Results 21 to 30 of about 13,143,476 (301)
An outline of type-theoretical approaches to lexical semantics
Journal of Language Modelling, 2017 We take the opportunity of the publication of some of the papers of the ESSLLI workshop TYTLES (TYpes Theory and LExical Semantics, ESSLLI 2015, Barcelona) to provide an overview of the possibilities that type theory offer to model lexical semantics ...
Robin Cooper, Christian Retoré
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A dependent nominal type theory [PDF]
Logical Methods in Computer Science, 2012 Nominal abstract syntax is an approach to representing names and binding pioneered by Gabbay and Pitts. So far nominal techniques have mostly been studied using classical logic or model theory, not type theory. Nominal extensions to simple, dependent and
James Cheney
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Type classes for mathematics in type theory [PDF]
Mathematical Structures in Computer Science, 2011 The introduction of first-class type classes in the Coq system calls for a re-examination of the basic interfaces used for mathematical formalisation in type theory. We present a new set of type classes for mathematics and take full advantage of their unique features to make practical a particularly flexible approach that was formerly thought to be ...
Bas Spitters, Eelis van der Weegen
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Axial-Symmetric Diffraction Radiation Antenna with a Very Narrow Funnel-Shaped Directional Diagram
Applied Sciences, 2021 The paper is focused on reliable modeling and analysis of axially symmetric radiators with a very narrow (throat) funnel-shaped radiation pattern. When such a diagram is formed, a wave analogue of Smith–Purcell coherent radiation is realized—the surface ...
Yuriy Sirenko +5 more
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W-types in homotopy type theory [PDF]
Mathematical Structures in Computer Science, 2014 We will give a detailed account of why the simplicial sets model of the univalence axiom due to Voevodsky also models W-types. In addition, we will discuss W-types in categories of simplicial presheaves and an application to models of set theory.
van den Berg, B., Moerdijk, I.
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Idempotents in intensional type theory [PDF]
Logical Methods in Computer Science, 2017 We study idempotents in intensional Martin-L\"of type theory, and in particular the question of when and whether they split. We show that in the presence of propositional truncation and Voevodsky's univalence axiom, there exist idempotents that do not ...
Michael Shulman
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Fixed point theory in metric type spaces
, 2015 Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed ...
Roldán-López-de-Hierro, Antonio Francisco +7 more
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Model structure on the universe of all types in interval type theory [PDF]
, 2020 International audienceModel categories constitute the major context for doing homotopy theory. More recently, Homotopy Type Theory has been introduced as a context for doing syntactic homotopy theory.
Tabareau, Nicolas, Boulier, Simon
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Quantum Gauge Field Theory in Cohesive Homotopy Type Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We implement in the formal language of homotopy type theory a new set of axioms called cohesion. Then we indicate how the resulting cohesive homotopy type theory naturally serves as a formal foundation for central concepts in quantum gauge field theory.
Urs Schreiber, Michael Shulman
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Journal of Symbolic Computation, 1995 The paper aims at a formalization of analogy reasoning. An analogical intuitionistic type theory (AITT) is proposed. AITT is developed from Martin-Löf's intuitionistic type theory MITT and from the analogical calculus \(LK_A\) [the authors, Theor. Comput. Sci. 113, 211-230 (1993; Zbl 0784.68083)]. Martin-Löf's intuitionistic type theory is presented in
Bo Yi, Jiafu Xu
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