Overview

This volume is a collection of papers with a personal flavour. It consists of 11 articles which propose interesting variations to or examples of mechanising mathematics and illustrate differ developments in symbolic computation in the past 35 years. The volume further includes a strong argumentation by Arnon Avron that for automated reasoning, there is an interesting logic, somewhere strictly between first and second order logic, determined essentially by an analysis of transitive closure, yielding induction; and Murdoch Gabbay presenting an interesting generalisation of Fraenkel-Mostowski (FM) set theory within higher-order logic, and applying it to model Milner's p calculus.

Full Product Details

Author:   F.D. Kamareddine
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2003
Volume:   28
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.530kg
ISBN:  

9789048164400

ISBN 10:   9048164400
Pages:   320
Publication Date:   22 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

A Mathematical Model for Biological Memory and Consciousness.- Towards an Interactive Mathematical Proof Mode.- Recent Results in Type Theory and their Relationship to Automath.- Linear Contexts, Sharing Functors: Techniques for Symbolic Computation.- De Bruijn’s Automath and Pure Type Systems.- Hoare Logic with Explicit Contexts.- Transitive Closure and the Mechanization of Mathematics.- Polymorphic Type-checking for the Ramified Theory of Types of Principia Mathematica.- Termination in ACL2 using Multiset Relations.- The ?-Calculus in FM.- Proof Development with ?mega: The Irrationality of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaOaaaeaaca % aIYaaaleqaaaaa!36CB!]]

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