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- W2057294029 abstract "We explore an axiomatized nominal approach to variable binding in Coq, using an untyped lambda-calculus as our test case. In our nominal approach, alpha-equality of lambda terms coincides with Coq's built-in equality. Our axiomatization includes a nominal induction principle and functions for calculating free variables and substitution. These axioms are collected in a module signature and proved sound using locally nameless terms as the underlying representation. Our experience so far suggests that it is feasible to work from such axiomatized theories in Coq and that the nominal style of variable binding corresponds closely with paper proofs. We are currently working on proving the soundness of a primitive recursion combinator and developing a method of generating these axioms and their proof of soundness from a grammar describing the syntax of terms and binding." @default.
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- W2057294029 date "2007-06-01" @default.
- W2057294029 modified "2023-09-26" @default.
- W2057294029 title "Nominal Reasoning Techniques in Coq" @default.
- W2057294029 cites W2180471721 @default.
- W2057294029 doi "https://doi.org/10.1016/j.entcs.2007.01.028" @default.
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