1.2 Semantic Notions

Given a model of appropriate vocabulary, a sentence such as is either true or false in that model. To put it more formally, there is a relation called truth which holds, or does not hold, between sentences and models of the same vocabulary. Now, how to verify if a given sentence is true in a given model is obvious in most cases (for example, in order to check the truth of we simply need to check if every individual in the model is a moron). What is not so clear is how to give a precise definition of this relation for arbitrary sentences. This is going to be the problem this section deals with.



Aljoscha Burchardt, Stephan Walter, Alexander Koller, Michael Kohlhase, Patrick Blackburn and Johan Bos
Version 1.2.5 (20030212)