NOTE: The current schedule is tentative and subject to change. Nonetheless it gives an idea of the material to be covered in this course. The lecture notes are seeded from previous years, and will be sporadically updated.
Key to readings: P = Pierce; SF = Software Foundations; M = Mitchell; W = Winskel; K = Krishnamurthi 1st ed.; K2nd = Krishnamurthi 2nd ed.; H = Harper. The readings are not required, but may help your understanding of the lecture material.
The lecture notes here contain material from lecture notes by Stephen Chong, Radu Rugina, Andrew Myers, Nate Foster, Jeff Vaughan, and Christos Dimoulas.
For background material on sets, relations, functions, and induction, see: W 1, H 2, H Appendix, and/or P 2.
| Lec. | Date | Topic | Readings | Notes | Slides | Code | Assignments | Semantics |
|---|---|---|---|---|---|---|---|
| 1 | Tue 28-Jan | Intro to semantics, Proof tools | P 2.4, 3 SF1-Induction,Imp SF2-SmallStep W 2,3,4 H 2 | Dafny
OCaml Coq |
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| 2 | Thu 30-Jan | Small-step semantics | Coq | ||||
| 3 | Tue 4-Feb | Induction | Coq | Assignment 1 released | |||
| 4 | Thu 6-Feb | Large-step semantics | Coq | ||||
| 5 | Tue 11-Feb | IMP: a simple imperative language | Coq | ||||
| 6 | Thu 13-Feb | Denotational semantics | W 5 M 4.3 | Lambda calculus | |||
| 7 | Tue 18-Feb | Lambda calculus | P 5 M 4.2 K 22 | ||||
| 8 | Thu 20-Feb | Lambda calculus encodings and Recursion | livecode | ||||
| 9 | Tue 25-Feb | Definitional translations | OCaml
Racket |
Assignment 1 due Assignment 2 released |
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| 10 | Thu 27-Feb | References and continuations | P 13 M 5,4, 8.3.2 H 29, 36 K 18-20 | OCaml
Racket Scheme |
Types | ||
| 11 | Tue 4-Mar | Simply-typed lambda calculus Type soundness |
P 9 SF2-Stlc SF2-StlcProp M 6.1, 6.2 K 24-26 (P 12) | ||||
| 13 | Thu 6-Mar | More types | P 11, 13 SF2-MoreStlc SF2-References | OCaml | Assignment 2 due | ||
| 12 | Tue 11-Mar | NO CLASS MIDTERM |
Assignment 3 released | ||||
| 14 | Thu 13-Mar | Parameteric Polymorphism, Records and Subtyping | P 23 M 6.4 P 11.8, 15 | No Class (Spring Recess) | |||
| 15 | Tue 25-Mar | Curry-Howard correspondence; Existential types | P 9.4, 24 SF1-ProofObjects | Haskell | |||
| 16 | Thu 27-Mar | Type Inference | P 22 K30 | Prolog | |||
| 17 | Tue 1-Apr | Sub-structural type systems | eg1.rs eg2.rs eg3.rs eg4.rs eg5.rs |
Assignment 3 due Assignment 4 released |
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| 18 | Thu 3-Apr | Algebraic structures | lecture.hs m.hs agediff.hs io.hs state.hs lst.hs walk.hs |
Reasoning About Programs | |||
| 19 | Tue 8-Apr | Axiomatic Semantics and Hoare Logic | SF2-Hoare W 6 (W 7) | hoare.c hoare.dfy factorial.c factorial.dfy factorial2.dfy sum.dfy |
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| 20 | Thu 10-Apr | Dependent types | Twelf
Coq |
Misc. Topics | |||
| 22 | Tue 15-Apr | Guest Lecture | Assignment 4 due Assignment 5 released |
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| 21 | Thu 17-Apr | Logic Programming | M 15 K32-34 | Notebook livecode |
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| 24 | Tue 22-Apr | Concurrency | M 14 | ex1.go ex2.go ex3.go |
Assignment 6 released | ||
| 25 | Thu 24-Apr | Embedded Ethics (Eliza Wells) |
Assignment 5 due | ||||
| 23 | Tue 29-Apr | Guest Lecture | Assignment 6 due | ||||
| TBD TBD-May | FINAL EXAM: May TBD |