A thesis for interaction

A thesis for interaction
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DOI:
10.1016/j.tcs.2021.10.001
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发表时间:
2021-10
期刊:
Theor. Comput. Sci.
影响因子:
--
通讯作者:
Yuxi Fu
Yuxi Fu
中科院分区:
其他
文献类型:
--
作者:
Yuxi Fu

文献摘要

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提出了一个相互作用的论题,作为相互作用理论的基础。通过确定一个最小模型和一个最大模型,给出了所有交互模型的最小内容可计算性和最大通道可计算性。结果表明,递归函数模型,图灵机模型和λ-演算模型的交互扩展都属于论文的范围。一个主要的技术贡献是最大模型的解释器的设计,适合在论文中的模型。
A thesis for interaction is proposed as a foundation for theory of interaction. It formulates the minimal content computability and the maximal channel computability of all models of interaction by fixing a minimal model and a maximal model. It is shown that the interactive extensions of the recursive function model, the Turing machine model and theλ-calculus model all fall within the realm of the thesis. A major technical contribution is the design of interpreters in the maximal model for the models that fit in the thesis.