@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://preview.aclanthology.org/jlcl-multiple-ingestion/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."
}