Relating Reversible Petri Nets and Reversible Event Structures, categorically
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866908400623812608 |
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| author | Melgratti, Hernán Mezzina, Claudio Antares Pinna, G. Michele |
| author_facet | Melgratti, Hernán Mezzina, Claudio Antares Pinna, G. Michele |
| contents | Causal nets (CNs) are Petri nets where causal dependencies are modelled via inhibitor arcs. They play the role of occurrence nets when representing the behaviour of a concurrent and distributed system, even when reversibility is considered. In this paper we extend CNs to account also for asymmetric conflicts and study (i) how this kind of nets, and their reversible versions, can be turned into a category; and (ii) their relation with the categories of reversible asymmetric event structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14195 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relating Reversible Petri Nets and Reversible Event Structures, categorically Melgratti, Hernán Mezzina, Claudio Antares Pinna, G. Michele Logic in Computer Science Formal Languages and Automata Theory Causal nets (CNs) are Petri nets where causal dependencies are modelled via inhibitor arcs. They play the role of occurrence nets when representing the behaviour of a concurrent and distributed system, even when reversibility is considered. In this paper we extend CNs to account also for asymmetric conflicts and study (i) how this kind of nets, and their reversible versions, can be turned into a category; and (ii) their relation with the categories of reversible asymmetric event structures. |
| title | Relating Reversible Petri Nets and Reversible Event Structures, categorically |
| topic | Logic in Computer Science Formal Languages and Automata Theory |
| url | https://arxiv.org/abs/2302.14195 |