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Naive Fracterm Calculus
Journal of Universal Computer Science, Volume: 29, Issue: 9, Pages: 961 - 987
Swansea University Author:
John Tucker
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DOI (Published version): 10.3897/jucs.87563
Abstract
An outline is provided of a new perspective on elementary arithmetic, based on addition, multiplication, subtraction and division, which is informal and unique and may be considered naive when contrasted with a plurality of algebraic and logical, axiomatic formalisations of elementary arithmetic.
Published in: | Journal of Universal Computer Science |
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ISSN: | 0948-695X 0948-6968 |
Published: |
Institut für Informationssysteme und Computer Medien
2023
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Online Access: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa63956 |
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2023-07-26T16:37:04Z |
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last_indexed |
2024-11-25T14:13:11Z |
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2023-10-26T11:42:58.6354946 v2 63956 2023-07-26 Naive Fracterm Calculus 431b3060563ed44cc68c7056ece2f85e 0000-0003-4689-8760 John Tucker John Tucker true false 2023-07-26 MACS An outline is provided of a new perspective on elementary arithmetic, based on addition, multiplication, subtraction and division, which is informal and unique and may be considered naive when contrasted with a plurality of algebraic and logical, axiomatic formalisations of elementary arithmetic. Journal Article Journal of Universal Computer Science 29 9 961 987 Institut für Informationssysteme und Computer Medien 0948-695X 0948-6968 Elementary arithmetic, division by zero, fracterm calculus, common meadow, abstract data type 28 9 2023 2023-09-28 10.3897/jucs.87563 https://doi.org/10.3897/jucs.87563 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Not Required 2023-10-26T11:42:58.6354946 2023-07-26T17:22:51.6737195 Faculty of Science and Engineering School of Mathematics and Computer Science - Computer Science Jan A Bergstra 0000-0003-2942-506X 1 John Tucker 0000-0003-4689-8760 2 63956__28878__81de5112c20442b1b24bc831c67c998a.pdf 63956.VOR.pdf 2023-10-26T11:40:35.3460923 Output 336643 application/pdf Version of Record true Distributed under the terms of a Creative Commons Attribution-NoDerivatives 4.0 International License (CC BY-ND 4.0). true eng https://creativecommons.org/licenses/by-nd/4.0/ |
title |
Naive Fracterm Calculus |
spellingShingle |
Naive Fracterm Calculus John Tucker |
title_short |
Naive Fracterm Calculus |
title_full |
Naive Fracterm Calculus |
title_fullStr |
Naive Fracterm Calculus |
title_full_unstemmed |
Naive Fracterm Calculus |
title_sort |
Naive Fracterm Calculus |
author_id_str_mv |
431b3060563ed44cc68c7056ece2f85e |
author_id_fullname_str_mv |
431b3060563ed44cc68c7056ece2f85e_***_John Tucker |
author |
John Tucker |
author2 |
Jan A Bergstra John Tucker |
format |
Journal article |
container_title |
Journal of Universal Computer Science |
container_volume |
29 |
container_issue |
9 |
container_start_page |
961 |
publishDate |
2023 |
institution |
Swansea University |
issn |
0948-695X 0948-6968 |
doi_str_mv |
10.3897/jucs.87563 |
publisher |
Institut für Informationssysteme und Computer Medien |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
hierarchy_parent_title |
Faculty of Science and Engineering |
department_str |
School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science |
url |
https://doi.org/10.3897/jucs.87563 |
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description |
An outline is provided of a new perspective on elementary arithmetic, based on addition, multiplication, subtraction and division, which is informal and unique and may be considered naive when contrasted with a plurality of algebraic and logical, axiomatic formalisations of elementary arithmetic. |
published_date |
2023-09-28T12:58:51Z |
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1831915887301492736 |
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11.059359 |