Výsledky vyhledávání - "Bas Spitters"

Akademický článek

Autor: Egbert Rijke, Michael Shulman, Bas Spitters

Publikováno v: Logical Methods in Computer Science, Vol Volume 16, Issue 1 (2020)

Univalent homotopy type theory (HoTT) may be seen as a language for the category of $\infty$-groupoids. It is being developed as a new foundation for mathematics and as an internal language for (elementary) higher toposes. We develop the theory of fa

Externí odkaz: https://doaj.org/article/78a474d175c9414292a42c1dbbec9782

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Akademický článek

Gelfand spectra in Grothendieck toposes using geometric mathematics

Autor: Bas Spitters, Steven Vickers, Sander Wolters

Publikováno v: Electronic Proceedings in Theoretical Computer Science, Vol 158, Iss Proc. QPL 2012, Pp 77-107 (2014)

In the (covariant) topos approach to quantum theory by Heunen, Landsman and Spitters, one associates to each unital C*-algebra, A, a topos T(A) of sheaves on a locale and a commutative C*-algebra, a, within that topos. The Gelfand spectrum of a is a

Externí odkaz: https://doaj.org/article/6c1e49713c724ca79719743c39443cc1

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Akademický článek

The space of measurement outcomes as a spectrum for non-commutative algebras

Autor: Bas Spitters

Publikováno v: Electronic Proceedings in Theoretical Computer Science, Vol 26, Iss Proc. DCM 2010, Pp 127-133 (2010)

Bohrification defines a locale of hidden variables internal in a topos. We find that externally this is the space of partial measurement outcomes. By considering the double negation sheafification, we obtain the space of measurement outcomes which co

Externí odkaz: https://doaj.org/article/73df4ac98ec64f229db329a7345e8b4f

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Akademický článek

Type classes for efficient exact real arithmetic in Coq

Autor: Robbert Krebbers, Bas Spitters

Publikováno v: Logical Methods in Computer Science, Vol Volume 9, Issue 1 (2013)

Floating point operations are fast, but require continuous effort on the part of the user in order to ensure that the results are correct. This burden can be shifted away from the user by providing a library of exact analysis in which the computer ha

Externí odkaz: https://doaj.org/article/e587b13c8b32433e9e29bd40ab7d843d

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Akademický článek

Constructive theory of Banach algebras

Autor: Thierry Coquand, Bas Spitters

Publikováno v: Journal of Logic and Analysis, Vol 2, Iss 0 (2010)

Externí odkaz: https://doaj.org/article/9416525233614cc39ec2fdaebab8c5b9

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Akademický článek

Integrals and valuations

Autor: Bas Spitters, Thierry Coquand

Publikováno v: Journal of Logic and Analysis, Vol 1, Iss 0 (2009)

Externí odkaz: https://doaj.org/article/902266a44fb341ab921e2e2319905dbf

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Akademický článek

Almost periodic functions, constructively

Autor: Bas Spitters

Publikováno v: Logical Methods in Computer Science, Vol Volume 1, Issue 3 (2005)

The almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them. Here we present a simple proof of Bohr's fundamental theorem f

Externí odkaz: https://doaj.org/article/9f8a946af3464ea4ac5fa23789639fc5

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SSProve: A foundational framework for modular cryptographic proofs in Coq

Autor: Philipp G. Haselwarter, Exequiel Rivas, Antoine Van Muylder, Théo Winterhalter, Carmine Abate, Nikolaj Sidorenco, Cătălin Hrițcu, Kenji Maillard, Bas Spitters

Publikováno v: ACM Transactions on Programming Languages and Systems.

State-separating proofs (SSP) is a recent methodology for structuring game-based cryptographic proofs in a modular way, by using algebraic laws to exploit the modular structure of composed protocols. While promising, this methodology was previously n

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::527ef3480187e0fa65e80de3b22ec333
https://doi.org/10.1145/3594735

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Formalising Decentralised Exchanges in Coq

Autor: Eske Hoy Nielsen, Danil Annenkov, Bas Spitters

Publikováno v: Nielsen, E H, Annenkov, D & Spitters, B 2023, ' Formalising Decentralised Exchanges in Coq ', CPP 2023-Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs, co-located with POPL 2023, pp. 290-302 . https://doi.org/10.1145/3573105.3575685

The number of attacks and accidents leading to significant losses of crypto-assets is growing. According to Chainalysis, in 2021, approx. $14 billion has been lost due to various incidents, and this number is dominated by Decentralized Finance (DeFi)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe27ec18e355849d7f92a4acf13e1f33
https://doi.org/10.1145/3573105.3575685

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Extracting functional programs from Coq, in Coq

Autor: DANIL ANNENKOV, MIKKEL MILO, JAKOB BOTSCH NIELSEN, BAS SPITTERS

Publikováno v: Annenkov, D, Milo, M, Nielsen, J B & Spitters, B A S 2022, ' Extracting functional programs from Coq, in Coq ', Journal of Functional Programming, vol. 32, no. 5, e11 . https://doi.org/10.1017/S0956796822000077
Aarhus University

We implement extraction of Coq programs to functional languages based on MetaCoq's certified erasure. We extend the MetaCoq erasure output language with typing information and use it as an intermediate representation, which we call $\lambda^T_\square

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::723f7f04dac1373ddb287c645b836101
https://pure.au.dk/portal/da/publications/extracting-functional-programs-from-coq-in-coq(44b6289b-5b80-4282-9c0e-df5571674e48).html

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