On this page:
The lectures are given by:
The Teaching Assistant (TA) is:
Demonstrator times:
If you run into difficulties and are not making satisfactory progress then seek help. The earlier you ask for help the more likely it is that your problems can be solved without damaging your performance in the course. This is a challenging course, which introduces you to novel techniques and skills. You are expected to learn them over a short period of time.
To seek help
Various kinds of feedback are provided during the course.
Lectures are held at 15.1016.00 in Semester 1. Details:
The first lecture is on Tuesday 20th September 2016.
Note that there are no lecture notes for the course. Instead, recommended reading is associated with each lecture. This reading is usually from:
There will be one lecture on the coursework assignment to provide some general information and background. Note: These lectures do not necessarily coincide with the handout dates for the assignment sheet. Students should start work on their coursework as soon as they are handed out rather than wait for the lectures, if these come later on.
Please note: At any point of the course, the future schedule gives a strong indication of the topics to be covered. However, some details might change.
Week  Date  Title  Recommended Reading 

1  Tue 20th Sep 2016  1. Introduction  Bundy, Ch. 1 [background] Formal Proof by Tom Hales. [background] Logicomix 
Fri 23rd Sep 2016  2. Propositional Logic and Natural Deduction

H&R Sec 1.1, 1.2, 1.3, start of 1.4 [background] Wadler's Propositions as Types 

2  Tue 27th Sep 2016  3. Natural Deduction and Starting with Isabelle
— Isabelle Theory file for Lecture 3 
H&R Sec 1.2, 1.4 Sec 5.15.7 of Tutorial on Isabelle/HOL Prop.thy Isabelle theory file 
Fri 30th Sep 2016  4. Propositional Reasoning in Isabelle

Sec 5.15.7 of Tutorial
on Isabelle/HOL [background] Pollack's How to Believe a MachineChecked Proof [background] How do they verify a verifier of formalized proofs? 

3  Tue 4th Oct 2016  5. Firstorder Logic

H&R Secs 2.12.4
FOL.thy Isabelle theory file [background] Logitext  an interactive Lsystem FOL prover 
Fri 7th Oct 2016  6. Representation 
Bundy Ch. 4  
4  Tue 11th Oct 2016  7. Introduction to Higher Order Logic in Isabelle 
Sec 1.11.4 of Tutorial
on Isabelle/HOL N&K Sec 2.12.2 
Fri 14th Oct 2016  8. Representation II: Locales in Isabelle/HOL — Isabelle Theory file for Lecture 8 
Tutorial on Locales [background] Interpretation of Locales in Isabelle 

5  Tue 18th Oct 2016  9. Coursework: Proving and Reasoning in Isabelle/HOL  See coursework files 
Fri 21st Oct 2016  10. Isar — A Language for
Structured Proofs — Isar Demo Theory 
The Isabelle/Isar Quick
Reference
Manual N&K Ch. 5 

6  Tue 25th Oct 2016  11. Program Verification using Hoare Logic — Lecture by Petros Papapanagiotou — Isabelle's Hoare Logic library 
H&R Sec 4.14.3 N&K Sec 12.2.1 [background] Reading on Hoare Logic (especially pages 127, 3748). 
Fri 29th Oct 2016  12. Write your own Theorem Prover — Lecture by Phil Scott 
Instructions for obtaining and using the toy LCF prover  
7  Tue 1st Nov 2016  13. Unification  Bundy, Sec 17.117.4 
Fri 4th Nov 2016  14. Rewriting I  Bundy, Ch. 9 Sec 3.1 of Tutorial on Isabelle/HOL 

8  Tue 8th Nov 2016  15. Rewriting II  Bundy, Ch. 9 
Fri 11th Nov 2016  16. Inductive Proof (in Isabelle) — Isabelle Theory file for Lecture 6 
H&R Sec 1.4.2 [background] The Automation of Mathematical Induction 

9  Tue 15th Nov 2016  17. AR Assignment lecture Q&A  
Fri 18th Nov 2016  18. Exam Review 
Past papers (Note: these also contain material not in the current course): — 201516 — 201415 — 201314 — 201213 — 201112 — 201011 — 200910 — 200809 

10  Tue 22nd Nov 2016  19. No Lecture  
Fri 25th Nov 2016  20. No Lecture 
Title  Files 

Propositional logic  [pdf][thy] 
Predicate logic  [pdf][thy] 
A riddle: The rich grandfather  [pdf][thy] 
A Bad Axiomatization  [pdf][thy] 
There will be one item of assessed coursework for this course, which will count for 40% of the overall mark (the other 60% is assessed by exam).
The dates for the coursework are as follows:
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