Of particular value is the way it presents multiple voices on common topics. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. Modal companions a modal logic m s4 is amodal companionof an intermediate logic l ipc if for any propositional formula we have l iff m. We show how to expand an axiomatization, with canonical truthconstants in the language, of a finite residuated lattice into one of the modal logic, for each one of.
Good solid copy, mild to moderate readingage wear, no dj if issued, may have some light markings or exowner inscription. Modal logic was born in the early part of the 20th century as a branch of. Download pdf a new introduction to modal logic free. For completeness we have to prove that in the canonical model for d, r is serial. When we wrote it, we were able to give a reasonably comprehensive survey of the state of modal logic at that time.
This book is an introduction to modal logic, more precisely, to classically. The programme is then continued by defining a companion relation. In this paper, to these results we add descriptions of the modal logic of each metrizable stone space and of each extremally disconnected. When we wrote it, we were able to give a reasonably comprehensive survey of.
The title of this book might suggest that it is primarily a continuation of the authors wellknown introduction to modal logic 1968. This book was later replaced by a new introduction to modal logic 1996. Book note ge hughes and mj cresswell, a companion to modal. On the minimum manyvalued modal logic over a finite.
On intuitionistic modal and tense logics and their. The book takes readers from the most basic systems of modal propositional logic right up to systems of modal predicate with identity. An earlier book of ours, entitled an introduction to modal logic iml, was published in 1968. We take great pride in accurately describing the condition of our books and media, ship within 48 hours, and offer a 100% money back guarantee. A companion to philosophical logic wiley online books. The fundamental semantic notion in basic modal logic is truth of a formula at a state. It covers the full range of philosophical logic from its history through its philosophy to its applications, with a lot of good, solid logic all along the way. The polytheistic approach to modal logics alethic modal logic.
Pdl has a program companion to the modal invariance theorem of. A new introduction to modal logic is an entirely new work, completely rewritten by the authors. There is a signature or handwriting on the inside front cover. A companion to modal logic true rn any world w, then pis true m all worlds that w can see.