Results 1 to 10 of about 927,742 (98)
Internalising modified realisability in constructive type theory [PDF]
A modified realisability interpretation of infinitary logic is formalised and proved sound in constructive type theory (CTT). The logic considered subsumes first order logic.
Anton Setzer, Erik Palmgren
core +1 more source
Constructive Tensor Field Theory [PDF]
We provide an up-to-date review of the recent constructive program for field theories of the vector, matrix and tensor type, focusing not on the models themselves but on the mathematical tools used.Comment: arXiv admin note: text overlap with arXiv:1401 ...
Rivasseau, Vincent
core +1 more source
Quotient completion for the foundation of constructive mathematics [PDF]
We apply some tools developed in categorical logic to give an abstract description of constructions used to formalize constructive mathematics in foundations based on intensional type theory.
Maietti, Maria Emilia +1 more
core +2 more sources
Interference-induced peak splitting in EUV superfluorescence [PDF]
We investigate the laser-induced quantum interference in EUV superfluorescence occurring in a dense gas of $\Lambda$-type helium atoms coupled by a coherent laser field in the visible region.
Agostini +21 more
core +1 more source
Algorithmic construction of Chevalley bases [PDF]
We present a new algorithm for constructing a Chevalley basis for any Chevalley Lie algebra over a finite field. This is a necessary component for some constructive recognition algorithms of exceptional quasisimple groups of Lie type.
Magaard, Kay, Wilson, Robert
core +3 more sources
Spin-wave interference in three-dimensional rolled-up ferromagnetic microtubes [PDF]
We have investigated spin-wave excitations in rolled-up Permalloy microtubes using microwave absorption spectroscopy. We find a series of quantized azimuthal modes which arise from the constructive interference of Damon-Eshbach type spin waves ...
Andreas Krohn +7 more
core +1 more source
Towards a constructive simplicial model of Univalent Foundations
We provide a partial solution to the problem of defining a constructive version of Voevodsky's simplicial model of univalent foundations. For this, we prove constructive counterparts of the necessary results of simplicial homotopy theory, building on the
Gambino, Nicola, Henry, Simon
core
Classical Mathematics for a Constructive World
Interactive theorem provers based on dependent type theory have the flexibility to support both constructive and classical reasoning. Constructive reasoning is supported natively by dependent type theory and classical reasoning is typically supported by ...
Geuvers +8 more
core +1 more source
Matrix Ernst potentials for EMDA with multiple vector fields [PDF]
We show that the Einstein-Maxwell-Dilaton-Axion system with multiple vector fields (bosonic sector of the D=4, N=4 supergravity) restricted to spacetimes possessing a non-null Killing vector field admits a concise representation in terms of the Ernst ...
Bergshoeff +24 more
core +2 more sources
On some peculiar aspects of the constructive theory of point-free spaces
This paper presents several independence results concerning the topos-valid and the intuitionistic (generalized) predicative theories of locales. In particular, certain consequences of the consistency of a general form of Troelstra's uniformity principle
Blass, Gutierres, Herrlich
core +1 more source

