Oct 6, 2021 · The main problem of predicative mathematics is how to introduce and handle the real numbers, and what is usually taken as their characteristic ...

We present correct and natural development of fundamental analysis in a predicative set theory we call PZF U . This is done by using a delicate and careful ...

We present correct and natural development of fundamental analysis in a predicative set theory we call \({\mathsf {PZF}^{\mathsf {U}}}\).

We present correct and natural development of fundamental analysis in a predicative set theory we call PZFU. This is done by using a delicate and careful ...

Fingerprint. Dive into the research topics of 'Analysis in a Formal Predicative Set Theory'. Together they form a unique fingerprint.

One of the main goals of this paper is to give a construction of realizability models for predicative constructive set theories in a predicative metatheory.

Nov 13, 2024 · Formally, set theory can be derived by the addition of various special axioms to a rather modest form of LPC that contains no predicate ...

Sep 19, 2024 · Predicative mathematics is a way of doing mathematics without allowing impredicative definitions. Informally, a definition is impredicative if it refers to a ...

Oct 29, 2010 · These models of set theory are pointwise definable, meaning that every object in them is definable in them by a formula. In particular, it is ...

This inference is done through the GCL denotational semantics over the set theory ZF, showing that the classical formulas of Dijkstra to define wp in GCL using ...