Semantics and Domain Theory

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Semantics and Domain Theory


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Introduction

Denotational Semantics is about assigning a mathematical meaning to syntax (in particular, that of programming languages) which is, in some sense, independent of how the syntax is presented, or what computational rules it may obey (which are properly the subject matter of Operational Semantics).

Domain Theory is the mathematics of the objects, sets-with-structure, and mappings between them, which serve as a vehicle for denotational semantics.

Structure

The course is divided roughly into 3 parts:

  • Introduction to Denotational Semantics
  • Operational and Denotational Semantics of PCF
  • Advanced topics