First-order modal logic is very much under current development, with many different semantics proposed. The use of rigid objects goes back to Saul Kripke. More recently several se...
We introduce a natural deduction formulation for the Logic of Proofs, a refinement of modal logic S4 in which the assertion PA is replaced by [[s]]A whose intended reading is “s...
Constructive negation has been proved to be a valid alternative to negation as failure, especially when negation is required to have, in a sense, an `active' role. In this pa...
In this paper we considered the extension of the First-order Logic Bealer’s intensional abstraction operator. Contemporary use of the term ’intension’ derives from the tradit...