vmarkushin / csclub-coq-course-spring-2021

A course on formal verification at https://compsciclub.ru/en, Spring term 2021

Introduction to Formal Verification course at CS Club

Building HTML files locally

• Setup Alectryon using its installation instructions and add it to your PATH. (You need Alectryon at commit df5664e71c1026af4aaf69e6b227d427a728e7c6 or newer).
• Run make or make doc in the project root directory.

Classes

Class 1

• Intro to formal verification slides
• Intro to functional programming in Coq: source, rendered
• No seminar
• Homework: hw01.v

Class 2

• Polymorphic functions & Dependent functions, Implicit Arguments, Notations, Product types and sum types: source, rendered
• Seminar: seminar01.v
• Homework: hw02.v

Class 3

• Defining logic, equality. Dependent pattern matching: source, rendered
• Seminar: seminar02.v
• Homework: hw03.v

Class 4

• Injectivity and disjointness of constructors, large elimination. Convoy pattern. Proofs by induction. Prop vs Type: source, rendered
• Seminar: seminar03.v
• Homework: hw04.v

Class 5

• SSReflect tactic language source, rendered
• Seminar: seminar04.v
• Homework: hw05.v

Class 6

• Proofs by induction: source, rendered
• SSReflect proof methodology slides
• Seminar: seminar05.v
• Homework: hw06.v

Class 7

• Views. reflect-predicate. Multi-rewrite rules: source, rendered
• Seminar: seminar06.v
• Homework: hw07.v

Class 8

• Canonical Structures & Hierachies slides
• Canonical Structures & Hierachies: demo (source), demo (rendered)
• Seminar: seminar07.v
• Homework: hw08.v

Class 9

• Verification of insertion sort and merge sort. Non-structurally recursive functions. Nested fix pattern. Program plugin. Acc-predicate. source, rendered
• Seminar: seminar08.v
• Homework: hw09.v

Class 10

• A potpourri of tools: automation (linear integer arithmetic, hammers), Equations plugin, property based randomized testing, mutation proving, extraction source, rendered
• Seminar: seminar09.v
• Homework: no homework

Awesome exercise solutions by class participants

• unit_neq_bool solution and generalization by @kana-sama
• A compiler from a language of arithmetic expressions to a stack language: solution and generalization by @kana-sama