Current Slide

Small screen detected. You are viewing the mobile version of SlideWiki. If you wish to edit slides you will need to use a larger device.

Deductive (proof) systems

  • Semantic methods for checking logical entailment have the merit of being conceptually simple; they directly manipulate interpretations of sentences

  • Unfortunately, the number of interpretations of a language grows exponentially with the number of logical constants.

    • When the number of logical constants in a propositional language is large, the number of interpretations may be impossible to manipulate.

  • Deductive (proof) systems provide an alternative way of checking and communicating logical entailment that addresses this problem

    • In many cases, it is possible to create a “proof” of a conclusion from a set of premises that is much smaller than the truth table for the language;

    • Moreover, it is often possible to find such proofs with less work than is necessary to check the entire truth table


Speaker notes:

Content Tools

Sources

There are currently no sources for this slide.