This is a preview. Log in through your library . Abstract A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are ...

Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...

In the English as in most but not all languages (i.e. Chinese) number can be extracted from the noun leaving a lexical-propositional form of the noun. From book and books we get object predicate: 1.