Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.14081 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916655462875136 |
|---|---|
| author | Cai, Lei Jiang, Yingying Chen, Wenjuan |
| author_facet | Cai, Lei Jiang, Yingying Chen, Wenjuan |
| contents | Quasi-MV* algebras were introduced as generalizations of MV*-algebras and quasi-MV algebras. The recent investigation into quasi-MV* algebras shows that they are closely related to quantum computational logic and complex fuzzy logic. In this paper, we aim to study the logical system associated with quasi-MV* algebras in detail. First, we introduce quasi-Wajsberg* algebras as the term equivalence of quasi-MV* algebras and investigate the related properties of quasi-Wajsberg* algebras. Then we establish the logical system associated with quasi-Wajsberg* algebras using fewer deduction rules. Finally, we discuss the soundness of this logical system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The logic of quasi MV star algebras Cai, Lei Jiang, Yingying Chen, Wenjuan Logic Quasi-MV* algebras were introduced as generalizations of MV*-algebras and quasi-MV algebras. The recent investigation into quasi-MV* algebras shows that they are closely related to quantum computational logic and complex fuzzy logic. In this paper, we aim to study the logical system associated with quasi-MV* algebras in detail. First, we introduce quasi-Wajsberg* algebras as the term equivalence of quasi-MV* algebras and investigate the related properties of quasi-Wajsberg* algebras. Then we establish the logical system associated with quasi-Wajsberg* algebras using fewer deduction rules. Finally, we discuss the soundness of this logical system. |
| title | The logic of quasi MV star algebras |
| topic | Logic |
| url | https://arxiv.org/abs/2503.14081 |