undecidable process

[/ˌʌndɪˈsaɪdəbəl ˈprɑːses/]
nounpl: undecidable processes
processo indecidível
1. In computability theory and mathematical logic, a computational process or problem for which no algorithm can be devised to determine whether a given input has a specific property or will terminate in a finite number of steps
The halting problem is a classic example of an undecidable process in computer science.
O problema da parada é um exemplo clássico de um processo indecidível na ciência da computação.
2. A procedure or algorithm whose outcome cannot be determined algorithmically for all possible inputs
Gödel's incompleteness theorem demonstrates the existence of undecidable processes in formal mathematical systems.
O teorema da incompletude de Gödel demonstra a existência de processos indecidíveis em sistemas matemáticos formais.
This is a specialized technical term primarily used in academic and research settings in both Brazil and Portugal. It is fundamental to computer science and mathematical logic education and is used identically across Portuguese-speaking academic communities. The concept is particularly important in Brazilian universities with strong computer science programs.
Synonyms / Sinônimos
undecidable problemunsolvable processalgorithmically undecidable processnon-computable process
Antonyms / Antônimos
decidable processcomputable processsolvable problemrecursive process

Regional Variations

General Brazilian
processo indecidível
Standard term used in academic and technical contexts
Portugal
processo indecidível
Same as Brazilian Portuguese; used in academic mathematics and computer science
Academic International
processo indecidível
Consistent terminology across Portuguese-speaking academic communities

Related Words

computability theoryhalting problemTuring machinealgorithmrecursionformal logicmathematical logicdecidability

Related Idioms & Phrases

beyond algorithmic determination
computationally unsolvable
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