Fundamentals of Program Analysis

Lecture Notes

SES #	TOPICS
Unit 1: Intro to Functional Programming & Operational Semantics
1	Introduction to Functional Programming and Types (PDF - 2.8MB)
2	Lambda Calculus (PDF)
3	Big-Step vs. Small-Step Semantics and the λLet Calculus (PDF)
4	Coq Crash Course (Examples in Operational Semantics) (PDF)
Unit 2: Type Theory
5	Introduction to Simple Types (PDF) Coq Examples (V)
6	Hindley-Milner Type Inference and Polymorphic Types (PDF)
7	Algebraic Data Types & Their Ingredients: Product, Sum, and Recursive Types (PDF)
8	Type Classes and Subtyping (PDF)
Unit 3: Types for Imperative Programs
9	Monads (PDF)
10	Typing of Imperative Programs (PDF)
11	Verification of Complex Properties with Types: From Information Flow to Race Detection (PDF)
Unit 4: Axiomatic Semantics
12	Intro to Axiomatic Semantics (PDF)
13	Verification Condition Generation (PDF)
14	Total Correctness and Termination (PDF)
15	Separation Logic (PDF)
16	Axiomatic Semantics for Concurrency: Rely-Guarantee & Concurrent Separation Logic (PDF)
Unit 5: Abstract Interpretation
17	Dataflow Analysis, Lattices, Fixed Points (PDF)
18	Abstract Interpretation, Galois Connections (PDF)
19	Abstract Interpretation, Galois Connections (cont.) (PDF)
20	The Heap: Inferring Loop Invariants about Data Structure Shape (PDF - 1.1MB)
Unit 6: Model Checking
21	Intro to Models and Properties (PDF)
22	Temporal Logic (PDF - 1.1MB)
23	Explicit State Model Checking (PDF)
24	Symbolic Model Checking (PDF)
25	Software Model Checking with Abstraction Refinement (PDF - 1.4MB)
26	From Model Checking to Synthesis (PDF - 1.1MB)