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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2201.11221 |
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| _version_ | 1866914052986372096 |
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| author | Díaz-Caro, Alejandro Dowek, Gilles |
| author_facet | Díaz-Caro, Alejandro Dowek, Gilles |
| contents | We present a linearity theorem for a proof language of intuitionistic multiplicative additive linear logic, incorporating addition and scalar multiplication. The proofs in this language are linear in the algebraic sense. This work is part of a broader research program aiming to define a logic with a proof language that forms a quantum programming language. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_11221 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A linear linear lambda-calculus Díaz-Caro, Alejandro Dowek, Gilles Logic in Computer Science We present a linearity theorem for a proof language of intuitionistic multiplicative additive linear logic, incorporating addition and scalar multiplication. The proofs in this language are linear in the algebraic sense. This work is part of a broader research program aiming to define a logic with a proof language that forms a quantum programming language. |
| title | A linear linear lambda-calculus |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2201.11221 |