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formal system

[/ˈfɔːrməl ˈsɪstəm/]
nounpl: formal systems
sistema formal
1. A system of abstract thought based on the structure of formal logic, consisting of symbols, rules, and axioms used to derive theorems
A formal system in mathematics provides a rigorous framework for proving theorems.
Um sistema formal em matemática fornece um arcabouço rigoroso para provar teoremas.
2. In logic and computer science, a set of symbols and rules for combining them to produce well-formed formulas
The formal system of propositional logic uses symbols like ∧, ∨, and ¬.
O sistema formal da lógica proposicional usa símbolos como ∧, ∨ e ¬.
Synonyms
formal languagelogical systemaxiomatic systemdeductive system
Antonyms
informal systemnatural language

Regional Variations

General Brazilian
sistema formal
Standard usage in academic and technical contexts
Portugal
sistema formal
Same as Brazilian Portuguese; used in logic and mathematics

Related Idioms & Phrases

within the formal system
formal system of rules
formal system of notation
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