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Kudos AI

Tagged “logic”

2 articles.

4 min readLogic and Knowledge

A Million Clauses, or Sixty-One

Converting one short formula to conjunctive normal form by distributing gives 1,048,576 clauses and 20,971,520 literals; naming the subformulas gives 61 clauses and 160 literals, a factor of 131,072 in literals, and loses nothing at all - the two have the same number of models, checked exhaustively. The encoding is where a satisfiability problem is won or lost, not the solver.

Artificial IntelligenceMathematics
9 min readLogic and Knowledge

Logic and Knowledge Representation

Reasoning about what must be true: models and entailment worked by exhaustive enumeration, soundness and completeness, why propositional logic runs out of expressive power, and where first-order logic picks up.

Knowledge RepresentationArtificial Intelligence