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Brendan S. Gillon (2007). Pāṇini’s Aṣṭādhyāyī and Linguistic Theory.

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  1.  4
    (Close) the Door, the King (Is Going): The Development of Elliptical Resolution in Bhāṭṭa Mīmāṃsā.Malcolm Keating - 2017 - Journal of Indian Philosophy 45 (5):911-938.
    This paper examines three commentaries on the Śabdapariccheda in Kumārila Bhaṭṭa’s Ślokavārttika, along with the the seventeenth century Bhāṭṭa Mīmāṃsā work, the Mānameyodaya. The focus is the Mīmāṃsā principle that only sentences communicate qualified meanings and Kumārila’s discussion of a potential counter-example to this claim–single words which appear to communicate such content. I argue that there is some conflict among commentators over precisely what Kumārila describes with the phrase sāmarthyād anumeyetvād, although he is most likely describing ellipsis completion through arthāpatti. (...)
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    Pāṇini's Grammar and Modern Computation.John Kadvany - 2016 - History and Philosophy of Logic 37 (4):325-346.
    Pāṇini's fourth century BC Sanskrit grammar uses rewrite rules utilizing an explicit formal language defined through a semi-formal metalanguage. The grammar is generative, meaning that it is capable of expressing a potential infinity of well-formed Sanskrit sentences starting from a finite symbolic inventory. The grammar's operational rules involve extensive use of auxiliary markers, in the form of Sanskrit phonemes, to control grammatical derivations. Pāṇini's rules often utilize a generic context-sensitive format to identify terms used in replacement, modification or deletion operations. (...)
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  3.  57
    Indistinguishable From Magic: Computation is Cognitive Technology. [REVIEW]John Kadvany - 2010 - Minds and Machines 20 (1):119-143.
    This paper explains how mathematical computation can be constructed from weaker recursive patterns typical of natural languages. A thought experiment is used to describe the formalization of computational rules, or arithmetical axioms, using only orally-based natural language capabilities, and motivated by two accomplishments of ancient Indian mathematics and linguistics. One accomplishment is the expression of positional value using versified Sanskrit number words in addition to orthodox inscribed numerals. The second is Pāṇini’s invention, around the fifth century BCE, of a formal (...)
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