Sentence examples for in simple type from inspiring English sources

In simple type theory, all propositions have the same type.

This example again illustrates that we can formulate impredicative definitions in simple type theory.

In simple type theory, the free variables in defining formulas range over entities to which the collection to be defined do not belong.

Given (1) and (2) we should have a type of propositions (as in simple type theory), and given (3) this should also be the type of all types.

The top slat, which even in simple types was usually larger than the others and was sometimes pierced for ease of handling, became richly ornamented.

In simple types of congenital heart disease the atrial and ventricular arrangement and the ventriculo-arterial junction are normal and the CHD type is then only determined by the extracardiac malformations including anomalies of pulmonary venous return, septal defects, coronary anomalies or anomalies of the aortic arch.

In summary, simple type theory forbids self-application but not the circularity present in impredicative definitions.

In the example above, type variable (a) in ((F,a,b,O, a Rightarrow b) occurs in the set of constraints (({ F,a,b, O, a})) but not in the simple type ((b)).

On the basis of his axiom and several rules of inference, Leśniewski developed a powerful system of general logic comparable in strength to a simple type theory: he writes in 1929, "In 1921 I developed my 'theory of types' It was something like Whitehead's and Russell's theory of types, which I had generalised and simplified in a certain way" (Collected Works, 421).

In the most simple type of fortification, the initial fermentation is allowed to proceed nearly to, or all the way to, completion.

In particular, consider a simple type of particle, a monopole (unstructured) particle.