computationally irreducible

USAGE SUMMARY

The phrase "computationally irreducible" is correct and usable in written English.
It can be used in discussions related to computer science, complexity theory, or systems that cannot be simplified without losing essential information. Example: "The behavior of this system is computationally irreducible, meaning that we cannot predict its outcome without simulating every step."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Since no universal computer can outstrip any other, most things in the world are inherently unpredictable -- "computationally irreducible".

The New York Times - Science

Since no universal computer can outstrip any other, most things in the world are inherently unpredictable -- "computationally irreducible". Even if scientists found the ultimate rule that runs the universe, they wouldn't know what it did or said about, say, the masses of quarks or the origin of life, without running the program.

The New York Times - Science

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

There is irreducible difference.

The Guardian

They're irreducible.

The New York Times - Arts

But the mysteries are irreducible.

The New Yorker

This is biteability at its irreducible minimum.

The New York Times - Arts

JS: And the baseline is irreducible complexity?

The Guardian

JS: This is your "irreducible complexity" thesis?

The Guardian

"Our algorithm is faster and computationally simpler," Allesina says.

The New York Times

Computationally Modeling Interpersonal Trust.

Massachusetts Institute of Technology

It's computationally challenging.

Cornell University

Expert writing Tips

Best practice

When discussing the limits of predictability in complex systems, use "computationally irreducible" to emphasize that simulations are necessary for understanding behavior.

Common error

Avoid using "computationally irreducible" when you mean "computationally intractable". Intractability refers to problems that are theoretically solvable but require excessive resources, while irreducibility implies that no shortcut exists and every step must be simulated.

Linguistic Context

The phrase "computationally irreducible" functions as an adjective phrase modifying a noun. It describes a property of a system or process, indicating that its behavior cannot be simplified or predicted through computation, as shown by Ludwig.

Expression frequency: Rare

Frequent in

Science

40%

Academia

30%

News & Media

30%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "computationally irreducible" is a term used to describe systems where simulation is the only way to determine the outcome, as no computational shortcut exists. Ludwig AI identifies its primary function as an adjective phrase within formal and scientific contexts. It's crucial not to confuse it with "computationally intractable", which implies a problem is solvable but resource-intensive. As Ludwig shows, the phrase appears mainly in scientific, academic, and news contexts and should be employed when discussing inherent limitations in computational prediction.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

algorithmically irreducible

Focuses on the limitations of algorithms in simplifying or reducing a process.

algorithmically incompressible

Focuses on the inability to compress the underlying algorithm, emphasizing data size reduction limits.

inherently unpredictable

Highlights the uncertainty in outcomes due to the complexity of the computation.

complex beyond analytical solution

Highlights that the complexity prevents finding a direct mathematical solution.

computationally intractable

Emphasizes the infeasibility of solving a problem due to excessive computational requirements.

simulation-dependent

Emphasizes the necessity of running a full simulation to understand the system's behavior.

irreducible complexity

Shifts the focus to systems where removing a single component renders the whole system non-functional.

not amenable to computation

Describes situations where computational methods are unsuitable or ineffective.

non-deterministic polynomial-time hard

Denotes problems that are at least as hard as the hardest problems in NP, highlighting computational difficulty.

computationally unsolvable

Indicates that a solution cannot be found using computational methods.

FAQs

How to use "computationally irreducible" in a sentence?

You can use "computationally irreducible" to describe a system whose behavior can only be determined by running a full simulation, as no simplified model captures its dynamics. For example: "The system's behavior is "computationally irreducible", necessitating extensive simulations."

What does "computationally irreducible" mean?

"Computationally irreducible" refers to systems or processes for which there is no computational shortcut to predicting their behavior; every step must be simulated, as explained by Ludwig.

What can I say instead of "computationally irreducible"?

You can use alternatives like "inherently unpredictable" or "algorithmically incompressible", depending on the specific aspect you want to emphasize.

Is "computationally irreducible" the same as "computationally intractable"?

No, "computationally irreducible" and "computationally intractable" are not the same. "Computationally irreducible" means that the only way to determine the outcome is to simulate the entire process. "Computationally intractable" refers to problems that are theoretically solvable, but require impractical amounts of computational resources.