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     1 <HTML><HEAD><TITLE>HOL/Lambda/ReadMe</TITLE></HEAD>
       
     2 <BODY>
       
     3 
       
     4 <H1>Lambda Calculus in de Bruijn's Notation</H1>
       
     5 
       
     6 This theory defines lambda-calculus terms with de Bruijn indixes and proves
       
     7 confluence of beta, eta and  beta+eta.
       
     8 <P>
       
     9 Beta is proved confluent both in the traditional way (see Barendregt's book)
       
    10 and also following Takahashi's elegant version using developments.
       
    11 <P>
       
    12 
       
    13 A report describing the whole theory with the exception of eta-reduction is
       
    14 found here: <A HREF =
       
    15 "ftp://ftp.informatik.tu-muenchen.de/local/lehrstuhl/nipkow/church-rosser.html"
       
    16 >More Church-Rosser Proofs (in Isabelle)</A>.
       
    17 
       
    18 </BODY>
       
    19 </HTML>