Selected Publications and
Preprints
Book: From
sets and types to topology and analysis: towards practicable
foundations for constructive mathematics, with P.
Schuster (eds., co-authored introduction), Oxford Logic Guides
48, Oxford University Press, October 2005, pp. xix + 376.
Articles:
- Finite Methods in
Mathematical Practice, with P. Schuster, submitted
for publication. Preprint
- Transitive Closure is conservative over weak operational
set theory, with Andrea Cantini, accepted for
publication.
- A generalised cut
characterisation of the axiom of fullness in CZF,
with E. Palmgren and P. Schuster, accepted for publication.
- Tutorial
for Minlog,
Version 5.0, with M. Seisenberger and H.
Schwichtenberg, distributed with Minlog 5.0, p. 43.
- On French and Krause's
Identity in Physics, with E. Castellani, in Don
Howard, Bas van Fraassen, Otávio Bueno, Elena Castellani,
Laura Crosilla, Steven French and Décio Krause, The Physics
and Metaphysics of Identity and Individuality, Metascience,
2010.
- Explicit operational
set theory, with A.
Cantini, in Ways of Proof Theory, R. Schindler (ed.),
Ontos Series in Mathematical Logic, Frankfurt, 2010.
- Constructive and
Intuitionistic ZF, in Stanford Encyclopedia of
Philosophy: http://plato.stanford.edu/entries/set-theory-constructive/
.
- Constructive set theory
with operations, with A. Cantini, in Logic
Colloquium 2004, A. Andretta, K. Kearnes, D. Zambella
(eds.), Association of Symbolic Logic, Lecture Notes in
Logic, 29, 2008. Preprint
- Constructive notions of
set (Part I): Sets in Martin- Löf type theory,
Annali del Dipartimento di Filosofia, Nuova serie XI,
Firenze University Press 2006, pp. 347-387.
- Binary refinement
implies discrete exponentiation, with P. Aczel, H.
Ishihara, E. Palmgren, P. Schuster, Studia Logica, 84
(2006), pp.367-374.
- On constructing
completions, with H. Ishihara, P. Schuster, Journal
of symbolic Logic 70 (2005), pp. 969-978.
- Inaccessible set axioms
may have little consistency strength, with M.
Rathjen, Annals of Pure and Applied Logic, Vol 115/1-3, pp.
33-70, 2002.
- Tutorial for
Minlog, Mathematisches Institut der LMU Muenchen,
2001, pp. 26
- Realizabilityinterpretations for constructive
set theories with restricted induction, PhD thesis,
School of Mathematics, University of Leeds. September
2000.
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