# Topics #
These topics are organized in two ways: by their content, and by the
week in which they were introduced.
## Topics by content ##
* [[What is computation?|topics/week3_what_is_computation]]
* [[Kaplan on Plexy|topics/week6_plexy]]
* Functional Programming
* [[Introduction|topics/week1 kapulet intro]]
* [[Week 1 Advanced notes|topics/week1 kapulet advanced]]
* [["Rosetta Stone" page #1 for Kaupulet, Scheme, OCaml, Haskell|rosetta1]]
* Offsite links for help on [[learning Scheme]], [[OCaml|learning OCaml]], and [[Haskell|learning Haskell]]
* [[List Comprehensions|topics/week3 lists#comprehensions]]
* [[Unit and its usefulness|topics/week3 unit]]
* More tips on using Scheme
* Types in OCaml and Haskell (will be posted someday)
* Practical advice for working with OCaml and/or Haskell (will be posted someday)
* [[Kaplan on Plexy|topics/week6_plexy]] and the Maybe type
* Untyped lambda evaluator ([[in browser|code/lambda_evaluator]]) ([[for home|topics/week7_untyped_evaluator]])
* Order, "static versus dynamic"
* [[Order in programming languages and natural language|topics/week1 order]]
* [[Reduction Strategies and Normal Forms in the Lambda Calculus|topics/week3_evaluation_order]]
* [[Unit and its usefulness|topics/week3 unit]]
* Combinatory evaluator ([[for home|topics/week7_combinatory_evaluator]])
* The Untyped Lambda Calculus
* [[Introduction to the Lambda Calculus|topics/week2 lambda intro]]
* [[Advanced notes on the Lambda Calculus|topics/week2 lambda advanced]]
* Encoding data types in the Lambda Calculus
* [[Booleans|topics/week2 encodings#booleans]]
* [[Tuples|topics/week2 encodings#tuples]]
* [[Lists|topics/week2 encodings#lists]], v1 (as right-folds)
* [[Numbers|topics/week2 encodings#numbers]], v1 ("Church's encoding")
* [[Arithmetic with Church numbers|topics/week3_church_arithmetic]]
* [[How to get the `tail` of v1 lists?|topics/week3 lists#tails]]
* [[Some other list encodings|topics/week3 lists#other-lists]]
* [[Reduction Strategies and Normal Forms|topics/week3_evaluation_order]]
* [[Fixed point combinators|topics/week4_fixed_point_combinators]]
* [[More about fixed point combinators|topics/week4_more_about_fixed_point_combinators]]
* Untyped lambda evaluator ([[in browser|code/lambda_evaluator]]) ([[for home|topics/week7_untyped_evaluator]])
* [[Environments and Closures|topics/week7_environments_and_closures]]
* Combinatory logic
* [[Introduction|topics/week3 combinatory logic]]
* Combinatory evaluator ([[for home|topics/week7_combinatory_evaluator]])
* Typed Lambda Calculi
* [[Simply-typed lambda calculus|topics/week5 simply typed]] (will be updated)
* [[System F|topics/week5 system F]] (will be updated)
* Types in OCaml and Haskell (will be posted someday)
* see also Monads links, below
* Monads
* [[Introducing Monads|topics/week7_introducing_monads]]
* [[Safe division with monads|topics/week8_safe_division_with_monads]]
## Topics by week ##
Week 1:
* [[Order in programming languages and natural language|topics/week1 order]]
This discussion considers conjunction in a language that recognized presupposition failure.
* [[Introduction to functional programming|topics/week1 kapulet intro]]
Basics of functional programming: `let`, `case`, pattern matching, and
recursion. Definitions of factorial.
* [[Advanced notes on functional programming|topics/week1 kapulet advanced]]
* [[Homework for week 1|exercises/assignment1]] ([[Answers|exercises/assignment1_answers]])
Week 2:
* [[Introduction to the Lambda Calculus|topics/week2 lambda intro]]
* [[Advanced notes on the Lambda Calculus|topics/week2 lambda advanced]]
* [[Encoding Booleans, Tuples, Lists, and Numbers|topics/week2 encodings]]
* [[Homework for week 2|exercises/assignment2]] ([[Answers|exercises/assignment2_answers]])
Week 3:
* [[Arithmetic with Church numbers|topics/week3_church_arithmetic]]
* [[More on Lists|topics/week3 lists]]
Introduces list comprehensions, discusses how to get the `tail` of lists in the Lambda Calculus, and some new list encodings
* [[What is computation?|topics/week3_what_is_computation]]
* [[Reduction Strategies and Normal Forms|topics/week3_evaluation_order]] (posted on Monday 23 Feb)
* [[Unit and its usefulness|topics/week3 unit]]
* [[Combinatory Logic|topics/week3 combinatory logic]]
* [[Homework for week 3|exercises/assignment3]] ([[Answers|exercises/assignment3_answers]])
Week 4:
* [[Fixed point combinators|topics/week4_fixed_point_combinators]]
* [[More about fixed point combinators|topics/week4_more_about_fixed_point_combinators]]
* Towards types (in progress)
* [[Homework for week 4|exercises/assignment4]] ([[Answers|exercises/assignment4_answers]])
Week 5:
* [[Simply-typed lambda calculus|topics/week5 simply typed]]
* [[System F|topics/week5 system F]]
* Types in OCaml and Haskell (will be posted someday)
* Practical advice for working with OCaml and/or Haskell (will be posted someday)
* [[Homework for weeks 5 and 6|exercises/assignment5]] ([[Answers|exercises/assignment5_answers]])
Week 6:
* [[footnote about "Plexy"|readings/kaplan-plexy.pdf]] from Kaplan's *Demonstratives* about Plexy; [[our notes|topics/week6_plexy]] comparing to the Maybe type
* (Recommended) [[King's discussion of Schiffer|readings/king-on-schiffer.pdf]] in Chapter 4 of *The Nature and Structure of Content* (2007)
* (Recommended) [[King's discussion of clausal complements and proposition-designators|readings/king-on-logicism.pdf]] from Chapter 5 of *The Nature and Structure of Content* (2007)
* Michael Rieppel, "[[Being Something: Properties and Predicative Quantification|readings/rieppel-beingsthg.pdf]]"
Week 7:
* [[Combinatory evaluator|topics/week7_combinatory_evaluator]]
* [[Introducing Monads|topics/week7_introducing_monads]] (updated Mon 23 Mar)
* [[Homework for week 7|exercises/assignment7]] (updated Mon 23 Mar)
* [[Environments and Closures|topics/week7_environments_and_closures]]
* [[Untyped lambda evaluator|topics/week7_untyped_evaluator]]
Week 8:
* [[Safe division with monads|topics/week8_safe_division_with_monads]]