Formal system
Mathematical model for deduction or proof systems / From Wikipedia, the free encyclopedia
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A formal system is an abstract structure and formalization of an axiomatic system used for inferring theorems from axioms by a set of inference rules.[1]
In 1921, David Hilbert proposed to use formal systems as the foundation of knowledge in mathematics.[2]
The term formalism is sometimes a rough synonym for formal system, but it also refers to a given style of notation, for example, Paul Dirac's bra–ket notation.