The difference between Formal system and Logical system
When used as nouns, formal system means the grouping of a formal language and a set of inference rules and/or axioms, whereas logical system means a formal system.
check bellow for the other definitions of Formal system and Logical system
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Formal system as a noun (logic):
The grouping of a formal language and a set of inference rules and/or axioms.
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Logical system as a noun (logic):
A formal system.