From the viewpoint of denotational semantics, algebraic posets are particularly well-behaved, since they allow for the approximation of all elements even when restricting to finite ones.
32.
A sequent calculus for the logic was given, but it lacked a cut-elimination theorem; instead the sense of the calculus was established through a denotational semantics.
33.
An operational semantics for QML is given in terms of quantum circuits, while a denotational semantics is presented in terms of superoperators, and these are shown to agree.
34.
A central question of denotational semantics is to characterize when it is possible to create denotations ( meanings ) according to the equation for "'Denote "'
35.
The primary motivation for the study of domains, which was initiated by Dana Scott in the late 1960s, was the search for a denotational semantics of the lambda calculus.
36.
Denotational semantics concerns itself with finding more appropriate models ( called continuous functions " ( corresponding to continuity in the Scott topology, not continuity in the real analytical sense ).
37.
Scott and Strachey [ 1971 ] proposed that the semantics of programming languages be reduced to the semantics of the lambda calculus and thus inherit the denotational semantics of the lambda calculus.
38.
As a result of CarlHewitt's edits, the article denotational semantics currently gives a highly skewed treatment of the field, doing little justice any researchers not associated with Carl Hewitt.
39.
He was one of the first to realize that the lambda calculus could be used to model a programming language, an insight that is essential to development of both functional programming and denotational semantics.
40.
To formulate such a denotational semantics, one might first try to construct a " model " for the lambda calculus, in which a genuine ( total ) function is associated with each lambda term.
