Normal functors, power series and λ-calculus
نویسندگان
چکیده
منابع مشابه
On the discriminating power of tests in resource λ-calculus
Since its discovery, differential linear logic (DLL) inspired numerous domains. In denotational semantics, categorical models of DLL are now commune, and the simplest one is Rel, the category of sets and relations. In proof theory this naturally gave birth to differential proof nets that are full and complete for DLL. In turn, these tools can naturally be translated to their intuitionistic coun...
متن کاملRational Homotopy Calculus of Functors
of “Rational Homotopy Calculus of Functors” by Ben C. Walter, Ph.D., Brown University, July 2005. We construct a homotopy calculus of functors in the sense of Goodwillie for the categories of rational homotopy theory. More precisely, given a homotopy functor between any of the categories of differential graded vector spaces (DG), reduced differential graded vector spaces, differential graded Li...
متن کاملCalculus of Functors and Configuration Spaces
This is a summary of a talk given at the Conference on Pure and Applied Topology on the Isle of Skye from June 21-25, 2005. The author would like to thank the organisers of the conference for a fantastic week and for the opportunity to present the following work. We describe a relationship between Goodwillie’s calculus of homotopy functors and configuration spaces. In [3], we showed that the Go...
متن کاملThe structural λ-calculus
Inspired by a recent graphical formalism for λ-calculus based on Linear Logic technology, we introduce an untyped structural λ-calculus, called λj, which combines action at a distance with exponential rules decomposing the substitution by means of weakening, contraction and dereliction. Firstly, we prove fundamental properties such as confluence and preservation of β-strong normalisation. Secon...
متن کاملIntersection Typed λ - calculus
The aim of this paper is to discuss the design of an explicitly typed λ-calculus corresponding to the Intersection Type Assignment System (IT ), which assigns intersection types to the untyped λ-calculus. Two different proposals are given. The logical foundation of all of them is the Intersection Logic IL.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1988
ISSN: 0168-0072
DOI: 10.1016/0168-0072(88)90025-5