Automated Reasoning (2016-17): This course is undergoing a major update.

On this page:

Please register your feedback on this course at the Informatics Course Survey.

The lectures are given by:

The Teaching Assistant (TA) is:

Demonstrator times:

Help and Feedback

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.

Lecture Schedule

Lectures are held at 15.10-16.00 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 hand-out 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
Venue: Lecture Theatre 2, 7 Bristo Square
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 5.1-5.7 of Tutorial on Isabelle/HOL
Prop.thy Isabelle theory file
Fri 30th Sep 2016 4. Propositional Reasoning in Isabelle
Sec 5.1-5.7 of Tutorial on Isabelle/HOL
[background] Pollack's How to Believe a Machine-Checked Proof
[background] How do they verify a verifier of formalized proofs?
3 Tue 4th Oct 2016 5. First-order Logic
H&R Secs 2.1-2.4
FOL.thy Isabelle theory file
[background] Logitext - an interactive L-system FOL prover
Fri 7th Oct 2016 6.
4 Tue 11th Oct 2016 7.
Fri 14th Oct 2016 8.
5 Tue 18th Oct 2016 9. Coursework: Proving and Reasoning in Isabelle/HOL
Fri 21st Oct 2016 10.
6 Tue 25th Oct 2016 11.
Fri 29th Oct 2016 12.
7 Tue 1st Nov 2016 13.
Fri 4th Nov 2016 14.
8 Tue 8th Nov 2016 15.
Fri 11th Nov 2016 16.
9 Tue 15th Nov 2016 17.
Fri 18th Nov 2016 18.
10 Tue 22nd Nov 2016 19.
Fri 25th Nov 2016 20.

Tutorials

Each tutorial sheet will be released the week before it's due to take place. Solutions will usually be added the week after that of the tutorial.
Week Title Solutions
3 Tutorial 1: Propositional logic and some Isabelle
4 Tutorial 2

Additional Isabelle Exercises

These are additional self-help exercises for you to familiarize yourself with theorem proving in Isabelle. Note that some of the statements that you're asked to prove may overlap with those in the tutorials.

Acknowledgement: Some of these originate from an annual Isabelle/HOL lab course taught at the Technische Universit√§t M√ľnchen.

Title Files
Propositional logic [pdf][thy]
Predicate logic [pdf][thy]
A riddle: The rich grandfather [pdf][thy]

Software

Useful Resources

Assessment and Coursework

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:

Coursework


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