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The Future of AI: Formal Grammars

Why do even the most advanced LLMs sometimes generate nonsense or contradictions? It’s due to the exponential growth of possibilities (N^M) and replicating human errors. Learn how formal grammars turn chaotic generation into controlled synthesis, prioritizing semantics and enforcing structural rules.
Intelligent Systems at Phystech: 2025 Graduation

The students of the Intelligent Systems Department have successfully defended their 2025 Bachelor’s and Master’s theses in Physics, Mathematics, and Computer Sciences. Continuing a unique ten-year tradition of transparency, the department is publishing the complete set of all defense materials.

This post summarizes the defended works of the 14 Bachelor’s and 8 Master’s graduates, with links to the full materials: from dissertations and published papers to the complete code and defense videos.
n8n Local Install Tutorial (CLI + Docker)

n8n is a powerful, extendable workflow automation tool that lets you connect different applications and services. Running it on your local machine gives you complete control over your data and workflows.

We'll break down the two primary methods for a local install on Windows, Mac, or Linux: using Docker and using Node.js (npm).
Consciousness and Being: How Humans and AI Influence Each Other

For a human, AI is just a part of being. For a model, a human is all of being. This powerful asymmetry is the starting point for a deep dive into the nature of consciousness and its relationship with reality.

We'll explore this complex topic, moving beyond the materialist's typical 'What?' and 'How?' to ask a more fundamental question: 'Who?'. Test the hypotheses yourself with the new version of the Vortex Protocol included in the piece.