Research & Self-Study

Deep explorations in theoretical CS, AI, logic, and the foundations of intelligent systems

🔢

Theoretical Computer Science

My foundational self-study in TCS aims to deeply understand the limits and capabilities of computation, influencing robust algorithm design and complex system analysis.

  • Discrete Mathematics: Exploring combinatorics, graph theory, and number theory for algorithmic problem-solving.
  • Automata Theory & Computability: Delving into finite automata, pushdown automata, Turing machines, and the theory of NP-completeness.
  • Algorithms & Data Structures: Advanced study of efficient computational methods beyond standard curricula.
  • Key Texts: Concrete Mathematics by Graham, Knuth, Patashnik; various resources on advanced algorithms.
🧠

AI & Cognitive Systems

A strong focus on the theoretical underpinnings of artificial intelligence, including agent design, decision theory, and the philosophical implications of machine cognition.

  • Agent Theory: In-depth study of rational agents, environments, and their interaction models.
  • Decision Theory: Understanding formal frameworks for decision-making under uncertainty and risk.
  • Cognitive Architectures: Exploring computational models of the human mind and their relevance to AI design.
  • Key Texts: Artificial Intelligence: A Modern Approach (AIMA) by Russell & Norvig; seminal papers on cognitive science.
∞

Logic & Philosophy of Computing

Dedicated exploration of raw logic, its application in computing, and the broader philosophical questions arising from advanced technology and intelligence.

  • Formal Logic: Delving into propositional, predicate, and modal logics, including proof theory and model theory.
  • Philosophy of Mind & AI: Examining consciousness, free will, and the nature of intelligence in both biological and artificial systems.
  • Ethical AI Philosophy: Engaging with ethical frameworks, societal impact, and the responsibility of AI developers.
  • Key Texts: Works on meta-logic, philosophy of language, and contemporary ethics in technology.
Back to Home