activity
20152026
most citedIdeal-like properties of generalized microscopic sets

4 citations · 5 across the 10 of their papers we have counts for

collaborators

11 papers

math.LO2026

Vopěnka's Principle without Choice: Preservation under Symmetric Extensions

Tom de Groot, Wojciech Aleksander Wołoszyn

We give a detailed proof that every set-sized symmetric extension of a model of again satisfies , where is formulat…

math.LO2026

Modal group theory: homomorphisms

Wojciech Aleksander Wołoszyn

I investigate modal group theory for arbitrary homomorphisms. Possibility is interpreted by the existence of a group homomorphism out of the given group, so the semantics is govern…

math.LO2026

Modal group theory

Wojciech Aleksander Wołoszyn

I introduce modal group theory, in which we study the category of all groups, considering embeddability as providing a notion of modal possibility. Using HNN extensions and Britton…

math.LO2026

The modal theory of linear orders

Wojciech Aleksander Wołoszyn

I study the modal theory of linear orders under embeddings, monotone maps, condensations, and end-extensions. I prove modality elimination for embeddings and monotone maps, show th…

math.LO2026

The modal theory of the category of sets

Wojciech Aleksander Wołoszyn

We classify the propositional modal validities arising from the category of sets under its natural classes of morphisms. The resulting validities depend on the morphism class, the…

math.LO2025★ 1 cited

Grzegorczyk Logic Unlocked

Wojciech Aleksander Wołoszyn

The article offers a fresh perspective on Grzegorczyk logic Grz, introducing a simplified axiomatization and extending the analysis to its natural modal extensions, Grz.2 and Grz.3…

cs.CR2023

Flexible remote attestation of pre-SNP SEV VMs using SGX enclaves

Pedro Antonino, Ante Derek, Wojciech Aleksander Wołoszyn

We propose a protocol that explores a synergy between two TEE implementations: it brings SGX-like remote attestation to SEV VMs. We use the notion of a \emph{trusted guest owner},…

cs.CR2021

Guardian: symbolic validation of orderliness in SGX enclaves

Pedro Antonino, Wojciech Aleksander Wołoszyn, A. W. Roscoe

Modern processors can offer hardware primitives that allow a process to run in isolation. These primitives implement a trusted execution environment (TEE) in which a program can ru…

math.LO2020

Modal model theory

Joel David Hamkins, Wojciech Aleksander Wołoszyn

We introduce the subject of modal model theory, where one studies a mathematical structure within a class of similar structures under an extension concept that gives rise to mathem…

math.FA2018

Differentiability of continuous functions in terms of Haar-smallness

Adam Kwela, Wojciech Aleksander Wołoszyn

One of the classical results concerning differentiability of continuous functions states that the set of somewhere differentiable functions (i.e., functions which ar…

math.GN2015★ 4 cited

Ideal-like properties of generalized microscopic sets

Klaudiusz Czudek, Adam Kwela, Nikodem Mrożek +1

We show that not every family of generalized microscopic sets forms an ideal. Moreover, we prove that some of these families have some weaker additivity properties and some of them…