Problems with Beta-conversion Rules in Type Theory with Quotation and Evaluation Terms
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| Year of publication | 2022 |
| Type | Appeared in Conference without Proceedings |
| MU Faculty or unit | |
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| Description | The (partial) type theory is enriched by terms for quotation and evaluation, following thus Lisp's family of programming languages. As noted by Farmer, various problems arise from such extensions, most notably with the substitutability of free variables nested in those new terms. In particular, the beta-conversion rules fail in some cases. In the talk, we solve all these problems. |
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