根据《普通高中生物学课程标准》的要求，学生应该在学习过程中逐步发展科学思维。 According to the requirements of the General Senior Secondary School Biology Curriculum Standards, students should gradually develop scientific thinking ...

Recent advances in Vision Language Models (VLMs) have shown significant progress in mathematical reasoning, yet they still face a critical bottleneck with problems that require visual assistance, such ...

Recently, Artificial Intelligence (AI) has reached a historic milestone in one of the world’s toughest math contests, the International Mathematical Olympiad (IMO). Google DeepMind’s Gemini Deep Think ...

Abstract: We propose a hybrid formal verification approach that combines high-level deductive reasoning and circuit-based reasoning and apply it to highly optimized cryptographic assembly code. Our ...

While DeepSeek-R1 has significantly advanced AI’s capabilities in informal reasoning, formal mathematical reasoning has remained a challenging task for AI. This is primarily because producing ...

There’s a curious contradiction at the heart of today’s most capable AI models that purport to “reason”: They can solve routine math problems with accuracy, yet when faced with formulating deeper ...

Math offers us lots of problem-solving techniques that help us distill the essence of questions. Many of us will be familiar with reading a math problem, and needing to figure out what's being asked, ...

Large Language Models (LLMs) have made notable progress in mathematical reasoning, yet often rely on single-paradigm reasoning, limiting their effectiveness across diverse tasks. We introduce Chain-of ...

Inductive reasoning is a critical skill that enables individuals to make sound decisions by drawing general conclusions from specific observations. Whether you’re working on a high-stakes business ...

Despite great performance on Olympiad-level reasoning problems, frontier large language models can still struggle on high school math. We study the nature of language models’ (LM) reasoning by ...