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Elementary Definability of the Class of Universal Planar Automata in the Class of Semigroups

机译:半群班上普遍平面自动机的基本可定性

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摘要

Universal planar automata are universal attracting objects in the category of semigroup automata whose set of states and set of output signals are equipped with algebraic structures of the planes that are invariant under the actions of the transition and output functions. We establish the elementary definability of the class of universal planar automata in the class of semigroups and study the problem of the elementary classification of universal planar automata with the use of first-order theories of input signal semigroups of these automata.
机译:Universal Planar Automata是普遍存在的Semigroup Automata类别中的对象,其一组状态和输出信号集配备有在转换和输出功能的动作下不变的平面的代数结构。 我们在半群体类别中建立了普遍平面自动机的基本可知性,并研究了这些自动机的输入信号半群的一流理论的通用平面自动机基本分类问题。

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