An introduction to modal logic 2009 formosan summer school on logic, language, and computation 29 june10 july, 2009. These notes are meant to present the basic facts about modal logic and so to provide a common. For a start, soon after frege and russell, modal logic made it scome. Manual of intensional logic van benthem, 1988a extends the canvas to linguistics and computer science, while the editorial introduction to the 2006 handbook of modal logic blackburn et al. Modern origins of modal logic stanford encyclopedia of. Aug 22, 2002 this is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. Phil 143 modal logic professor wesley holliday uc berkeley, spring 2018 tuth 1112.
Modal logic,volume 53 of cambridge tracts in theoretical computer science. Request pdf on jan 1, 2006, patrick blackburn and others published handbook of modal logic find, read and cite all the research you need on. For very precise introduction to basic multimodal logic. Neighborhood semantics for modal logic an introduction. Picture from the handbook meeting in amsterdam in 2004. We want the reader to gain an intuitive appreciation of this perspective, and. The book is both for novices and for more experienced readers, with two.
Studies in logic and practical reasoning handbook of modal. Notes on modal logic notes for phil370 eric pacuit. A semantic perspective 3 chapters in this handbook. The book series, logic and philosophy of time, is dedicated to a deep investigation and also the further development of priors paradigm. Handbook of modal logic by patrick blackburn overdrive. Independence of the dual axiom in modal k with primitive. This very extensive volume represents the current stateofa airs in modal logic. This is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. In axiomatizing these logics, they resort to an axiom that is not needed when is the modal primitive. The authors focus on the use of modal languages as tools to analyze the properties. Computational modal logic introduction ps pdf authors. For example, the following are all modal propositions. This site is like a library, use search box in the widget to get ebook that you want.
This very extensive volume represents the current statofa airs in modal logic. Aug 30, 2004 blackburn, patrick, notre dame journal of formal logic, 1993 note on a paper in tense logic bull, r. The polytheistic approach to modal logics alethic modal logic. It was first conceived for modal logics, and later adapted to intuitionistic logic and other nonclassical systems. This chapter introduces modal logic as a tool for talking about graphs. Modal logic is the study of modal propositions and the logical relationships that they bear to one another. Modal logic is a textbook on modal logic, intended for readers already acquainted with the elements of formal logic. Handbook of modal logic patrick blackburn, johan f. An overview of applications of modal logic in linguistics can be found in. The title reflects my conviction that, viewed semantically, modal logic is fundamentally dialogical. Sorry, this document isnt available for viewing at this time. Modal logic, alexander chagrov and michael zakharyaschev. Blackburn, patrick, notre dame journal of formal logic, 1993. Handbook of modal logic by blackburn et al but they cost too much for the average consumer or pathetically poor student.
Pdf modal logic as dialogical logic patrick blackburn. Modal logic by patrick blackburn cambridge university press. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. For example, modal logic can be given an algebraic semantics, and under this interpretation modal logic is a tool for talking about what are known as boolean algebras with operators. As we shall see, at this level the fundamental correspondence is between modal. The main goal of the corse is to understand the basic techniques, results and applications of neighborhood semantics for modal logic and to understand the exact relationship with the standard relational semantics. Cambridge core programming languages and applied logic modal logic by patrick blackburn.
February 2, 2010 x modal logic for open minds there are excellent introductions to modal logic today, of which p. Modal logic can be viewed broadly as the logic of different sorts of modalities, or modes of truth. Studies in logic and practical reasoning book series. Handbook of modal logic download ebook pdf, epub, tuebl. Patrick blackburn, johan van benthem, frank wolter. Times in tense logic meyer, ulrich, notre dame journal of formal logic, 2009. This is probably the best affordable reference text on modal logic with a heavy model theory slant which is certainly the current trend. Handbook of modal logic edited by johan van benthem, patrick blackburn and frank wolter. The development is mathematical prior acquaintance with firstorder logic and its semantics is assumed. Click download or read online button to get handbook of modal logic book now. A modala word that expresses a modalityqualifies a statement. An advanced, but very accessible, textbook focusing on the main technical results in the area. The handbook of modal logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing.
The book is for novices and for more experienced readers, with two distinct tracks clearly signposted at the start of each chapter. Handbook of modal logic, volume 3 1st edition elsevier. Moss, hansjorg tiede, applications of modal logic in linguistics, pp. Modal logic is a type of formal logic primarily developed in the 1960s that extends classical propositional and predicate logic to include operators expressing modality. Researchers in areas ranging from economics to computational linguistics have since realised its worth. But what kind of structures can modal logic talk about. For example, the statement john is happy might be qualified by saying that john is usually happy, in which case the term usually is functioning as a modal.
Handbook of modal logic download ebook pdf, epub, tuebl, mobi. Modal logic by patrick blackburn pdf, epub, fb2, djvu. The chellas text in uenced me the most, though the order of presentation is inspired more by goldblatt. Now available in paperback, this popular graduate text on modal logic, a field which has caught the attention of computer scientists, economists and computational linguists. Basic concepts in modal logic1 stanford university.
Edited by patrick blackburn, johan van benthem, frank wolter. The articles survey the field from a wide variety of perspecti. Modal logic cambridge tracts in theoretical computer science. Kripke semantics also known as relational semantics or frame semantics, and often confused with possible world semantics is a formal semantics for nonclassical logic systems created in the late 1950s and early 1960s by saul kripke and andre joyal. Modal logic is, strictly speaking, the study of the deductive behavior of the expressions it is necessary that and it is possible that. A semantic perspective patrick blackburn and johan van benthem abstract this chapter introduces modal logic as a tool for talking about graphs, or to use more traditional terminology, as a tool for talking about kripke models and frames.
810 1138 1156 779 497 969 1412 1293 971 1271 470 1049 742 991 1267 782 121 464 459 208 692 591 489 883 80 585 502 449 1218 1209 72 769 22 447 250 1430 373 1468 806 571 687 234 1110 868 1376 158 744 322 1162