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This model of computation has been demonstrated to be as powerful as turing machines by different methods: by generating Diophantine sets, by computing partial recursive functions and by simulating register machines. It is interesting to investigate the practical use cases of this model in terms of possibilities and efficiency. In this work, we give the basic modules to create an arithmetic calculator. As a practical application, two pairing functions are calculated by means of two different virus machines. Pairing functions are important resources in the field of cryptography. The functions calculated are the Cantor pairing function and the G\u00f6del pairing function. <\/jats:p>","DOI":"10.1142\/s0129065723500235","type":"journal-article","created":{"date-parts":[[2023,2,24]],"date-time":"2023-02-24T13:22:42Z","timestamp":1677244962000},"source":"Crossref","is-referenced-by-count":9,"title":["Using Virus Machines to Compute Pairing Functions"],"prefix":"10.1142","volume":"33","author":[{"given":"Antonio","family":"Ram\u00edrez-de-Arellano","sequence":"first","affiliation":[{"name":"Research Group on Natural Computing, Department of Computer, Science and Artificial, Intelligence, Universidad de Sevilla, Avenida Reina Mercedes s\/n, 41012 Seville, Spain"},{"name":"SCORE Laboratory, I3US, Universidad de Sevilla, Avenida Reina Mercedes s\/n, 41012 Sevilla, Spain"}]},{"given":"David","family":"Orellana-Mart\u00edn","sequence":"additional","affiliation":[{"name":"Research Group on Natural Computing, Department of Computer, Science and Artificial, Intelligence, Universidad de Sevilla, Avenida Reina Mercedes s\/n, 41012 Seville, Spain"},{"name":"SCORE Laboratory, I3US, Universidad de Sevilla, Avenida Reina Mercedes s\/n, 41012 Sevilla, Spain"}]},{"given":"Mario J.","family":"P\u00e9rez-Jim\u00e9nez","sequence":"additional","affiliation":[{"name":"Research Group on Natural Computing, Department of Computer, Science and Artificial, Intelligence, Universidad de Sevilla, Avenida Reina Mercedes s\/n, 41012 Seville, Spain"},{"name":"SCORE Laboratory, I3US, Universidad de Sevilla, Avenida Reina Mercedes s\/n, 41012 Sevilla, Spain"}]}],"member":"219","published-online":{"date-parts":[[2023,3,25]]},"reference":[{"issue":"1","key":"S0129065723500235BIB001","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.coviro.2011.12.004","volume":"2","author":"Mokili J. 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