Assume-guarantee contract algebras are dp-algebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918145132855296 |
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| author | Castiglioni, Jose Luis Ertola-Biraben, Rodolfo |
| author_facet | Castiglioni, Jose Luis Ertola-Biraben, Rodolfo |
| contents | In [Incer Romeo, I. X., \textit{The Algebra of Contracts}. Ph.D. Thesis, UC Berkeley (2022)] an algebraic perspective on assume-guarantee contracts is proposed. This proposal relies on a construction involving Boolean algebras. However, the structures thus proposed lack a clearly prescribed set of basic operations, necessary if we want to see them as a class of algebras (in the sense of Universal Algebra). In this article, by prescribing a suitable set of basic operations on contracts, we manage to describe these algebras as (a generating set of members of) well-known varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Assume-guarantee contract algebras are dp-algebras Castiglioni, Jose Luis Ertola-Biraben, Rodolfo Logic in Computer Science Rings and Algebras 03G25, 06D30, 08B99 F.3.1 In [Incer Romeo, I. X., \textit{The Algebra of Contracts}. Ph.D. Thesis, UC Berkeley (2022)] an algebraic perspective on assume-guarantee contracts is proposed. This proposal relies on a construction involving Boolean algebras. However, the structures thus proposed lack a clearly prescribed set of basic operations, necessary if we want to see them as a class of algebras (in the sense of Universal Algebra). In this article, by prescribing a suitable set of basic operations on contracts, we manage to describe these algebras as (a generating set of members of) well-known varieties. |
| title | Assume-guarantee contract algebras are dp-algebras |
| topic | Logic in Computer Science Rings and Algebras 03G25, 06D30, 08B99 F.3.1 |
| url | https://arxiv.org/abs/2402.12514 |