A Tour of the Multivariate Lambda Calculus

  • Garrel Pottinger


We discuss a lambda calculus in which a single λ may bind an arbitrary finite sequence of variables. This introduces terms of the form λx 0x n −1 · X which are not the result of performing n univariate abstractions. For example, we have λxy · x ≠ λx · λy · x. Redexes have the form (λx 0x n −1 · X) Y 0Y n −1, and such a redex contracts to the result of simultaneously substituting Y0,…, Y n −1 for x 0,…,x n −1 in X.


Environment Model Term Structure Preceding Paragraph Recursive Function Combinatory Model 
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© Kluwer Academic Publishers 1990

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  • Garrel Pottinger

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