"Undecidable problem" is a noun phrase.
/ʌnˈdɛsɪdəbl ˈprɒbləm/
An "undecidable problem" in computer science and mathematics refers to a problem for which no algorithm can be constructed that will always lead to a correct yes-or-no answer. This concept is pivotal in fields such as logic, theoretical computer science, and mathematics.
The term is commonly used in academic and theoretical contexts, particularly within computer science, mathematics, and philosophy. It is more frequently encountered in written contexts like research papers, textbooks, and academic discussions than in spoken conversation.
The Halting Problem is an example of an undecidable problem, as no algorithm can determine whether a given program will terminate.
Проблема остановки является примером undecidable проблемы, так как ни один алгоритм не может определить, завершится ли данная программа.
Many researchers in computer science strive to identify undecidable problems within complex systems.
Многие исследователи в области информатики стремятся определить undecidable проблемы в сложных системах.
The concept of an undecidable problem challenges our understanding of computation and algorithm design.
Понятие undecidable проблемы ставит под сомнение наше понимание вычислений и разработки алгоритмов.
While "undecidable problem" does not appear in many idiomatic expressions, its components can be part of various technocratic discussions. Below are some examples that involve the idea of indecision or uncertainty.
"We face an undecidable problem daily, and it makes project planning incredibly difficult."
Каждый день мы сталкиваемся с undecidable проблемой, и это делает планирование проекта невероятно сложным.
"In many cases, the undecidable problem leads to endless debates among mathematicians."
Во многих случаях undecidable проблема приводит к бесконечным дебатам среди математиков.
"Dealing with an undecidable problem often requires innovative thinking and creativity."
Работа с undecidable проблемой часто требует инновационного мышления и креативности.
The term "undecidable" stems from the prefix "un-", meaning "not," combined with the word "decidable," which derives from the Latin "decidere," meaning "to decide."