Sentence examples for calculus construction from inspiring English sources

In this first part of the calculus construction, parametrices are found for "fully elliptic differential a-operators," which are uniformly elliptic operators on these manifolds that satisfy an additional invertibility condition at infinity.

We collect here some important facts concerning symbolic calculus and the construction of parametrices for operators with symbols in (Gamma _{A_p,rho }^{*,infty }(mathbb R^{2d})).

The formal specifications of hypermaps and segmentation are developed in the Calculus of Inductive Constructions.

Formal specifications and proofs are carried out in the Calculus of Inductive Constructions and its implementation: the Coq system.

The fairly general setting for this paper is a formal development of a UNITY-style temporal logic for labeled transition systems in the calculus of inductive constructions which has been conducted using the Coq proof assistant in a formally rigorous way.

It has also been used to explore and implement computational type theory (CTT a formal theory of computation closely related to Martin-Löf's intuitionistic type theory (ITT) and to the calculus of inductive constructions (CIC) implemented in the Coq prover.

Later Coquand (1986) proved that certain extensions of the calculus C of constructions are inconsistent.

Coq is a proof assistant based on the calculus of inductive constructions (CIC) [5], a higher order typed (lambda )-calculus extended with inductive definitions.

But the usefulness of arithmetics is not limited to the construction of calculus; we believe there is a more fundamental reason for considering alternative arithmetics.

The book begins with the description of implicit surfaces and their basic properties, and then devises the level set geometry and calculus toolbox, including the construction of signed distance functions.

Applications are shown to the decomposition of Dirichlet forms and to the construction of differential calculus on metric spaces.