Large language models (LLMs) have shown strong performance across natural language reasoning tasks, yet their reasoning processes remain brittle and difficult to interpret. Prompting techniques like Chain-of-Thought (CoT) enhance reliability by eliciting intermediate reasoning steps or aggregating multiple outputs. However, they lack mechanisms for enforcing logical structure and assessing internal coherence. We introduce Theorem-of-Thought (ToTh), a novel framework that models reasoning as collaboration among three parallel agents, each simulating a distinct mode of inference: abductive, deductive, and inductive. Each agent produces a reasoning trace, which is structured into a formal reasoning graph. To evaluate consistency, we apply Bayesian belief propagation guided by natural language inference (NLI), assigning confidence scores to each step. The most coherent graph is selected to derive the final answer. Experiments on symbolic (WebOfLies) and numerical (MultiArith) reasoning benchmarks show that ToTh consistently outperforms CoT, Self-Consistency, and CoT-Decoding across multiple LLMs, while producing interpretable and logically grounded reasoning chains. Our findings suggest a promising direction for building more robust and cognitively inspired LLM reasoning. The implementation is available at https://github.com/KurbanIntelligenceLab/theorem-of-thought.

The PHerc.172 scroll as revealed by X-ray imaging An ancient Roman scroll has been read for the first time since it was charred in the volcanic eruption of Mount Vesuvius two millennia ago, thanks to artificial intelligence and a high-powered X-ray facility. The papyrus scroll was one of 1800 rescued from a single room in an ornate villa in the Roman town of Herculaneum during the 1750s, which is now the Italian town of Ercolano. All of them were carbonised by the heat of the volcanic debris that buried them. Initially, locals unknowingly burned the scrolls as firewood, but once it was discovered that they contained text, they were saved. Around 200 have since been painstakingly opened and read by mechanical devices based on clocks, which slowly tick and prise the scrolls open millimetre by millimetre.

This is not obvious since recent work has applied Hamiltonian/Lagrangian to general latent spaces as opposed to rigid body systems.

"We are building this company because we are enjoying the process and because we want to have an impact on this industry," Toth said. "We are not building this company for a quick sale." The company employs just under 60 people and is hiring aggressively, with expectations that a good 25% of its workforce will be new within the next few months. Plans also call for using the money to build up the brand. "We will be investing heavily into sales and marketing [and] hiring additional salespeople," Toth said, with potential marketing areas including thought leadership, content and channel partnerships.

Standing on the outskirts of Oakland, California, Attila Toth takes in the nearby forested hills. The CEO looks out on what locals call "The Town" and, in the distance, San Francisco, or "The City." Close by, Toth sees tangles of redwood, eucalyptus and oak trees – and the wildfire risk they pose. This "wildland-urban interface" isn't far from the site of the 1991 Oakland Hills Fire, which flared up suddenly in a heavily residential area. Over four days, 3,000 thousand homes were destroyed in one of the city's wealthiest neighborhoods, causing an estimated $1.5 billion in damages ($3.2 billion in today's dollars).

Standing on the outskirts of Oakland, California, Attila Toth takes in the nearby forested hills. The CEO looks out on what locals call "The Town" and, in the distance, San Francisco, or "The City." Close by, Toth sees tangles of redwood, eucalyptus and oak trees – and the wildfire risk they pose. This "wildland-urban interface" isn't far from the site of the 1991 Oakland Hills Fire, which flared up suddenly in a heavily residential area. Over four days, 3,000 thousand homes were destroyed in one of the city's wealthiest neighborhoods, causing an estimated $1.5 billion in damages ($3.2 billion in today's dollars).

While many people think of rats as pests, the rodents are actually highly intelligent animals. Now, one rat-owner has demonstarted just how'incredibly smart' his pets are, having trained them to play video games. Viktor Toth, 30, conducted the experiment to prove that rats are great decision makers and can be just as smart as humans whilst playing the shooting game, Doom. The rodents, Carmack, Romero, and Tom, who are named after the video game's creators, were able to independently navigate themselves through a series of mazes, open doors and even shoot monsters. A rat-owner has demonstarted just how'incredibly smart' his pets are, having trained them to play video games Mr Toth placed the rats on a moving ball in front of a computer screen, allowing them to play Doom in first-person character.

For all its promise of delivering a bold future, the green energy industry is still decidedly low tech when it comes to moving merchandise. Solar panels are still sold door-to-door, a slow and expensive process that has impeded the industry's growth. Now, a California startup thinks it has a solution, using sophisticated data science to find consumers likely to adopt solar power and let them know just how much they can save on their electric bills. PowerScout, a machine-learning-enabled eCommerce platform for solar energy, aims to eliminate marketing costs that, according to CEO Attila Toth, can exceed the cost of the actual equipment for some green-power vendors. "This is very absurd--very crazy," Toth says.