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A Reasonably Exceptional Type Theory

A Reasonably Exceptional Type Theory

... in type theories for proof assistants have severe drawbacks from both a programming and a reasoning ...new exceptional type theory is interpreted by a translation into ... Voir le document complet

30

Failure is Not an Option An Exceptional Type Theory

Failure is Not an Option An Exceptional Type Theory

... the exceptional translation, the first syntactic translation of the Calculus of Inductive Constructions into itself, adding ef- fects and that covers full dependent ...in a new type the- ory, which ... Voir le document complet

33

Consistent Kaluza-Klein truncations via exceptional field theory

Consistent Kaluza-Klein truncations via exceptional field theory

... have a rank higher than is permitted by the six/seven coordinates among the Y M that are consistent with the section ...take a highly ‘non-geometric’ ...the type addressed in double field ... Voir le document complet

40

Exactly marginal deformations from exceptional generalised geometry

Exactly marginal deformations from exceptional generalised geometry

... of type IIB, and the corresponding linearised solution was given in [ 6 ...gauge theory beta ...from a perturbative ...Klebanov–Witten theory and more general N = 1 quiver gauge theories [ 8 ... Voir le document complet

53

Preface: Special Issue on Homotopy Type Theory and Univalent Foundations

Preface: Special Issue on Homotopy Type Theory and Univalent Foundations

... of a series of workshops on Homotopy Type Theory and Univalent ...homotopy theory, has initiated what is now called the univalent foundations program ...homotopy theory, the goal of the ... Voir le document complet

3

A new exceptional polynomial for the integer transfinite diameter of $[0,1]$

A new exceptional polynomial for the integer transfinite diameter of $[0,1]$

... such exceptional polynomials. As suggested by Habsieger and Salvy we use a new algorithm to extend their table and we give a list of integer Chebyshev polynomials up to ... Voir le document complet

16

Unsolvability of the Quintic Formalized in Dependent Type Theory

Unsolvability of the Quintic Formalized in Dependent Type Theory

... in a constructive setting 8.1 Boolean reflection and effective Galois theory The present contribution takes over the main design choices deployed in Mathematical Components library, and in particular its ... Voir le document complet

19

Electronics Production Upgrading: Is China Exceptional?

Electronics Production Upgrading: Is China Exceptional?

... be a poor indicator of a country’s set of comparative advantage goods (Baldone et ...the type of production activities that have taken place in an exporting country (Grossman and Rossi-Hansberg, ... Voir le document complet

20

Designing education for twice-exceptional learners

Designing education for twice-exceptional learners

... Numerous educators who have studied gifted children with learning disabilities have found that, ideally, these students should receive instruction as a special group for at least part o[r] ... Voir le document complet

60

Competing inheritance paths in dependent type theory: a case study in functional analysis

Competing inheritance paths in dependent type theory: a case study in functional analysis

... provides a dependent record construct, which allows to represent a given mathematical structure as a type, and its instances as terms of that ...type. A dependent record is an ... Voir le document complet

20

The next 700 syntactical models of type theory

The next 700 syntactical models of type theory

... use type theory itself and can thus rely on the consistency of it, proved in a syntactical ...of type theory into itself (Chapman 2009; Altenkirch and Kaposi 2016), we do not describe ... Voir le document complet

14

Dependent Type Theory in Polarised Sequent Calculus (abstract)

Dependent Type Theory in Polarised Sequent Calculus (abstract)

... return type 𝑅, we have [𝑏] 1 𝑅 𝑘 ≡ 𝑘 [𝑏] 0 , emphasizing that such a translation is only compatible with 𝖭𝖤𝖥 terms that observationally behave like ...factorize a CPS translation from this calculus ... Voir le document complet

4

Categorical Structures for Type Theory in Univalent Foundations

Categorical Structures for Type Theory in Univalent Foundations

... qmor(X) ' X X:objext(C) tmstr(X) ' cwf(C) . J The back-and-forth constructions above (though not compatibility) are also sketched in e.g. [8, Sections 3.1, 3.2] (note that Hofmann’s categories with attributes are what we ... Voir le document complet

17

On the homotopy groups of spheres in homotopy type theory

On the homotopy groups of spheres in homotopy type theory

... comme a été fait dans [Cav15], mais cela s’avéra être une mauvaise idée, à ma grande ...y a aussi d’autres formes qui peuvent apparaître, et traiter les carrés différemment n’est peut-être pas la meilleure ... Voir le document complet

188

Implementing Type Theory in Higher Order Constraint Logic Programming

Implementing Type Theory in Higher Order Constraint Logic Programming

... for a dependently typed language: the kernel — responsible for type-checking closed terms — and the elaborator — that manipulates open terms, that is terms containing unresolved unification ...obtain ... Voir le document complet

27

Non-classical expected utility theory with application to type indeterminacy

Non-classical expected utility theory with application to type indeterminacy

... with a Non-classical opponent We shall consider a situation where our decision-maker faces uncertainty about the type (or preferences) of the agent that he is interacting ...that a variety of ... Voir le document complet

28

Modular generalized Springer correspondence III: exceptional groups

Modular generalized Springer correspondence III: exceptional groups

... G,k corresponding to the trivial and sign representations of N G (L)/L, which Spaltenstein called the ‘starting point to apply [the restriction theorem] in a nontrivial way’. Therefore, in this section we restrict ... Voir le document complet

39

Regular Language Representations in the Constructive Type Theory of Coq

Regular Language Representations in the Constructive Type Theory of Coq

... is a verified translation from regular expres- sions to finite automata by Filliˆatre ...to a representation that is considerably more difficult to work with than finite ...are a number of verified ... Voir le document complet

34

Epistemic logic meets epistemic game theory: a comparison between multi-agent Kripke models and type spaces

Epistemic logic meets epistemic game theory: a comparison between multi-agent Kripke models and type spaces

... Econ Theory 106:356–391, 2002 ; Klein and Pacuit in Stud Log 102:297–319, 2014 ; Lorini in J Philos Log 42(6):863– 904, 2013 ), both these frameworks can be used to express epistemic conditions for solution ... Voir le document complet

32

Some more exceptional discoveries at Ulug-depe

Some more exceptional discoveries at Ulug-depe

... With the exception of these two forms, the others are either attested throughout the Iranian plateau or, on the contrary, seem to be known only through the specimens discovered at Ulug-depe. It is therefore difficult to ... Voir le document complet

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