Article ID Journal Published Year Pages File Type
6873839 Information and Computation 2018 42 Pages PDF
Abstract
is a version of Church's type theory that includes quotation and evaluation operators that are similar to quote and eval in the Lisp programming language. With quotation and evaluation it is possible to reason in about the interplay of the syntax and semantics of expressions and, as a result, to formalize syntax-based mathematical algorithms. We present the syntax and semantics of as well as a proof system for . The proof system is shown to be sound for all formulas and complete for formulas that do not contain evaluations. We give several examples that illustrate the usefulness of having quotation and evaluation in .
Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
Authors
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