Automatically assigned DDC number: 005131

Manually assigned DDC number: 005131

Number of references: 16

Title: Some Lambda Calculus and Type Theory Formalized

Author:

Author:

Subject: James Mckinna,Robert Pollack Some Lambda Calculus and Type Theory Formalized

Description: . We survey a substantial body of knowledge about lambda calculus and Pure Type Systems, formally developed in a constructive type theory using the LEGO proof system. On lambda calculus, we work up to an abstract, simplified, proof of standardization for beta reduction, that does not mention redex positions or residuals. Then we outline the meta theory of Pure Type Systems, leading to the strengthening lemma. One novelty is our use of named variables for the formalization. Along the way we point out what we feel has been learned about general issues of formalizing mathematics, emphasizing the search for formal definitions that are convenient for formal proof and convincingly represent the intended informal concepts. Keywords: formal mathematics, lambda calculus, Pure Type Systems, type theory, LEGO proof checker. 1. Introduction "This paper is about our hobby." That is the first sentence of [30], the first report on our formal development of lambda calculus and type theory, written ...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 1999-06-18

Pubyear: 1998

Format: ps

Identifier: http://citeseer.ist.psu.edu/342020.html

Source: ftp://ftp.dcs.ed.ac.uk/pub/lego/McKinnaPollack97.ps.gz

Language: en

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