Formal system
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In formal logic, a formal system consists of a formal language and a set of inference rules, used to derive (to conclude) an expression from one or more other premises that are antecedently supposed (axioms) or derived (theorems). The axioms and rules may be called a deductive apparatus. A formal system may be formulated and studied for its intrinsic properties, or it may be intended as a description (i.e. a model) of external phenomena.
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See also
- Axiomatic system
- Formal ethics
- Lambda calculus
- Calculus of Communicating Systems
- <math>\pi</math>-calculus
- Proof calculus
- Propositional calculus
- Other related topics
- Axiom
- Formal
- Formal language
- Formal method
- Formal science
- Gödel's incompleteness theorems
- QED manifesto
- substitution instance
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