Results 21 to 30 of about 6,236,903 (286)
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
Yi, Bo, Xu, Jiafu
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Sets in homotopy type theory [PDF]
, 2014 Homotopy Type Theory may be seen as an internal language for the $\infty$-category of weak $\infty$-groupoids which in particular models the univalence axiom.
Rijke, Egbert, Spitters, Bas
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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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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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BOOLEAN TYPES IN DEPENDENT THEORIES [PDF]
The Journal of Symbolic Logic, 2022 AbstractThe notion of a complete type can be generalized in a natural manner to allow assigning a value in an arbitrary Boolean algebra $\mathcal {B}$ to each formula. We show some basic results regarding the effect of the properties of $\mathcal {B}$ on the behavior of such types, and show they are particularity well behaved in the case of NIP ...
ITAY KAPLAN, ORI SEGEL, SAHARON SHELAH
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Cellular Cohomology in Homotopy Type Theory [PDF]
Logical Methods in Computer Science, 2020 We present a development of cellular cohomology in homotopy type theory. Cohomology associates to each space a sequence of abelian groups capturing part of its structure, and has the advantage over homotopy groups in that these abelian groups of many ...
Ulrik Buchholtz, Kuen-Bang Hou
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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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Inductive Types in Homotopy Type Theory [PDF]
2012 27th Annual IEEE Symposium on Logic in Computer Science, 2012 Homotopy type theory is an interpretation of Martin-Löf's constructive type theory into abstract homotopy theory. There results a link between constructive mathematics and algebraic topology, providing topological semantics for intensional systems of type theory as well as a computational approach to algebraic topology via type theory-based proof ...
Awodey, S, GAMBINO, Nicola, Sojakova, K.
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Visualizing Type-Checking Proofs: An Educational Web-Based System for an Extended Simply Typed Lambda Calculus [PDF]
Computer Science Journal of MoldovaUnderstanding simply typed lambda calculus is essential for learning type systems and formal semantics, but its abstract concepts are often challenging.
Ján Perháč, Vladyslav Futrak
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Two-dimensional models of type theory [PDF]
, 2008 We describe a non-extensional variant of Martin-L\"of type theory which we call two-dimensional type theory, and equip it with a sound and complete semantics valued in 2-categories.Comment: 46 pages; v2: final journal ...
Garner, Richard
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