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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,
16 <link to="http://www.math.unipd.it/~maietti/">Minimalist Foundation (MF)</link>
20 The λδ family is developed within the
21 <link to="http://helm.cs.unibo.it/">Hypertextual Electronic Library of Mathematics (HELM)</link>
22 as a set of machine-checked <rlink to="html/specification.html">digital specifications</rlink>.
24 <topitem name="current">
25 <notice class="alpha" text="Current version:"/>
26 <rlink to="download/lambdadelta_2B.tar.bz2">λδ-2B for for Matita 0.99.4</rlink>
27 (released: <notice class="gamma" notice="2019-11"/>).
28 <rlink to="html/documentation.html#ldJ2a">Documentation (J2a)</rlink>.
31 This is the family logo: <rlink to="images/crux_177.png">crux_177.png</rlink>
32 (revised <notice class="alpha" text="2012-09"/>).
35 <notice class="alpha" text="Notice:"/>
36 to view this site correctly, please select a font
37 with <link to="http://www.unicode.org/">Unicode</link> support.
40 <ucs-bronze char="03BB"/>
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45 <section9 name="citations">Citations</section9>
47 This is a list of publications citing λδ documentation.
52 <notice class="alpha">An extended type system with lambda-typed lambda-expressions</notice>
53 (2018). Technical report. Faculty of Computer Science, Technical University of Berlin.
58 <notice class="alpha">An extended type system with lambda-typed lambda-expressions (extended version)</notice>
59 (2018). Technical report. Faculty of Computer Science, Technical University of Berlin.
63 M.E. Maietti, S. Maschio:
64 <notice class="alpha">An extensional Kleene realizability semantics for the Minimalist Foundation</notice>
65 (2015). In Leibniz International Proceedings in Informatics, 39, pp 162-186. Schloss Dagstuhl, Leibniz-Zentrum für Informatik.
69 C. Dunchev, F. Guidi, C. Sacerdoti Coen, E. Tassi:
70 <notice class="alpha">ELPI: Fast, Embeddable, λProlog Interpreter</notice>
71 (2015). In proc. of LPAR 20. Lecture Notes in Computer Science, 9450, pp. 460-468. Springer.
75 A. Asperti, W. Ricciotti, C. Sacerdoti Coen, E. Tassi:
76 <notice class="alpha">Formal metatheory of programming languages in the Matita interactive theorem prover</notice>
77 (2012). In Journal of Automated Reasoning, 49(3), pp. 427-451. Springer.
82 <notice class="alpha">Consistency of the minimalist foundation with Church thesis and Bar Induction</notice>
83 (2012). Submitted article.
88 <notice class="alpha">Theoretical and implementation aspects in the mechanization of the metatheory of programming languages</notice>
89 (July 2011). Ph.D. Thesis in Computer Science, Technical Report UBLCS-2011-09, University of Bologna.
94 <notice class="alpha">Faithful Reproductions of the Automath Landau Formalization</notice>
95 (2011). Technical report.
100 <notice class="alpha">A minimalist two-level foundation for constructive mathematics</notice>
101 (2009). In Annals of Pure and Applied Logic, 160(3), pp. 319-354. Elsevier.
106 <notice class="alpha">First Year Report: Realisability methods of proof and semantics with application to expansion</notice>
107 (July 2007). Technical report.
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112 <section9 name="disclaimer">Disclaimer</section9>
114 The systems of the λδ family <notice class="alpha" text="are not"/> related intentionally to
115 any other system having (variations of) the symbols λ and δ in its name or syntax.
116 Examples include (but are not limited to):
120 <notice class="alpha">λ-δ</notice> of
122 <notice class="alpha">The calculi of lambda-conversion</notice>
124 Annals of Mathematics Studies 6.
125 Princeton University Press.
129 <notice class="alpha">∆Λ</notice> of
131 <notice class="alpha">Generalizing Automath by means of a lambda-typed lambda calculus</notice>
133 In Lecture Notes in Pure and Applied Mathematics 106, pp. 71-92.
138 <notice class="alpha">λ<sub>∆</sub></notice> of
139 N.J. Rehof, M.H. Sørensen:
140 <notice class="alpha">The λ<sub>∆</sub>-calculus</notice>
142 In Lecture Notes in Computer Science, 789, pp. 516–542.
147 <notice class="alpha">λ∆</notice> of
148 S. Ronchi Della Rocca, L. Paolini:
149 <notice class="alpha">The Parametric Lambda Calculus</notice>
151 Texts in Theoretical Computer Science, An EATCS Series.
156 <notice class="alpha">λD</notice> of
157 R. Nederpelt, H. Geuvers:
158 <notice class="alpha">Type Theory and Formal Proof</notice>
160 Cambridge University Press.
164 <notice class="alpha">Cλξ</notice> of
166 <notice class="alpha">A namefree lambda calculus with facilities for internal definition of expressions and segments</notice>
169 Eindhoven University of Technology, Eindhoven.
174 Moreover, the systems of the λδ family <notice class="alpha" text="are not"/> related intentionally to
175 <link to="http://umineko.wikia.com/wiki/Lambdadelta">Lady Lambdadelta</link>,
176 the Witch of Certainty of the sound novel
177 <link to="https://it.wikipedia.org/wiki/Umineko_no_naku_koro_ni">Umineko no Naku Koro ni</link>.
180 <!-- ===================================================================== -->
182 <section15 name="info">lambdadelta.info</section15>
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