From the course catalog:
A combined course on functional programming and formal proof. Students write programs over a variety of data structures, proving their programs correct with respect to precise logical specifications. Programming topics (and proof topics) range over: recursion (induction); combinatorics; algebraic data types, from lists to trees to abstract syntax trees (structural induction); parsers and interpreters (soundness properties); regular expressions (set theory and language theory).
Prerequisites: CSCI051 PO or equivalent (e.g., 4 or 5 on AP CS exam). Please see the syllabus for more information.
Textbook
We’ll be using an experimental new volume of Software Foundations, which we're calling for now Discrete Math in Coq. Name suggestions are welcome!
Lectures
| Date | Lecture | Notes | |
|---|---|---|---|
| 1 | Jan. 21 | Basics (Formal) (.v file) (Informal) | |
| 2 | Jan. 23 | Basics | Truth tables practice sheet |
| 3 | Jan. 28 | Basics | Basics (Formal) and (Informal) due Thursday at 1 PM |
| 4 | Jan. 30 | Induction (Formal) (HTML) (.v file) (Informal) | You can create a _CoqProject file with no file extension (in emacs might be easiest) with the contents -Q . DMFP, then automatic compilation should work next time you open Induction.v. If it doesn't, go ahead and open up Induction.v in Emacs. Now type M-! coqc -Q . DMFP Basics.v RET, i.e. use the M-! keyboard shortcut, then type coqc -Q . DMFP Basics.v and hit return. |
| 5 | Feb. 4 | Induction | Induction practice sheet |
| 6 | Feb. 6 | Induction | |
| 7 | Feb. 11 | Induction | |
| 8 | Feb. 13 | Lists (Formal) (HTML) (.v file) (Informal .tex file) | Induction (Formal) and (Informal) due at 1pm |
| 9 | Feb. 18 | Lists | |
| 10 | Feb. 20 | Poly (Formal) (HTML) (.v file) (Informal .tex file) | |
| 11 | Feb. 25 | Poly | Lists (Formal) and (Informal) due at 1pm |
| 12 | Feb. 27 | Poly | |
| 13 | Mar. 3 | Tactics (Formal) (HTML) (.v file) (Informal .tex file) | |
| 14 | Mar. 5 | Tactics | Poly (Formal) and (Informal) due at 1pm |
| 15 | Mar. 10 | Review | |
| 16 | Mar. 12 | Midterm | |
| Mar. 17 | Spring break | ||
| Mar. 19 | Spring break | ||
| 17 | Mar. 24 | Spring break 2: Too Spring, Too Break | |
| 18 | Mar. 26 | Spring break 3: Pomona Drift | |
| 19 | Mar. 31 | Logic (Formal) (HTML) (.v file) (Informal .tex file) | how to prove it sheet |
| 20 | Apr. 2 | Logic | Tactics (Formal) (.v file) and (Informal) due Friday at 7pm |
| 21 | Apr. 7 | IndProp (Formal) (HTML) (.v file) (Informal .tex file) | |
| 22 | Apr. 9 | IndProp | Logic (Formal) (.v file) and (Informal) due Friday at 7pm |
| 23 | Apr. 14 | Sort (Formal) (HTML) (.v file) | |
| 24 | Apr. 16 | Sort | IndProp (Formal) (.v file) and (Informal) due Friday at 7pm |
| 25 | Apr. 21 | Combinatorics (Formal) (HTML) (.v file (just for reading!)) (Informal) | |
| 26 | Apr. 23 | Combinatorics | Sort (Formal) (.v file) due at Friday at 7pm (no informal!) |
| 27 | Apr. 28 | Countability | |
| 28 | Apr. 30 | Graphs | Combo (Informal) due Friday at 7pm |
| 29 | May 5 | Trees | Discrete (Informal) due Friday at 7pm |
| Final | May 13, 9am–9pm PT (GMT-07:00) | Final Exam | You will have twelve (12) hours to complete the final exam. It is open book. The exam is designed to take about 2.5 hours to complete. If alternate arrangements are necessary, you must contact us by Friday, May 9th. Students who do not turn in a final exam will be given an incomplete (I), which will turn into a "no record, pandemic" (NRP) if the course is not completed by the Fall. |