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How Formal Concept Lattices Solve a Problem of Ancient Linguistics

机译:形式概念格如何解决古代语言学问题

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In his grammar of ancient Sanskrit, Panini represents the phonological classes as intervals of a list. This representation method and especially the actual list constructed by Panini, which is called the Sivasutras, earns universal admiration. The legend says that god Siva revealed the Sivasutras to Panini in order to let him start developing his grammar of Sanskrit. A question still discussed is whether it is possible to shorten the Sivasutras. In the course of this paper, I am going to prove that this question can be reduced to a question about the graph-theoretical form of a particular formal concept lattice. Furthermore, I show how the Sivasutras can be reconstructed from Panini's grammar.
机译:帕尼尼(Panini)在他的古代梵文语法中,将语音分类表示为列表的间隔。这种表示方法,特别是由Panini构建的实际列表(称为Sivasutras),引起了普遍赞誉。传说说西瓦神向帕尼尼(Panini)揭示了锡瓦苏特拉(Sivasutras),以便让他开始发展梵文语法。仍在讨论的一个问题是是否可以缩短Sivasutras。在本文的过程中,我将证明该问题可以简化为关于特定形式概念格的图论形式的问题。此外,我展示了如何从Panini的语法中重建Sivasutras。

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