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.
Note: 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.
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 17th Sep 2019  1. Introduction 
Bundy, Ch. 1 [background] Formal Proof by Tom Hales. [background] Logicomix 
Thu 19th Sep 2019  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 24th Sep 2019  3. Natural Deduction and Starting with Isabelle
— Lecture by Petros Papapanagiotou — Isabelle Theory file for Lecture 3 
H&R Sec 1.2, 1.4 Sec 5.15.7 of Tutorial on Isabelle/HOL (2018) Prop.thy Isabelle theory file 
Thu 26th Sep 2019  4. Propositional Reasoning in Isabelle

Sec 5.15.7 of Tutorial
on Isabelle/HOL (2018) [background] Pollack's How to Believe a MachineChecked Proof [background] How do they verify a verifier of formalized proofs? 

3  Tue 1st Oct 2019  5. Firstorder Logic

H&R Secs 2.12.4
FOL.thy Isabelle theory file [background] Logitext  an interactive Lsystem FOL prover 
Thu 3rd Oct 2019  6. Representation 
Bundy Ch. 4  
4  Tue 8th Oct 2019  7. Introduction to Higher Order Logic in Isabelle 
Sec 1.11.4 of Tutorial
on Isabelle/HOL (2018) N&K Sec 2.12.2 
Thu 10th Oct 2019  8. Representation II: Locales in Isabelle/HOL — Isabelle Theory file for Lecture 8 
Tutorial on Locales (Isabelle 2018) [background] Interpretation of Locales in Isabelle 

5  Tue 15th Oct 2019  9. Isar — A Language for
Structured Proofs — Isar Demo Theory 
The Isabelle/Isar Quick
Reference
Manual N&K Ch. 5 
Thu 17th Oct 2019  10. Coursework: Proving and Reasoning in Isabelle/HOL  See coursework files and coursework slides  
6  Tue 22nd Oct 2019  11. Unification  Bundy, Sec 17.117.4 
Thu 24th Oct 2019  12. Rewriting I  Bundy, Ch. 9 Sec 3.1 of Tutorial on Isabelle/HOL (2018) 

7  Tue 29th Oct 2019  13. Rewriting II  Bundy, Ch. 9 
Thu 31st Oct 2019  14. Inductive Proof (in Isabelle)) — Isabelle Theory file for Lecture 14 
H&R Sec 1.4.2 [background] The Automation of Mathematical Induction 

8  Tue 5th Nov 2019  Coursework Q and A with Teaching Assistant  This will be held as a lab session in Room 7.01, Appleton Tower 
Thu 7th Nov 2019  15. Program Verification using Hoare Logic (I) — 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). 

9  Tue 12th Nov 2019  16. Program Verification using Hoare Logic (II) — Lecture by Petros Papapanagiotou — Isabelle Theory file 

Thu 14th Nov 2019  17. Exam Review 
Past papers (Note: Papers before 201617 also contain material not in the current course): — 201819 — 201718 — 201617 — 201516 — 201415 — 201314 — 201213 — 201112 — 201011 — 200910 — 200809 

10  Tue 19th Nov 2019  No Lecture  
Thu 21st Nov 2019  No Lecture 
Title  Files  Solutions 

Propositional logic  [pdf][thy]  [thy] 
Predicate logic  [pdf][thy]  [thy] 
A riddle: The rich grandfather  [pdf][thy]  See Tutorial 4 
A Bad Axiomatization  [pdf][thy]  [thy] 
There is 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 deadline for the coursework will be 4pm on the 18th of November. The coursework is described in the files below:
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