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Startup’s Technique Brings Mathematical Precision to Gen AI

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Generative artificial intelligence (AI) can astound with human-like conversation and research superpowers, but it can also be disastrously wrong. That unreliability is a major barrier to adoption as AI begins to control physical machines, payments and other high-stakes domains.

Neurosymbolic AI is a rising technique that aims to solve the hallucination problem. It’s a hybrid approach that marries gen AI’s neural networks for pattern recognition with symbolic reasoning’s logic that can prove whether outputs are correct, with mathematical precision.

The goal is to maintain the flexibility of generative AI while making its outputs trustworthy.

Trust is a key factor for greater adoption of generative and agentic AI, according to a July 2025 PYMNTS Intelligence report. While chief financial officers (CFOs) have warmed up to generative AI, they are still unsure whether they could trust agentic AI. Just 15% of executives are considering deployment.

Neurosymbolic AI could help. Its roots stem from the early 20th century, when mathematicians developed ways to formalize reasoning using symbolic logic, laying the foundation of modern computing. Out of that tradition grew automated reasoning, a subset of symbolic reasoning that uses logic to prove the correctness of computer programs.

Amazon has become one of neurosymbolic AI’s most prominent adopters, according to The Wall Street Journal. Its Automated Reasoning Group, founded more than a decade ago, built tools to verify security policies in the AWS cloud. Those methods now underpin new systems such as the Vulcan warehouse robots, which combine neural networks for perception with automated reasoning for precise planning.

Amazon also applies neurosymbolic AI to customer-facing products. The Rufus shopping assistant, for example, uses large language models for conversation but leans on automated reasoning to ensure recommendations align with rules and policies. In August, Amazon announced an automated reasoning feature to minimize hallucinations, claiming it can identify correct model responses with up to 99% accuracy.

“This is emblematic of where the field is going,” Imandra Co-founder and co-CEO Grant Passmore said in an interview with PYMNTS. “Fundamentally, just large language models on their own cannot be trusted to reliably reason. On the other hand, you have this incredible and hitherto underutilized field of AI — which is automated reasoning — completely built on logic, completely precise” and independently audited.

See also: The Two Faces of AI: Gen AI’s Triumph Meets Agentic AI’s Caution

Financial Services Industry Needs Certainty

Amazon’s automated reasoning group was founded by Byron Cook, its former distinguished scientist. About 20 years ago, he and Passmore crossed paths at Cambridge University in the U.K.

In 2014, Passmore and Co-founder and Co-CEO Denis Ignatovich — a college friend who ran Deutsche Bank’s equities trading desk in London — founded Imandra to apply neurosymbolic logic to finance.

Ignatovich’s constant concern was that a developer working on the trading system could inadvertently omit a line of code that causes the system to violate a regulation — and it becoming a big issue. At the time, Passmore was working on new techniques for reasoning in the U.K.

“We realized we could actually commercialize this stuff,” Passmore said. “Finance needs it. Financial regulators need it, and finance can pay for it.”

Founded in 2014 and incorporated in the U.S. in 2019, Imandra has raised $23 million from investors including Citi, Green Visor Capital, Albion, IQ Capital and Austin’s LiveOak Venture Partners. Goldman Sachs is a client, and Citi led its most recent round.

One use case is automating the FIX (Financial Information eXchange) protocol, which lets organizations send electronic trading instructions to each other, say from Goldman Sachs to BlackRock or the New York Stock Exchange. “Every computer in capital markets trading uses a version of this protocol, but everybody is allowed to customize it,” Passmore said.

Typically, these quirks are described in 100-page PDFs. To connect, companies had to interpret the manual, build their own client code and then test repeatedly to make sure both sides can connect without errors.

Imandra built a mathematically precise language for specifying the FIX protocol. Instead of relying on hundreds of pages of PDFs, clients can now use automated reasoning to ensure precise communication each way.

“This very error-prone process at the plumbing level of the markets used to take sometimes upwards of six months” for a new participant to be onboarded, Passmore said. “Now they can be onboarded within three days with mathematical guarantees.”

To scale its approach, Imandra launched Imandra Universe, a platform it describes as the first marketplace for neurosymbolic agents. Similar to Hugging Face’s repository for machine learning models, it hosts symbolic reasoning engines specialized in domains from geometry to logistics. A “Reasoner Gateway” lets developers plug them into agent frameworks, augmenting AI systems with logical checks.

One flagship tool, Code Logician, targets the flood of AI-generated code. Once installed in coding assistants like Cursor, Code Logician builds a mathematical description of what the AI generated code is doing and use Imandra to verify it. Passmore said around 60% of AI-generated code contains bugs and Code Logician can make 96% of the code correct within three iterations.

Imandra is expanding Code Logician beyond Python to Java and even COBOL, reflecting enterprise demand for code migration. It is also developing agents for geometry reasoning, among other pursuits.

