ABSTRACT: This paper proposes a quantum algorithm for solving the tautology and the satisfiability problems for a Boolean formula. Let’s say we are given a Boolean formula. The variables of the ...

This paper proposes a quantum algorithm for solving the tautology and the satisfiability problems for a Boolean formula. Let’s say we are given a Boolean formula. The variables of the Boolean formula ...

Ready to unlock your full math potential? 🎓Subscribe for clear, fun, and easy-to-follow lessons that will boost your skills, build your confidence, and help you master math like a genius—one step at ...

Unified repository for Spectral Complexity Theory — papers, tools, datasets, and the visualization platform for analyzing problem solvability and logical structure.

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Modern AI excels at pattern recognition but suffers when faced with logical reasoning tasks. What happens when we ask a neural network to solve a Sudoku puzzle from an image, verify a mathematical ...

From the UCSB The Current article "Innovative Hardware for Rapidly Solving High-order Optimization Problems" The rise of AI, graphic processing, combinatorial optimization, and other data-intensive ...

Automated reasoning (AR) is a branch of artificial intelligence that applies various reasoning techniques to solve problems from mathematics and logic. AR engines use clever optimizations and ...

I consider myself a computer science (CS) theoretician, but Wikipedia describes me as a “mathematician and computer scientist.” a So, what am I? To answer that question, we must consider theoretical ...