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2020-01-15 21:51:49 -05:00

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Theorem Proving Definitions 2019-12-29T11:21:07-05:00 false

When I look into a new field, sometimes I get confused by the whole new set of vocab terms I need to encounter. This post will serve to keep me straight with the terms involved in theorem proving.

Word Definition
Modus Ponens If P implies Q and P is asserted to be true, then Q must be true.
Complete If every formula having the property can be derived using the system. (i.e The system does not miss a result)
Decidable An effective method exists for deriving the correct answer in a finite time.
Sound Every formula that can be proved in the system is logically valid with respect to the semantics of the system. (i.e The system does not produce a wrong result)

Hopefully, I'll come back and add more terms as I get confused.