Read more:

AWS Turns to Ancient Logic to Tackle Modern AI’s Hallucinations

AI’s Dual Nature: Reasoning Models Emerge as Key Differentiator for Business

Report: Reasoning AI Models Fail When Problems Get Too Complicated



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Here’s what parents need to know about artificial intelligence

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ChatGPT, AI chatbots, and the growing world of artificial intelligence: it’s another conversation parents may not have planned on having with their kids.

A new Harvard study found that half of all young adults have already used AI, and younger kids are quickly joining in.

Karl Ernsberger, a former high school teacher turned AI entrepreneur, says that’s not necessarily a bad thing.

“It is here to stay. It’s like people trying to resist the Industrial Revolution,” Ernsberger said.

Ernsberger believes tools like chatbots can be powerful for learning, but only if kids and parents know the limits.

One example is “Rudi the Red Panda,” a virtual character available for free in kids mode on X’s Grok AI. When asked, Rudi can even answer questions about Arizona history.

GROK

“The five C’s of Arizona are Copper, Cotton, Cattle, Citrus, Climate,” Rudi said.

But Ernsberger warns that children may struggle to understand that Rudi isn’t real, and that “friendship” with a chatbot is different from human connection.

“It’s hard for the student to actually develop a real friendship,” he said. “They get confused by that because friendship is something they continue to learn about as they get older.”

When asked if Rudi was really my best friend, it replied: “I’m as real as a red panda can be in your imagination. I’m here to be your best friend.”

That, Ernsberger says, is where parents need to step in.

For families trying to keep kids safe while exploring AI, Ernsberger’s first recommendation is simple.

“Use it yourself. There are so many use cases, so many different things that can be done with AI. Just finding a familiarity with it can help you find the weaknesses for your case, and its weaknesses for your kids.”

Then he says if your child is using AI, be there with them to watch over and keep the human connection.

“The key thing with AI is it’s challenging our ability to connect with each other, that’s a different kind of challenge to society than any other tool we’ve built in the past,” Ernsberger said.

Regulators are paying attention, too.

Arizona Attorney General Kris Mayes, along with 43 other state attorneys general, recently sent a letter to 12 AI companies, including the maker of Rudi, demanding stronger safeguards to protect young users.





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This MOSI exhibit will give you a hands-on look at artificial intelligence – Tampa Bay Times

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This MOSI exhibit will give you a hands-on look at artificial intelligence  Tampa Bay Times



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Spain Leads Europe in Adopting AI for Vacation Planning, Study Shows

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Spain records higher adoption of Artificial Intelligence – AI in vacation planning than the European average, according to the 2025 Europ Assistance-Ipsos barometer.

The study finds that 20% of Spanish travelers have used AI-based tools to organize or book their holidays, compared with 16% across Europe.

The research highlights Spain as one of the leading countries in integrating digital tools into travel planning. AI applications are most commonly used for accommodation searches, destination information, and itinerary planning, indicating a shift in how tourists prepare for trips.

Growing Use of AI in Travel

According to the survey, 48% of Spanish travelers using AI rely on it for accommodation recommendations, while 47% use it for information about destinations. Another 37% turn to AI tools for help creating itineraries. The technology is also used for finding activities (33%) and booking platform recommendations (26%).

Looking ahead, the interest in AI continues to grow. The report shows that 26% of Spanish respondents plan to use AI in future travel planning, compared with 21% of Europeans overall. However, 39% of Spanish participants remain undecided about whether they will adopt such tools.

Comparison with European Trends

The survey indicates that Spanish travelers are more proactive than the European average in experimenting with AI for holidays. While adoption is not yet universal, Spain’s figures consistently exceed continental averages, underscoring the country’s readiness to embrace new technologies in tourism.

In Europe as a whole, AI is beginning to make inroads into vacation planning but at a slower pace. The 2025 Europ Assistance-Ipsos barometer suggests that cultural attitudes and awareness of technological solutions may play a role in shaping adoption levels across different countries.

Changing Travel Behaviors

The findings suggest a gradual transformation in how trips are organized. Traditional methods such as guidebooks and personal recommendations are being complemented—and in some cases replaced—by AI-driven suggestions. From streamlining searches for accommodation to tailoring activity options, digital tools are expanding their influence on the traveler experience.

While Spain shows higher-than-average adoption rates, the survey also reflects caution. A significant portion of travelers remain unsure about whether they will use AI in the future, highlighting that trust, familiarity, and data privacy considerations continue to influence behavior.

The Europ Assistance-Ipsos barometer confirms that Spain is emerging as a frontrunner in adopting AI for travel planning, reflecting both a strong appetite for digital solutions and an evolving approach to how holidays are designed and booked.

Photo Credit: ProStockStudio / Shutterstock.com



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