This Galois Tech Talk was held on Tuesday September 16th, 10.30am, with John Harrison, Principal Engineer at Intel, talking about theorem proving for formal verification. (You can also check out his Handbook of Practical Logic and Automated Reasoning). (.pdf slides, proof demo)

Abstract

The theorem proving approach to verification involves modelling a system in a rich formalism such as higher-order logic or set theory, then performing a human-driven interactive correctness proof using a proof assistant. In a striking contrast, techniques like model checking, by limiting the user to a less expressive formalism (propositional logic, CTL etc.), can offer completely automated decision methods, making them substantially easier to use and often more productive. With this in mind, why should one be interested in the theorem proving approach? In this tutorial I will explain some of the advantages of theorem proving, showing situations where the generality of theorem proving is beneficial, allowing us to tackle domains that are beyond the scope of automated methods or providing other important advantages. I will talk about the state of the art in theorem proving systems and and give a little demonstration to give an impression of what it’s like to work with such a system.

Galois has been holding weekly technical seminars for several years on topics from functional programming, formal methods, compiler and language design, to cryptography, and operating system construction, with talks by many figures from the programming language and formal methods communities. The talks are open and free.

The next Galois Tech Talk will be Tuesday September 9th, 10.30am, with Lee Pike, talking about how to visually present proofs and formal notation.(.pdf slides):Abstract

To the typical engineer or evaluator, mathematics can be scary, logic can be scarier, and really long specifications can simply be overwhelming. This talk is about the problem of the visual presentation of formal specifications clearly and concisely. We take as our initial inspiration Leslie Lamport’s brief papers, “How to Write a Long Formula” and “How to Write a Proof” in which he proposes methods for writing the long and tedious formulas and proofs that appear in formal specification and verification.I will describe the problem and present one particular solution, as implemented in a simple pretty-printer I’ve written (in Haskell), that uses indentation and labels to more easily visually parse long formulas. Ultimately, I propose a “HOL Normal Form” for presenting specifications, much like BNF is used for presenting language definitions.

Galois has been holding weekly technical seminars for several years on topics from functional programming, formal methods, compiler and language design, to cryptography, and operating system construction, with talks by many figures from the programming language and formal methods communities. The talks are open and free.