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arXiv 2107.05850cs.AI
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经典规划解决方案中的组合性编码

Encoding Compositionality in Classical Planning Solutions

University of Maryland, College Park(马里兰大学帕克分校);Johns Hopkins University Applied Physics Laboratory(约翰斯·霍普金斯大学应用物理实验室)

Angeline Aguinaldo, William Regli

摘要:

经典的人工智能规划器以长而不透明的文本输出形式提供规划问题的解决方案。为了帮助理解规划解决方案的可转移性,有必要在当前逐行文本符号之外为人类和计算机提供丰富且易于理解的表示。特别地,希望在整个计划中对文字的踪迹进行编码,以捕获所选择的动作之间的依赖性。本文的方法是将动作视为文字之间的映射,而所选计划则是这些映射的组合。数学理论,称为范畴论,提供了相关的结构,用于捕获映射,它们的组成,以及组成之间的映射。我们采用这一理论,提出了一个算法不可知的,基于模型的表示域,问题,并表示在常用的规划描述语言,PDDL计划。这个范畴理论表示伴随着图形语法,除了线性符号,类似于代数表达式,可以用来推断计划的每一步使用的文字。这提供了适当的建设性抽象,并促进人类操作员的理解。在本文中,我们将在Blocksworld域中的一个计划上证明这一点。

英文摘要:

Classical AI planners provide solutions to planning problems in the form of long and opaque text outputs. To aid in the understanding transferability of planning solutions, it is necessary to have a rich and comprehensible representation for both human and computers beyond the current line-by-line text notation. In particular, it is desirable to encode the trace of literals throughout the plan to capture the dependencies between actions selected. The approach of this paper is to view the actions as maps between literals and the selected plan as a composition of those maps. The mathematical theory, called category theory, provides the relevant structures for capturing maps, their compositions, and maps between compositions. We employ this theory to propose an algorithm agnostic, model-based representation for domains, problems, and plans expressed in the commonly used planning description language, PDDL. This category theoretic representation is accompanied by a graphical syntax in addition to a linear notation, similar to algebraic expressions, that can be used to infer literals used at every step of the plan. This provides the appropriate constructive abstraction and facilitates comprehension for human operators. In this paper, we demonstrate this on a plan within the Blocksworld domain.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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