1 / 7

Intro to Logic

Intro to Logic. Propositional logic. Inference Rules. First-order Logic. Logic Proofs & Deduction. Use re-write rules to “deduce” from what is known to what is unknown. These rules can be quite complex. This idea can be used to create Automatic Theorem Provers . Limitations.

indiya
Download Presentation

Intro to Logic

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Intro to Logic

  2. Propositional logic

  3. Inference Rules

  4. First-order Logic

  5. Logic Proofs & Deduction • Use re-write rules to “deduce” from what is known to what is unknown. • These rules can be quite complex. • This idea can be used to create Automatic Theorem Provers.

  6. Limitations • Search Space Size (Generate Heuristics!) • Formalizing Intuition (Generate Heuristics!) • Propositional Logic is decidable (statements provable in finite time), but FOL is semi-decidable (only decidable if true, otherwise may be infinite). • Higher-order logics are incomplete (true statements not provable) according to Godel. • Doesn’t apply to probabilistic situations.

  7. Next up… • Prolog: Programming Logic • Takes First-order logic statements and does all of the resolution for you, finding what is true according to the premises and what is not.

More Related