CS 510: Semantics
3 credits
Text:
I had intended to use Tennent's book: Semantics of Programming Languages, but it appears to be effectively out of print. I am still seeking an appropriate remedy for this situation.
Course Objectives:
- Introduce the concepts of denotational semantics, operational semantics, and a programming logic.
- Relate the three forms of semantics with soundness and consistency proofs.
- Introduce the basic notions of approximation, least fixed point, and complete partial orders.
The syllabus below was prepared assuming two lectures per week, Tu/ Thursday, and that the text would still be in print.
Date |
Lecture |
Topic |
Reading |
4-Jan-05 |
Lecture 1 |
Intro and Overview |
T 1 |
6-Jan-05 |
Lecture 2 |
Mathematical Preliminaries; Logic |
T 2; Prawitz? |
11-Jan-05 |
Lecture 3 |
A Simple Imperative Language |
T 3 (3.1 - 3.4) |
13-Jan-05 |
Lecture 4 |
Operational Semantics |
T 3 (3.5) |
18-Jan-05 |
Lecture 5 |
Hoare Logic |
T 3 (3.6) |
20-Jan-05 |
Lecture 6 |
A Simple Applicative Language |
T 4 (4.1 - 4.4) |
25-Jan-05 |
Lecture 7 |
Properties of the Applicative Language |
T 4 (4.4) |
27-Jan-05 |
Lecture 8 |
Full abstraction of while; Properties of applicative language |
T 4 (4.4) |
1-Feb-05 |
Lecture 9 |
Substitution |
T 4 (4.5.2) |
3-Feb-05 |
Lecture 10 |
Programming Logic; Elementary Domain Theory |
T 5 (4.5, 5.1, 5.2) |
8-Feb-05 |
Lecture 11 |
Continuous Functions |
T 5 (5.1 - 5.3) |
10-Feb-05 |
Lecture 12 |
Least Fixed Point |
T 5 |
15-Feb-05 |
Lecture 13 |
Reasoning about Fixed Points |
T 5 (5.6) |
17-Feb-05 |
Lecture 14 |
Programming Logic; Introducing "Algol" |
T 6 (6.1 - 6.3) |
22-Feb-05 |
Lecture 15 |
Call by Name, Call by Value |
T 6 (6.1 - 6.3) |
24-Feb-05 |
Lecture 16 |
Acceptors, Completions |
T 7 (7.4, 7.5) |
1-Mar-05 |
Lecture 17 |
Completions, Loops and Escapes; Monads |
T 7 |
3-Mar-05 |
Lecture 18 |
Monads, Proper and Non-proper morphisms, continuations |
notes |
8-Mar-05 |
Lecture 19 |
student presentations |
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10-Mar-05 |
Lecture 20 |
student presentations |
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15-Mar-05 |
Final |
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