Applying Gödel's Dialectica Interpretation to Obtain a Constructive Proof of Higman's Lemma
We use Gödel's Dialectica interpretation to analyse Nash-Williams' elegant but non-constructive "minimal bad sequence" proof of Higman's Lemma. The result is a concise constructive proof of the lemma (for arbitrary decidable well-quasi-orders) in which Nash-Williams' co...
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| Format: | Article |
| Language: | English |
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Open Publishing Association
2012-10-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1210.3117v1 |