Examples and Counterexamples Problem. Does there exist a power of that starts with ? We can find an example of such a number using the following snippet. for n in range(100): if int(str(2 ** n)[:2]) ...

Abstract: The method of finding the second-order counterexample of the discrete-time Kalman Conjecture and corresponding counterexamples’ trajectory characteristics has been listed in this article ...

Mathematical Large Language Models (LLMs) have demonstrated strong problem-solving capabilities, but their reasoning ability is often constrained by pattern recognition rather than true conceptual ...

In this slide we introduce the Truth Tree Method which is a technique proving that a conclusion formula $C$ in Propositional Logic is a logical consequence of a set ...