TYPE.WEBSITE

Milan Rosko
Logician & Designer

Constructive Logic, Proof Theory,
Realizability Interpretation,
Type Theory, Linear Algebra.

Information Design, Motion Design, Signage

Projects and formal logic:

  • Universal Cubic Diophantines (bounded theorem-check artifacts) .html
  • “Carryless Pairing” .html
  • “Typed Repair” vs Gradient Descent (trace-verifiable learning) .html
  • The “Reflexica” repository GitHub
  • Variations on Cistercian Numerals .html

Selected Publications:

  • 2026, Proof by Mechanization: Cubic Diophantine Equation Satisfiability is $\Sigma^0_1$-Complete arXiv
  • 2025, Adversarial Barrier in Uniform Class Separation arXiv
  • 2025, On the Realizability of Prime Conjectures in Heyting Arithmetic arXiv

My earlier work in design cultivated a lasting interest in structural clarity and disciplined abstraction. That path eventually led to formal logic, with a particular emphasis on first-order systems and constructive semantics.

My current research examines how impredicativity behaves when separated from the full classical apparatus. The goal is to restrict unnecessary ontological commitments while retaining constructive control over expressive resources under the Brouwer–Heyting–Kolmogorov Interpretation.

In the mid-20th century, the cybernetic vision was ahead of its institutional time. Today, software mediates most coordination, security is adversarial, and “proof” increasingly means verifiable procedure. Hence the constructive viewpoint is no longer only philosophical; it is a practical epistemology for computational civilization.

Contact:

  • hi$\texttt{\,\char64\,}$milanrosko.com

Links:

How to cite:

  • BibTeX format .txt
Portrait
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1Name, occupation, interests
2Trail of a parametric polycurve
3Selected works
4About
5Contact, related links, legal
6Portrait from 2014
7Spatial probability distribution
8Monogram ligature