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This work constitutes progress toward the development of a knowledge base for braids, knots, and their colourings. The main result of this development is the creation of a logical model for storing data pertaining to braids, two-dimensional projections of three dimensional knots, finite quandles, and colorings of braids and knots by quandles. It uses the Entity Relationship data reference model as its starting point and makes the original design there. In addition, it includes a conversion of the Entity Relationship Diagram (ERD) to SQL queries that define tables corresponding to the ERD entity sets. Finally this work demonstrates how to populate the database on a given set of data in the input format for the Color My Knot (CMK) application by McGrail, Nguyen, and Granda.
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This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Han, Dong Hyun, "A Deductive Database for Knot Colourings" (2021). Senior Projects Spring 2021. 164.
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