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18 lines
1 KiB
Markdown
18 lines
1 KiB
Markdown
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title: "Theorem Proving Definitions"
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date: 2019-12-29T11:21:07-05:00
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draft: false
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images: []
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math: true
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---
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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.
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| Word | Definition |
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| ------------ | ------------------------------------------------------------ |
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| Modus Ponens | If $P$ implies $Q$ and $P$ is asserted to be true, then $Q$ must be true. |
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| Complete | If every formula having the property can be derived using the system. (i.e The system does not miss a result) |
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| Decidable | An effective method exists for deriving the correct answer in a finite time. |
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| 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) |
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Hopefully, I'll come back and add more terms as I get confused.
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