Labella Anna and Nicola Rocco de: Initial algebra for a system of right-linear functors. In: Acta cybernetica, (23) 1. pp. 191-201. (2017)
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Abstract
In 2003 we showed that right-linear systems of equations over regular expressions, when interpreted in a category of trees, have a solution whenever they enjoy a specific property that we called hierarchicity and that is instrumental to avoid critical mutual recursive definitions. In this note, we prove that a right-linear system of polynomial endofunctors on a cocartesian monoidal closed category which enjoys parameterized left list arithmeticity, has an initial algebra, provided it satisfies a property similar to hierarchicity.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2017 |
| Volume: | 23 |
| Number: | 1 |
| ISSN: | 0324-721X |
| Page Range: | pp. 191-201 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/50021/ |
| DOI: | 10.14232/actacyb.23.1.2017.12 |
| Uncontrolled Keywords: | Algebra, Lineáris függvények |
| Additional Information: | Bibliogr.: 201. p. és a lábjegyzetekben ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2018. Feb. 12. 09:57 |
| Last Modified: | 2022. Jun. 20. 15:24 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/50070 |
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