This is a preview. Log in through your library . Abstract Deductive inference is usually regarded as being "tautological" or "analytical": the information conveyed by the conclusion is contained in ...

We show that the relational semantics of the Lambek calculus, both nonassociative and associative, is also sound and complete for its extension with classical propositional logic. Then, using ...

We are hardly ever consciously aware that we use logic to solve everyday problems. But what is logic? Is the logic used to prove theorems in mathematics the same kind that we use for our practical ...