On Natural Deduction for Herbrand Constructive Logics I: Curry-Howard Correspondence for Dummett's Logic LC
Dummett's logic LC is intuitionistic logic extended with Dummett's axiom: for every two statements the first implies the second or the second implies the first. We present a natural deduction and a Curry-Howard correspondence for first-order and second-order Dummett's logic. We add to...
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| Format: | Article |
| Language: | English |
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Logical Methods in Computer Science e.V.
2017-04-01
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| Series: | Logical Methods in Computer Science |
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| Online Access: | https://lmcs.episciences.org/2048/pdf |