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Type classes for mathematics in type theory [PDF]

open access: yesMathematical 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 ...
Spitters B., Van Der Weegen E.
openaire   +4 more sources

Logical relations for coherence of effect subtyping

open access: yes, 2018
A coercion semantics of a programming language with subtyping is typically defined on typing derivations rather than on typing judgments. To avoid semantic ambiguity, such a semantics is expected to be coherent, i.e., independent of the typing derivation
Biernacki, Dariusz, Polesiuk, Piotr
core   +1 more source

Typing Quantum Superpositions and Measurement [PDF]

open access: yes, 2017
We propose a way to unify two approaches of non-cloning in quantum lambda-calculi. The first approach is to forbid duplicating variables, while the second is to consider all lambda-terms as algebraic-linear functions.
A Díaz-Caro   +5 more
core   +3 more sources

CRISPR Typing Increases the Discriminatory Power of Streptococcus agalactiae Typing Methods

open access: yesFrontiers in Microbiology, 2021
We explored the relevance of a Clustered regularly interspaced short palindromic repeats (CRISPR)-based genotyping tool for Streptococcus agalactiae typing and we compared this method to current molecular methods [multi locus sequence typing (MLST) and ...
Clémence Beauruelle   +15 more
doaj   +1 more source

Session Types as Generic Process Types [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
In Proceedings EXPRESS/SOS 2014, arXiv:1408 ...
Gay, Simon J.   +2 more
openaire   +7 more sources

Call-by-name Gradual Type Theory

open access: yes, 2020
We present gradual type theory, a logic and type theory for call-by-name gradual typing. We define the central constructions of gradual typing (the dynamic type, type casts and type error) in a novel way, by universal properties relative to new judgments
Licata, Daniel R., New, Max S.
core   +1 more source

Trust, but Verify: Two-Phase Typing for Dynamic Languages [PDF]

open access: yes, 2015
A key challenge when statically typing so-called dynamic languages is the ubiquity of value-based overloading, where a given function can dynamically reflect upon and behave according to the types of its arguments.
Cosman, Benjamin   +2 more
core   +2 more sources

The Impact of Killer Cell Immunoglobulin-Like Receptors and Human Leukocyte Antigen-E, Human Leukocyte Antigen-G Polymorphisms on Innate Immunity and COVID-19 Severity

open access: yesJournal of Immunology Research
Conclusion: Genetic variations in KIR, HLA-E, and HLA-G are associated with susceptibility and resistance to severe COVID-19 outcomes. This elucidates the intricate interplay of NK cells and immune-related genes, offering insights into potential ...
Cigdem Kekik   +8 more
doaj   +1 more source

Molecular Characterisation of Vancomycin-Resistant Enterococcus faecium Isolates Belonging to the Lineage ST117/CT24 Causing Hospital Outbreaks

open access: yesFrontiers in Microbiology, 2021
Background: Vancomycin-resistant Enterococcus faecium (VREfm) is a successful nosocomial pathogen. The current molecular method recommended in the Netherlands for VREfm typing is based on core genome Multilocus sequence typing (cgMLST), however, the ...
Paola Lisotto   +12 more
doaj   +1 more source

Algebras of acyclic cluster type: Tree type and type à [PDF]

open access: yesNagoya Mathematical Journal, 2013
AbstractIn this paper, we study algebras of global dimension at most 2 whose generalized cluster category is equivalent to the cluster category of an acyclic quiver which is either a tree or of typeÃ.We are particularly interested in their derived equivalence classification.
Amiot, Claire, Oppermann, Steffen
openaire   +5 more sources

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