Model Theory - part 05 - Rules of Inference

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This video is about rules on inference and provability. Olivia Caramello's notes were used in putting this together.
  1. Taylor Dupuy
  2. Logic
  3. Model Theory
  4. Rules of Inference
  5. Topoi
  6. Topos
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Thank you for this video series, they have been very insightful for me.
I have a question regarding your hierarchy of horn formulas, regular formulas, coherent formulas, etc.
In the literature wherever I look I can't seem to find these fragments of FOL.
Horn clauses for example include (not and or) on wikipedia.

Also do atomic formulas contain literals (relations and relations with not in front of them)?

TheKivifreak
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Aren’t they called “bound” variables, not “bounded”? It should come from the past tense of “bind”...

harrisongoldstein