A set-theoretic translation method for polymodal logics

Introducing Polymodal Neighbourhood Logics

In this paper, we start the study of polymodal neighbourhood languages. We provide a completeness result for the basic polymodal neighbourhood system and show how some important systems based on neighbourhood like semantics can be simulated as subsystems of ours.

Simulation of Modal Logics with Polymodal Logics

Mechanical Translation of Set Theoretic Problem Specifications

This paper illustrates a fully automatic top-down approach to program development in which formal problem specifications are mechanically translated into efficient RAM code. This code is guaranteed to be totally correct and an upper bound on its worst case asymptotic running time is automatically determined. The user is only required to supply the system with a formal problem specification, and...

Modal Deduction in Second-Order Logic and Set Theory - II

In this paper, we generalize the set-theoretic translation method for polymodal logic introduced in 11] to extended modal logics. Instead of devising an ad-hoc translation for each logic, deening a new set-theoretic function symbol for each new modal operator, we develop a general framework within which a number of extended modal logics can be dealt with. More precisely, we extend the basic set...

On The Modal Logics of Some Set-Theoretic Constructions