<page xmlns="http://lambdadelta.info/"
description = "\lambda\delta home page"
title = "\lambda\delta home page"
- head = "The Formal System λδ (\lambda\delta)"
+ head = "The Formal Systems of the λδ (\lambda\delta) Family"
>
<sitemap name="sitemap"/>
<section9 name="foreword">Foreword</section9>
<body>
- The formal system λδ (\lambda\delta) is a typed λ-calculus aiming to support
+ The formal systems of the λδ (\lambda\delta) family are typed λ-calculi aiming to support
the foundational frameworks for Mathematics that require an underlying specification language
(for example the <link to="http://www.math.unipd.it/~maietti/">Minimalist Foundation</link>
and its predecessors).
</body>
<body>
- λδ is developed in the context of the
+ The λδ family is developed within the
<link to="http://helm.cs.unibo.it/">Hypertextual Electronic Library of Mathematics</link>
- as a machine-checked digital specification
- that is not the formal counterpart of previous informal material.
+ as a set of machine-checked digital specifications.
</body>
<body>
- This is the System logo: <rlink to="images/crux_177.png">crux_177.png</rlink>
+ This is the family logo: <rlink to="images/crux_177.png">crux_177.png</rlink>
(revised <notice class="alpha" notice="2012-09"/>).
</body>
<body>
(July 2007). Technical report.
</topitem>
+<!-- ===================================================================== -->
+
+ <section9 name="disclaimer">Disclaimer</section9>
+ <body>
+ The systens of the λδ family <span class="emph">are not</span> related intentionally to any other system
+ having (variations of) the symbols λ and δ in its name or syntax.
+ Examples include (but are not limited to):
+ </body>
+
+ <topitem name="D1">
+ <span class="emph">λ-δ</span> of
+ A. Church:
+ <span class="emph">The calculi of lambda-conversion</span>
+ (1941).
+ Annals of Mathematics Studies 6.
+ Princeton University Press.
+ </topitem>
+
+ <topitem name="D2">
+ <span class="emph">∆Λ</span> of
+ N.G. de Bruijn:
+ <span class="emph">Generalizing Automath by means of a lambda-typed lambda calculus</span>
+ (1987).
+ In Lecture Notes in Pure and Applied Mathematics 106, pp. 71-92.
+ Marcel Dekker.
+ </topitem>
+
+ <topitem name="D3">
+ <span class="emph">λ<sub>∆</sub></span> of
+ N.J. Rehof, M.H. Sørensen:
+ <span class="emph">The λ<sub>∆</sub>-calculus</span>
+ (1994).
+ In Lecture Notes in Computer Science, 789, pp. 516–542.
+ Springer.
+ </topitem>
+
+ <topitem name="D4">
+ <span class="emph alpha">λ∆</span> of
+ S. Ronchi Della Rocca, L. Paolini:
+ <span class="emph">The Parametric Lambda Calculus</span>
+ (2004).
+ Texts in Theoretical Computer Science, An EATCS Series.
+ Springer.
+ </topitem>
+
+ <topitem name="D5">
+ <span class="emph">λD</span> of
+ R. Nederpelt, H. Geuvers:
+ <span class="emph">Type Theory and Formal Proof</span>
+ (2014).
+ Cambridge University Press.
+ </topitem>
+
+ <topitem name="D6">
+ <span class="emph">Cλξ</span> of
+ N.G. de Bruijn:
+ <span class="emph">A namefree lambda calculus with facilities for internal definition of expressions and segments</span>
+ (1978).
+ TH-report 78-WSK-03.
+ Eindhoven University of Technology, Eindhoven.
+ </topitem>
+
<footer/>
</page>
projects / helm.git / blobdiff