On Representability of Multiple-Valued Functions by Linear Lambda Terms Typed with Second-order Polymorphic Type System
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911547207450624 |
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| author | Matsuoka, Satoshi |
| author_facet | Matsuoka, Satoshi |
| contents | We show that any multiple-valued function can be represented by a linear lambda term typed in a second-order polymorphic type system, using two distinct styles. The first is a circuit style, which mimics combinational circuits in switching theory. The second is an inductive style, which follows a more traditional mathematical approach. We also discuss several optimizations for these representations. Furthermore, we present a case study that demonstrates the potential applications of our approach across various domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25337 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Representability of Multiple-Valued Functions by Linear Lambda Terms Typed with Second-order Polymorphic Type System Matsuoka, Satoshi Programming Languages Logic in Computer Science We show that any multiple-valued function can be represented by a linear lambda term typed in a second-order polymorphic type system, using two distinct styles. The first is a circuit style, which mimics combinational circuits in switching theory. The second is an inductive style, which follows a more traditional mathematical approach. We also discuss several optimizations for these representations. Furthermore, we present a case study that demonstrates the potential applications of our approach across various domains. |
| title | On Representability of Multiple-Valued Functions by Linear Lambda Terms Typed with Second-order Polymorphic Type System |
| topic | Programming Languages Logic in Computer Science |
| url | https://arxiv.org/abs/2603.25337 |