable environment, to robots designed for operating in highly dynamic and uncertainty domains, like those of interest in space exploration. According to an idea of a "new system of formal logic less rigid than past and present formal logic" advocated by von Neumann for building a powerful theory of automata, such system should be "closer to another discipline which has been little linked in the past with logic, i.e. thermodynamics, primarily in the form it was received by Boltzmann". Following that idea, which is particularly interesting now with the emerging computational nano-sciences, it is stressed here that a full set of isomorphisms can be established between the fundamental logical principles and the information flows, Hamiltonian or dissipative, in phase space. This form of logic, dubbed here kinetic logic, takes standard formal logic out of the field of combinatorics and into the field of the Boltzmannian form of thermodynamics, i.e. kinetics.
机译:机器人技术领域越来越多,从局限在工厂车间和装配线中的机器人,必须在无不确定性,可预见的环境中一遍又一遍地执行相同的任务,转向设计用于在高度动态和不确定性领域中运行的机器人,例如那些太空探索领域根据冯·诺伊曼(von Neumann)倡导的“比过去和现在的形式逻辑更严格的形式逻辑新系统”的构想,以建立强大的自动机理论,这种系统应“更接近于过去几乎没有联系的另一学科”。逻辑,即热力学,主要是玻尔兹曼所接受的形式。遵循这个想法,这种想法在新兴的计算纳米科学中现在变得尤为有趣,这里要强调的是,可以在相空间中的基本逻辑原理和信息流(哈密顿量或耗散量)之间建立一整套同构。这种形式的逻辑在这里被称为动力学逻辑,它将标准形式逻辑从组合学的领域带入热力学的玻尔兹曼形式的领域,即动力学。

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