@inproceedings{aggarwal-kulkarni-2020-treatment,
title = "Treatment of optional forms in Mathematical modelling of {P}{\=a}ṇini",
author = "Aggarwal, Anupriya and
Kulkarni, Malhar",
editor = "Bhattacharyya, Pushpak and
Sharma, Dipti Misra and
Sangal, Rajeev",
booktitle = "Proceedings of the 17th International Conference on Natural Language Processing (ICON)",
month = dec,
year = "2020",
address = "Indian Institute of Technology Patna, Patna, India",
publisher = "NLP Association of India (NLPAI)",
url = "https://aclanthology.org/2020.icon-main.3",
pages = "15--21",
abstract = "P{\=a}ṇini in his Aṣṭ{\=a}dhy{\=a}y{\=\i} has written the grammar of Sanskrit in an extremely concise manner in the form of about 4000 s{\=u}tras. We have attempted to mathematically remodel the data produced by these s{\=u}tras. The mathematical modelling is a way to show that the P{\=a}ṇinian approach is a minimal method of capturing the grammatical data for Sanskrit which is a natural language. The s{\=u}tras written by P{\=a}ṇini can be written as functions, that is for a single input the function produces a single output of the form y=f(x), where x and y is the input and output respectively. However, we observe that for some input dh{\=a}tus, we get multiple outputs. For such cases, we have written multivalued functions that is the functions which give two or more outputs for a single input. In other words, multivalued function is a way to represent optional output forms which are expressed in P{\=a}ṇinian grammar with the help of 3 terms i.e. v{\=a}, vibhaṣ{\=a}, and anyatarasyam. Comparison between the techniques employed by P{\=a}ṇini and our notation of functions helps us understand how P{\=a}ṇinian techniques ensure brevity and terseness, hence illustrating that P{\=a}ṇinian grammar is minimal.",
}

<?xml version="1.0" encoding="UTF-8"?>
<modsCollection xmlns="http://www.loc.gov/mods/v3">
<mods ID="aggarwal-kulkarni-2020-treatment">
<titleInfo>
<title>Treatment of optional forms in Mathematical modelling of Pāṇini</title>
</titleInfo>
<name type="personal">
<namePart type="given">Anupriya</namePart>
<namePart type="family">Aggarwal</namePart>
<role>
<roleTerm authority="marcrelator" type="text">author</roleTerm>
</role>
</name>
<name type="personal">
<namePart type="given">Malhar</namePart>
<namePart type="family">Kulkarni</namePart>
<role>
<roleTerm authority="marcrelator" type="text">author</roleTerm>
</role>
</name>
<originInfo>
<dateIssued>2020-12</dateIssued>
</originInfo>
<typeOfResource>text</typeOfResource>
<relatedItem type="host">
<titleInfo>
<title>Proceedings of the 17th International Conference on Natural Language Processing (ICON)</title>
</titleInfo>
<name type="personal">
<namePart type="given">Pushpak</namePart>
<namePart type="family">Bhattacharyya</namePart>
<role>
<roleTerm authority="marcrelator" type="text">editor</roleTerm>
</role>
</name>
<name type="personal">
<namePart type="given">Dipti</namePart>
<namePart type="given">Misra</namePart>
<namePart type="family">Sharma</namePart>
<role>
<roleTerm authority="marcrelator" type="text">editor</roleTerm>
</role>
</name>
<name type="personal">
<namePart type="given">Rajeev</namePart>
<namePart type="family">Sangal</namePart>
<role>
<roleTerm authority="marcrelator" type="text">editor</roleTerm>
</role>
</name>
<originInfo>
<publisher>NLP Association of India (NLPAI)</publisher>
<place>
<placeTerm type="text">Indian Institute of Technology Patna, Patna, India</placeTerm>
</place>
</originInfo>
<genre authority="marcgt">conference publication</genre>
</relatedItem>
<abstract>Pāṇini in his Aṣṭādhyāyī has written the grammar of Sanskrit in an extremely concise manner in the form of about 4000 sūtras. We have attempted to mathematically remodel the data produced by these sūtras. The mathematical modelling is a way to show that the Pāṇinian approach is a minimal method of capturing the grammatical data for Sanskrit which is a natural language. The sūtras written by Pāṇini can be written as functions, that is for a single input the function produces a single output of the form y=f(x), where x and y is the input and output respectively. However, we observe that for some input dhātus, we get multiple outputs. For such cases, we have written multivalued functions that is the functions which give two or more outputs for a single input. In other words, multivalued function is a way to represent optional output forms which are expressed in Pāṇinian grammar with the help of 3 terms i.e. vā, vibhaṣā, and anyatarasyam. Comparison between the techniques employed by Pāṇini and our notation of functions helps us understand how Pāṇinian techniques ensure brevity and terseness, hence illustrating that Pāṇinian grammar is minimal.</abstract>
<identifier type="citekey">aggarwal-kulkarni-2020-treatment</identifier>
<location>
<url>https://aclanthology.org/2020.icon-main.3</url>
</location>
<part>
<date>2020-12</date>
<extent unit="page">
<start>15</start>
<end>21</end>
</extent>
</part>
</mods>
</modsCollection>

%0 Conference Proceedings
%T Treatment of optional forms in Mathematical modelling of Pāṇini
%A Aggarwal, Anupriya
%A Kulkarni, Malhar
%Y Bhattacharyya, Pushpak
%Y Sharma, Dipti Misra
%Y Sangal, Rajeev
%S Proceedings of the 17th International Conference on Natural Language Processing (ICON)
%D 2020
%8 December
%I NLP Association of India (NLPAI)
%C Indian Institute of Technology Patna, Patna, India
%F aggarwal-kulkarni-2020-treatment
%X Pāṇini in his Aṣṭādhyāyī has written the grammar of Sanskrit in an extremely concise manner in the form of about 4000 sūtras. We have attempted to mathematically remodel the data produced by these sūtras. The mathematical modelling is a way to show that the Pāṇinian approach is a minimal method of capturing the grammatical data for Sanskrit which is a natural language. The sūtras written by Pāṇini can be written as functions, that is for a single input the function produces a single output of the form y=f(x), where x and y is the input and output respectively. However, we observe that for some input dhātus, we get multiple outputs. For such cases, we have written multivalued functions that is the functions which give two or more outputs for a single input. In other words, multivalued function is a way to represent optional output forms which are expressed in Pāṇinian grammar with the help of 3 terms i.e. vā, vibhaṣā, and anyatarasyam. Comparison between the techniques employed by Pāṇini and our notation of functions helps us understand how Pāṇinian techniques ensure brevity and terseness, hence illustrating that Pāṇinian grammar is minimal.
%U https://aclanthology.org/2020.icon-main.3
%P 15-21

##### Markdown (Informal)

[Treatment of optional forms in Mathematical modelling of Pāṇini](https://aclanthology.org/2020.icon-main.3) (Aggarwal & Kulkarni, ICON 2020)

##### ACL