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This class provides an introduction to functional programming. Functional programming is a style of programming in which computations are solely expressed in terms of applications of functions to arguments (which themselves can be functions). This style of programming has a long history in computer science, beginning with the formulation of the Lambda Calculus as a foundation for mathematics. It has become increasingly popular in recent years because it offers important advantages in designing, maintaining, and reasoning about programs in modern contexts such as web services, parallel (multi-core) programming, and distributed computing. Coursework consists of a series of programming assignments in the Racket , Java, and Haskell programming languages plus occasional and Java followed by a discussion of frameworks for reasoning about functional and imperative programs supported by written homework assignments on underlying theory.

Grading, Honor Code Policy, Processes, and Procedures

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1

Tu

Aug 22

Motivation and the Elements (Constants) of Racket

Skim HTDP First Edition, Part 1 (Ch 1-8), Part 2 (Ch 9-10)

ThAug 24Conditionals, Function Definitions, and Computation by Reduction

2

Tu

Aug 29

Conditionals, Function Definitions, and Computation by Reduction

Homework 1

Review Ch 8

HTDP Part 2 (Ch 9-10)

Sep 04
3ThAug 31

The Program Design Recipe for Racket, which focuses on using

recursion to process lists and natural numbers

Preface, 9.4

HTDP Part 2 (Ch 11-13)


4

Tu

Sep 05

Data Definitions, Data-driven Structural Recursion,

Homework 2

HTDP Part 3

Sep 11
5ThSep 07Mutually Recursive Definitions and Help FunctionsHTDP Ch 15-17

6

Tu

Sep 12

Local Definitions and Lexical Scope

Homework 3

HTDP Parts 5-6

Sep 18

7

Th

Sep 14

Lambda the Ultimate and Reduction Semantics

LawsOfEvaluation

8

TuSep 19


Functional Abstraction and Polymorphism

9

Th

Sep 21

Functions as Values

Homework 4Sep 28

10

Tu

Sep 26

Generative (Non-structural) Recursion


Homework 5 (long)*Oct 11

11

Th

Sep 28

Lazy Evaluation and Non-strict Constructors



12

Tu

Oct 03

Techniques for Implementing Lazy Evaluation



13

Th

Oct 05

A Glimpse at Imperative Racket and Memoization

Sample Exam


Tu

Oct 10

Fall Recess

Sample Exam Key


14

Th

Oct 12

On to Java!

Midterm (Through Lecture 13 and HW 5) 7-10pm

Homework 6

OO Design Notes

 

Oct 18

14

Tu

Oct 17

Adapting the HTDP Design Recipe to Java




15

Th

Oct 19

Higher-order Functional Programming in Java

Homework 7Oct 26

16

Tu

Oct 24

Four Key Idioms for Encoding FP in Java



17

Th

Oct 26

The Singleton and Visitor Patterns

Homework 8Nov 1

18

Tu

Oct 31

Java Generics and Their Role in FP in Java



19

Th

Nov 02

Reasoning About Functional Programs

Homework 9*Nov 8

20

Tu

Nov 07

First-order Programming Logic (an analog of ACL2 [UT Austin])



21

Th

Nov 09

Theorem Proving Strategies

Homework 10
Nov 15

22

Tu

Nov 14

Hoare Logic



23

Th

Nov 16

imperative Loop Invariants vs. Contracts for Help Functions


Homework 11Nov 27
24TuNov 21Reasoning About Procedure Calls

25TuNov 28Hoare Logic Applied to OO Code

26ThNov 30The Future of FP and Programming Logic

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