CS 4301: Programming Language Design and Analysis

Course Information

Title: CS 6371: Advanced Programming Languages
Course Registration Number: 27802/015109
Times: TR 1:00–2:15
Location: AD 2.216
Instructor: Dr. Kevin Hamlen (hamlen AT utdallas)
Instructor's Office Hours: TR 2:30–3:30 (ECSS 3.704)

Course Summary

This course covers functional and logic programming, concepts of programming language design, and formal reasoning about programs and programming languages. The following are the course learning objectives:

  1. Practice of Functional Programming (ML/OCaml): Students will learn to implement software in a functional programming style that leverages recursion and list-folding for loops, and immutable variables for program state.
  2. Practice of Logic programming (Prolog): Students will learn to implement search-based algorithms using a logic programming style that leverages backtracking and term unification to make progress through a search space.
  3. Small-step and large-step operational semantics: Students will learn how to reason mathematically about computer programs using deductive logic extended with computational axioms.
  4. Denotational semantics: Students will learn how to reason mathematically about computer programs using sets and functions.
  5. Program-proof co-development: Students will learn how to use machine-checked tools for formally verifying program properties.
  6. Simply typed static semantics: Students will learn how to use the mathematics of types to verify program properties.
  7. Untyped and typed lambda calculi: Students will learn how to encode functions and simple types as the mathematics of the lambda calculus, and use it to reason about functional programs.
  8. Partial evaluation: Students will learn to leverage the types and semantics of first-class functions to reduce code bloat and write high assurance software.

Through taking this course, students will learn the use of functional and logic programming for high assurance software development and analysis, issues involved in designing a programming language, the role of formal semantics and type-systems in reasoning about programs and languages, and the practice of program-proof co-development.

The course is open to undergraduate students students.

Prerequisite: Programming Language Paradigms (CS 4337).

To Prepare for the Course...

The first three classes are extremely important for succeeding in the remainder of the course; students are therefore urged to participate in the course from the start, by attending the first three classes in person. These initial classes will cover functional programming in the OCaml programming language, which will introduce many concepts assumed throughout the rest of the course.

To better understand the in-class OCaml demos, you should do the following as preparation:

Using OCaml from the UTD Server

If you can't get OCaml to work on your personal machine, you can use OCaml on the UTD CS Department Linux servers. To do so:

Grading

Homework (25%): Homeworks will be assigned approximately once per 1.5 weeks, and will consist of a mix of programming assignments and written assignments. Programming assignments will be implemented in OCaml or Prolog. Written assignments will typically involve discrete math proofs. Homeworks must be turned in at the start of class (i.e., by 1:05pm) on the due date. To help students prepare for the next assignment, homework solutions will typically be revealed on each due date. Therefore, no late homeworks will be accepted.

Quizzes (15%): On indicated assignment due dates (see the course schedule below), students will solve one or two problems individually at the start of class as a quiz. The quiz problems are essentially extra homework problems solved individually in class without the help of the internet or collaboration with other students. The quizzes will be closed-book and closed-notes.

Midterm (25%): There will be an in-class midterm exam in class on Thursday, March 9th. The exam will cover functional programming, operational semantics, denotational semantics, and fixpoints.

Final (35%): A final exam for the course will be scheduled by the university registrar. The exam will be cumulative, covering all material in the course. Students will have 2 hours and 45 minutes to complete it.

Homework Policy

Students may work individually or together with other students presently enrolled in the class to complete the assignments, but they must CITE ALL COLLABORATORS AND ANY OTHER SOURCES OF MATERIAL that they consulted, even if those sources weren't copied word-for-word. Copying or paraphrasing someone else's work without citing it is plagiarism, and may result in severe penalties such as an immediate failing grade for the course and/or expulsion from the computer science program. Therefore, please cite all sources!

Students may NOT consult solution sets from previous semesters of this course, or collaborate with students who have such solutions. These sources are off-limits because such "collaborations" tend to involve simply copying or reverse-engineering someone else's answer to a similar homework problem, which does not prepare you for the quizzes and exams.

