Lambda the Ultimate

inactiveTopic Domains and Denotational Semantics: History, Open Problems
started 3/6/2003; 7:00:42 AM - last post 3/6/2003; 7:00:42 AM
Ehud Lamm - Domains and Denotational Semantics: History, Open Problems  blueArrow
3/6/2003; 7:00:42 AM (reads: 1393, responses: 0)
Domains and Denotational Semantics: History, Open Problems
M. P. Fiore and A. Jung and E. Moggi and P. O'Hearn and J. Riecke and G. Rosolini and I. Stark. Domains and Denotational Semantics: History,Accomplishments and Open Problems. Bulletin of EATCS, 1996, vol. 59, 227--256

In this collection we try to give an overview of some selected topics in Domain Theory and Denotational Semantics. In doing so, we first survey the mathematical universes which have been used as semantic domains. The emphasis is on those ordered structures which have been introduced by Dana Scott in 1969 and which figure under the name (Scott-) domains. After surveying developments in the concrete theory of domains we describe two newer developments, the axiomatic and the synthetic approach. In the second part we look at three computational phenomena in detail, namely, sequential computation, polymorphism, and mutable state, and at the challenges that these pose for a mathematical model.

Long and dense, but surveys a set of important foundational problems.


Posted to theory by Ehud Lamm on 3/6/03; 7:01:05 AM