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@proceedings{2219755, author = {Raclavský, Jiří}, booktitle = {XXVII Incontro di Logica}, keywords = {partial type theory; evaluation terms; beta-conversion}, language = {eng}, title = {Problems with Beta-conversion Rules in Type Theory with Quotation and Evaluation Terms}, year = {2022} }
TY - CONF ID - 2219755 AU - Raclavský, Jiří PY - 2022 TI - Problems with Beta-conversion Rules in Type Theory with Quotation and Evaluation Terms KW - partial type theory KW - evaluation terms KW - beta-conversion N2 - 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. ER -
RACLAVSKÝ, Jiří. Problems with Beta-conversion Rules in Type Theory with Quotation and Evaluation Terms. In \textit{XXVII Incontro di Logica}. 2022.
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