Course Webpage for B522 Programming Language Foundations, Spring 2020, Indiana University
Indiana University, Spring 2020
In this course we study the mathematical foundations of programming languages. That is, how to define programming languages and how to reason about those languages and programs written in them. The course will use the online textbook
Programming Language Foundations in Agda (the beta version)
Agda is a proof assistant and a dependently typed language. No prior knowledge of Agda is assumed; it will be taught from scratch. Prior knowledge of another proof assistant or dependently typed language is helpful but not necessary.
Prof. Jeremy Siek, Luddy 3016, jsiek@indiana.edu
Monday and Wednesday at 4:30-5:45pm in Luddy Hall Room 4101.
January 20: Exercises Bin
(in Naturals) and
Bin-laws
(in Induction).
January 27: Exercises Bin-predicates
(in Relations) and
Bin-embedding
(in Isomorphism).
February 3: Exercises
⊎-weak-×
(in Connectives),
⊎-dual-×
(in Negation),
∃-distrib-⊎
,
∃¬-implies-¬∀
,
Bin-isomorphism
(in Quantifiers).
February 10: Exercises
_<?_
,
iff-erasure
(in Decidable),
foldr-++
,
foldr-∷
, and
Any-++-⇔
(in List).
Month | Day | Topic |
---|---|---|
January | 13 | Naturals & Induction |
15 | Relations | |
16 | Equality & Isomorphism (unusual day, regular time) | |
27 | Connectives & Negation | |
28 | Quantifiers & Decidable (unusual day, regular time) | |
29 | Lists and higher-order functions | |
February | 3 | Lambda the Simply Typed Lambda Calculus |
5 | Properties such as type safety | |
10 | DeBruijn representation of variables | |
12 | More constructs: numbers, let, products (pairs), sums, unit, empty, lists | |
17 | Inference bidirectional type inference | |
19 | Untyped Lambda Calculus | |
24 | Confluence of the Lambda Calculus | |
26 | BigStep Call-by-name Evaluation of the Lambda Calculus | |
March | 2 | Denotational semantics of the Lambda Calculus |
4 | Compositional | |
9 | Soundness | |
11 | Adequacy | |
16 | ContextualEquivalence | |
18 | References and the Heap | |
23 | Subtyping and Records | |
25 | Classes and Objects (Featherweight Java) | |
30 | Gradual Typing | |
April | 1 | Universal and Existential Types (Parametric Polymorphism) |
6 | Hindley-Milner Inference | |
8 | Recursive Types | |
13 | Intersection and Union Types | |
15 | Higher-Order Polymorphism | |
20 | Dependent Types | |
22 | TBD | |
27 | TBD | |
29 | TBD |
Join the course mailing list on Piazza.
Join the PLFA mailing list plfa-interest and ask questions!