Texts

The course has no required textbook, but we will make use of several online references:

Tentative Course Schedule

Date Topic Assignments
Functional Programming
No Class:
Tue 1/16
University closure (weather emergency) Assignment 1 due 1/30
(OCaml Intro)
Lecture 1:
Thu 1/18
Course Introduction: Functional vs. Imperative programming, type-safe languages, intro to OCaml
Lecture Slides
OCaml Transcript
Lecture Notes
Lecture 2:
Tue 1/23
OCaml: Parametric polymorphism
OCaml Transcript
Lecture Notes
Lecture 3:
Thu 1/25
OCaml: List folding, tail recursion, exception-handling
Lecture Notes
Operational Semantics
Lecture 4:
Tue 1/30
Large-step Semantics: Intro
Lecture Slides
Assignment 2 due 2/8
(SIMPL Interpreter)
No Class:
Thu 2/1
Class canceled
Lecture 5:
Tue 2/6
Large-step Semantics: Proof techniques
Lecture Slides
Structural Induction Proof Examples
Lecture 6:
Thu 2/8
Small-step Semantics
Lecture Slides
Small-step Semantics Reference
Quiz #1: OCaml Programming
Assignment 3 due 2/20
(Operational Semantics)
Denotational Semantics
Lecture 7:
Tue 2/13
Denotational Semantics: Semantic domains and valuation functions
Lecture Slides
Denotational Semantics Reference
Lecture 8:
Thu 2/15
Fixed-point Induction
Lecture Slides
Supplementary Notes on CPOs
Lecture 9:
Tue 2/20
Fixed-point Induction: Theorem Generalization
Quiz #2: Operational Semantics
Assignment 4 due 2/29
(Coq Intro)
Lecture 10:
Thu 2/22
Program-proof Co-development: Intro to Coq
Coq Transcript
Lecture 11:
Tue 2/27
Semantic Equivalence
Lecture Slides
Coq Listing
Type Theory
Lecture 12:
Thu 2/29
Type Theory: Static Semantics
Lecture Slides
Quiz #3: Coq
Lecture 13:
Tue 3/5
Midterm Review
Sample Midterm Exam w/Solutions
Assignment 5 due 3/19
(SIMPL Type-checker)
Midterm:
Thu 3/7
Midterm Exam
No Class:
Tue 3/12
No Class: Spring break
No Class:
Thu 3/14
No Class: Spring break
Untyped & Simply-typed Lambda Calculus
Lecture 14:
Tue 3/19
Untyped Lambda Calculus: History, Semantics, Completeness
Lecture Slides
Assignment 6 due 3/28
(Lambda calculus)
Lecture 15:
Thu 3/21
Type Safety: Progress, Preservation, Subtyping
Lecture Slides
Supplementary Lecture Notes
Coq Listing
Quiz #4: Type Theory
Logic Programming
Lecture 16:
Tue 3/26
Logic Programming: Part I
Lecture Slides
Lecture 17:
Thu 3/28
Logic Programming: Part II
Quiz #5: Lambda Calculus
Lecture Slides
Assignment 7 due 4/9
(Prolog)
Lecture 18:
Tue 4/2
Logic Programming: Part III
Lecture Slides
System F
Lecture 19:
Thu 4/4
System F: Syntax & Sematics
Lecture Slides
Lecture Notes
Lecture 20:
Tue 4/9
Curry-Howard Isomorphism: Type-inhabitation
Lecture Slides
Lecture Notes
Quiz #6: Prolog
Assignment 8 due 4/23
(Functional SIMPL)
Lecture 21:
Thu 4/11
Summary/Comparison of Modern Language Features: Hindley-Milner type-inference, type polymorphism
Lecture Slides
Lecture Notes
Lecture 22:
Tue 4/16
Summary/Comparison of Modern Language Features: Weak vs. strong typing, type-safety, function evaluation strategies
Lecture Slides
Formal Verification
Lecture 23:
Thu 4/18
Axiomatic Semantics: Hoare Logic
Lecture Slides
C.A.R. Hoare's original 1969 paper on Axiomatic Semantics (optional reading)
Lecture 24:
Tue 4/23
Axiomatic Semantics: Loop invariants
Lecture Slides
Assignment 9 due 5/2
(Automated Theorem Proving)
Lecture 25:
Thu 4/25
Axiomatic Semantics: Weakest precondition, strongest postcondition
Lecture 26:
Tue 4/30
Final Review
Sample Final Exam w/Solutions
Lecture 27:
Thu 5/2
Final Review
Quiz #7: TBA
Final Exam
Tue 5/7
Final Exam: 2:00–4:45pm in ECSW 3.210