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A Subjective Logic Library Constructed Using Monadic Higher Order Functions.

机译:使用单子高阶函数构造的主观逻辑库。

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摘要

Subjective Logic is a recently emergent probabilistic logic system that allows for reasoning under uncertainty. Though algebraically expressive, there is a lack of software tooling to support computation, such as code libraries, calculators, and software for the development of decision support systems. With this motivation, we present a complete design for a library of opinion data structures and operators constructed from higher order functions that are capable of representing and evaluating well-formed expressions of Subjective Logic. By leveraging monads, mathematical objects from Category Theory, we have enabled our operators to detect and propagate run-time errors without sacrificing compositionality. Furthermore, we have conducted a termination analysis on the expression evaluator and a complexity analysis on a representative subset of the operators. We have also proposed and implemented extensions to the set of Subjective Logic operators. Lastly, we provide examples of how to compute the values of Subjective Logic expressions.
机译:主观逻辑是最近出现的概率逻辑系统,它允许在不确定性下进行推理。尽管具有代数表达能力,但缺少支持计算的软件工具,例如代码库,计算器和用于决策支持系统开发的软件。以此动机,我们为意见数据结构和运算符的库提供了完整的设计,该库由高阶函数构造而成,这些函数能够表示和评估主观逻辑的格式正确的表达式。通过利用Monad和来自Category Theory的数学对象,我们使操作员能够检测和传播运行时错误,而无需牺牲组成。此外,我们对表达式评估器进行了终止分析,并对运算符的代表性子集进行了复杂度分析。我们还提议并实现了对主观逻辑运算符集的扩展。最后,我们提供了有关如何计算主观逻辑表达式的值的示例。

著录项

  • 作者

    St. Amour, Bryan.;

  • 作者单位

    University of Windsor (Canada).;

  • 授予单位 University of Windsor (Canada).;
  • 学科 Computer science.
  • 学位 M.Sc.
  • 年度 2014
  • 页码 104 p.
  • 总页数 104
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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