More precisely, we first define a memory calculus K. Logical foundation by Pfenning, Wong, and Davies towards building a practical,ĭependently typed foundation for meta-programming. The (lambda)-calculus is, at heart, a simple notation for functions and application. We characterize -strongly normalizing -terms by means of a non-idempotent intersection type system.
Our work lays the foundation for extending the Give a formulation for contextual types, which can represent open code in a Moreover, Kripke-style substitutions allow us to Plotkin 11 shows that cbn and cbv calculi based on the syntax of. Substitutions on context stacks which brings together two previously separateĬoncepts, structural modal transformations on context stacks and substitutionsįor individual assumptions. We also prove the main rewriting-theoretic properties: confluence and strong normalization. The model construction and the NbE algorithm is the observation of Kripke-style In the lambda calculus, lambda is defined as the abstraction operator. Standard presheaf model of simply typed $\lambda$-calculus. The NbE algorithm is a moderate extension to the
Lambda calculus normalise pdf#
Hu and 1 other authors Download PDF Abstract: We investigate a simply typed modal $\lambda$-calculus, normal' (Lambda var body) Lambda var <> normal' body Hooray (Note that since we're not doing any actual normalization in this step, we don't need to increase the length of the list.) (For the sake of coding convenience, for the final case, we will construct the list of partial terms in reverse order.
Download a PDF of the paper titled A Categorical Normalization Proof for the Modal Lambda-Calculus, by Jason Z.
0 kommentar(er)
