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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.
Erik Palmgren
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The aim of our paper is to present the Constructive Type Theory (CTT) and some related concepts for the Swedish logician Per Martin Löf, who constructed a formal logic system in order to establish a philosophical foundation of constructive mathematics ...
Terkia Mechouet, Farid Zidani
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Spatial Distribution Dataset of All Constructive Grass Species in Tibetan Grasslands under 2024 and 2060 [PDF]
The Tibetan grassland is the principal ecosystem in a high-altitude, ecologically fragile region, providing vital services for biodiversity and local livelihoods. Constructive grass species play a pivotal role in maintaining the structure and function of
Guoyong Tang +6 more
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The Topology-Free Construction of the Universal Type Structure for Conditional Probability Systems [PDF]
We construct the universal type structure for conditional probability systems without any topological assumption, namely a type structure that is terminal, belief-complete, and non-redundant.
Pierfrancesco Guarino
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In this paper, an analytical solution to the problem of optimal dielectric coating design of mirrors for gravitational wave detectors is found. The technique used to solve this problem is based on Herpin’s equivalent layers, which provide a simple ...
Vincenzo Pierro +2 more
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Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]
Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
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Hereditary Substitution for the λΔ-Calculus [PDF]
Hereditary substitution is a form of type-bounded iterated substitution, first made explicit by Watkins et al. and Adams in order to show normalization of proof terms for various constructive logics.
Harley Eades, Aaron Stump
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RESEARCH ON THE CUSTOMIZATION OF THE DESIGN METHODS OF THE POST-MASTECTOMY BRA PRODUCT [PDF]
It is known that the functionality of the product is determined by its structure, namely the textile structure, the constructive solution, the processing technology.
RARU Aliona +3 more
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In this paper we studied the influence of micromachining parameters on processed surface quality. Usually in discussions about micro-cutting or micromachining, the grinding or diamond turning processes are considered.
Catalin Gabriel Dumitras +4 more
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Canonicity and homotopy canonicity for cubical type theory [PDF]
Cubical type theory provides a constructive justification of homotopy type theory. A crucial ingredient of cubical type theory is a path lifting operation which is explained computationally by induction on the type involving several non-canonical choices.
Thierry Coquand +2 more
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