Logic, Proof and Computation


 

 

Welcome to the support page for the text Logic, Proof and Computation 3rd edition; henceforth LPC.

What is in the Book?

Beginning with a review of formal languages and their syntax and semantics, LPC conducts a computer assisted course in formal reasoning and the relevance of logic to mathematical proof, information processing and philosophy.

Topics covered include formal grammars, semantics of formal languages, sequent systems, truth-tables, propositional and first order logic, identity, proof heuristics, regimentation, set theory, Tarski’s semantic theory of truth, databases, modal logic, possible world semantics, Herbrand’s proof, automated deduction, proof by induction, model theory and Skolem’s paradox, Turing machines, undecidability and a computer illustration of the reasoning underpinning Gödel’s incompleteness proof.

Logic proofs for the student are supported by computer-assisted proofs and the programs are freely available from this page. LPC is designed as a multidisciplinary reader for students in computing, philosophy and mathematics.

LPC3

How to Get the Book?

Currently review copies of LPC are available from the Great British Bookshop. The distribution extends to the UK, the EC countries and the USA. You may be pleasantly surprised to find the GBB can reach you if you are outside those countries; so do enquire if so.

Installing the Programs for Logic, Proof and Computation

This file contains all the programs used in LPC; follow the README instructions. Note you do need a Shen executable with the Standard Libray preinstalled to install these programs. You can get that Shen executable from here. This download is designed to run under Windows.

Errata

LPC 3rd editions was publically available on the 26th May, 2023 and went through a number of changes, the last round being December 2025.

Feedback

This is a review version and is subject to change, but post June 3rd 2023 the changes have been very minor. Do post if you have an issue and errors will be corrected and you will be placed in the acknowledgements.

LATEST NEWS

The open Shen initiative. Hundreds of free online pages on Shen technology to appear in 2025.

Built by Shen Technology (c) Mark Tarver, June 2025