Probabilistic Logic

@article{Nilsson1986ProbabilisticL,
  title={Probabilistic Logic},
  author={Nils J. Nilsson},
  journal={Artif. Intell.},
  year={1986},
  volume={28},
  pages={71-87}
}
  • N. Nilsson
  • Published 1 February 1986
  • Philosophy, Computer Science
  • Artif. Intell.
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1,371 Citations
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1,371 Citations

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A semantical generalization of logic in which the truth values of sentences are probability values between 0 and 1, which applies to any logical system for which the consistency of a finite set of sentences can be established.

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Incidence calculus: A mechanism for probabilistic reasoning

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It is argued that a purely numeric mechanism, like those proposed so far, cannot provide a probabilistic logic with truth functional connectives, and an alternative mechanism, Incidence Calculus, which is based on a representation of uncertainty using sets of points, which might represent situations models or possible worlds.

Evidential logic and Dempster-Shafer theory

Nilsson's probabilistic logic is extended, a semantic generalization of logic, in which the truth value of a sentence is a probability value between Ø and 1 to evidential logic in the framework of Dempster-Shafer theory.

Anytime Deduction for Probabilistic Logic

Foundations of Probabilistic Logic

It is proved that a complete theory of probabilistic logic requires the a priori assignment of probabilities for a system with k basic propositions and a proposal due to Cheeseman, namely, to regard measures of confidence in knowledge systems as expectations that are conditioned on unknown distributions does not work in general.

Probabilistic reasoning in a classical logic

Some extensions of probabilistic logic

Probabilistic Reasoning in the Description Logic ALCP with the Principle of Maximum Entropy

This work introduces the probabilistic description logic ALCP, a logic designed for representing context-dependent knowledge, where the actual context taking place is uncertain, and provides reasoning algorithms for this logic, which satisfies several desirable properties of Probabilistic logics.
...

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