A proof that restricting impredicativity to erasable quantifiers does not directly make impredicativity in more than one universe consistent. A new calculus ...
People also ask
What is the difference between predicative and Impredicative?
What does it mean for a system to be impredicative?
What is the concept of predicativity?
Sep 24, 2020 · Implicit calculus of constructions as a programming language with dependent types. In Conference on Foundations of Software Science and ...
:14 Is Impredicativity Implicitly Implicit? erasability to avoid inconsistency, we could thus define a new λeU− calculus that only allows. 413 the use of ...
Resizing Prop down to an axiom · Computer Science, Philosophy · 2022.
Is Impredicativity Implicitly Implicit? Of all the threats to the consistency of a type system, such as side effects and recursion, impredicativity is arguably ...
Mar 4, 2021 · No: strong elimination of large inductive types (SELIT) is itself inconsistent because it breaks the layering of universes by trivially ...
Roughly speaking, a definition is impredicative if it invokes (mentions or quantifies over) the set being defined, or (more commonly) another set that contains ...
Missing: Implicitly Implicit?
A definition is said to be impredicative if it generalizes over a totality to which the entity being defined belongs. Otherwise the definition is said to be ...
Missing: Implicitly | Show results with:Implicitly
The aim of this chapter is to show that an appropriate translation can indeed be found when the abstraction is predicative, in a sense to be explained shortly— ...
May 28, 2010 · Yes, it is worth the effort. A predicative version of an impredicative construction is typically more explicit and informative than the ...