1 <?xml version="1.0" encoding="UTF-8"?>
3 <page xmlns="http://lambdadelta.info/"
4 description = "\lambda\delta home page"
5 title = "\lambda\delta home page"
7 head = "The Formal Systems of the λδ (\lambda\delta) Family"
9 <sitemap name="sitemap"/>
11 <section9 name="foreword">Foreword</section9>
13 The formal systems of the λδ (\lambda\delta) family are typed λ-calculi aiming to support
14 the foundational frameworks for Mathematics that require an underlying specification language
15 (for example the <link to="http://www.math.unipd.it/~maietti/">Minimalist Foundation</link>
16 and its predecessors).
19 The λδ family is developed within the
20 <link to="http://helm.cs.unibo.it/">Hypertextual Electronic Library of Mathematics</link>
21 as a set of machine-checked digital specifications.
24 This is the family logo: <rlink to="images/crux_177.png">crux_177.png</rlink>
25 (revised <notice class="alpha" text="2012-09"/>).
28 <notice class="alpha" text="Notice for the user of Internet Explorer."/>
29 To view this site correctly, please select a font
30 with <link to="http://www.unicode.org/">Unicode</link> support.
31 For example "Lucida Sans Unicode" (it should be already installed on your system).
32 To change the current font follow:
33 "Tools" menu → "Internet Options" entry → "General" tab → "Fonts" button.
36 <!-- ===================================================================== -->
38 <section9 name="citations">Citations</section9>
40 This is a list of publications citing λδ documentation.
44 C. Dunchev, F. Guidi, C. Sacerdoti Coen, E. Tassi:
45 <notice class="alpha">ELPI: Fast, Embeddable, λProlog Interpreter</notice>
46 (2015). In proc. of LPAR 20. Lecture Notes in Computer Science, 9450, pp. 460-468. Springer.
50 A. Asperti, W. Ricciotti, C. Sacerdoti Coen, E. Tassi:
51 <notice class="alpha">Formal metatheory of programming languages in the Matita interactive theorem prover</notice>
52 (2012). In Journal of Automated Reasoning, 49(3), pp. 427-451. Springer.
57 <notice class="alpha">Consistency of the minimalist foundation with Church thesis and Bar Induction</notice>
58 (2012). Submitted article.
63 <notice class="alpha">Theoretical and implementation aspects in the mechanization of the metatheory of programming languages</notice>
64 (July 2011). Ph.D. Thesis in Computer Science, Technical Report UBLCS-2011-09, University of Bologna.
69 <notice class="alpha">Faithful Reproductions of the Automath Landau Formalization</notice>
70 (2011). Technical report.
75 <notice class="alpha">A minimalist two-level foundation for constructive mathematics</notice>
76 (2009). In Annals of Pure and Applied Logic, 160(3), pp. 319-354. Elsevier.
81 <notice class="alpha">First Year Report: Realisability methods of proof and semantics with application to expansion</notice>
82 (July 2007). Technical report.
85 <!-- ===================================================================== -->
87 <section9 name="disclaimer">Disclaimer</section9>
89 The systens of the λδ family <notice class="alpha" text="are not"/> related intentionally to
90 any other system having (variations of) the symbols λ and δ in its name or syntax.
91 Examples include (but are not limited to):
95 <notice class="alpha">λ-δ</notice> of
97 <notice class="alpha">The calculi of lambda-conversion</notice>
99 Annals of Mathematics Studies 6.
100 Princeton University Press.
104 <notice class="alpha">∆Λ</notice> of
106 <notice class="alpha">Generalizing Automath by means of a lambda-typed lambda calculus</notice>
108 In Lecture Notes in Pure and Applied Mathematics 106, pp. 71-92.
113 <notice class="alpha">λ<sub>∆</sub></notice> of
114 N.J. Rehof, M.H. Sørensen:
115 <notice class="alpha">The λ<sub>∆</sub>-calculus</notice>
117 In Lecture Notes in Computer Science, 789, pp. 516–542.
122 <notice class="alpha">λ∆</notice> of
123 S. Ronchi Della Rocca, L. Paolini:
124 <notice class="alpha">The Parametric Lambda Calculus</notice>
126 Texts in Theoretical Computer Science, An EATCS Series.
131 <notice class="alpha">λD</notice> of
132 R. Nederpelt, H. Geuvers:
133 <notice class="alpha">Type Theory and Formal Proof</notice>
135 Cambridge University Press.
139 <notice class="alpha">Cλξ</notice> of
141 <notice class="alpha">A namefree lambda calculus with facilities for internal definition of expressions and segments</notice>
144 Eindhoven University of Technology, Eindhoven.
148 Moreover, the systens of the λδ family <notice class="alpha" text="are not"/> related intentionally to
149 the character <link to="http://umineko.wikia.com/wiki/Lambdadelta">Lady Lambdadelta</link>,
150 the Witch of Certainty of the sound novel
151 <link to="https://it.wikipedia.org/wiki/Umineko_no_naku_koro_ni">Umineko no Naku Koro ni</link>.