Pdf dynamic epistemic logic with assignment barteld. Since then, such logics have played a significant role not only in philosophy, but also in computer. So an epistemic logic for agents consists of copies of a. According to versions of the relevant alternatives and subjunctivist theories of knowledge, epistemic closure can fail. In a wider sense, it gives a formal account of the informational attitude that agents may have, and covers notions like knowledge, belief, uncertainty, and. Epistemic logic noun the noun epistemic logic has 1 sense 1. Epistemic logic definition of epistemic logic by the. Starting with relational models hw,r,vi, the semantics for. Epistemic logicgel, based on an extension to groups of traditional epistemic logic and on a generalization of the usual notion of epistemic model. Johan van benthem, dynamic logic for belief revision pdf last revised on january 24, 2019 at 11. In its applied form it has found considerable use in computer science and artificial intelligence introduction. Nov 14, 2016 this is a brief introduction to the epistemic logic, and the logic of the common knowledge. Towards an epistemic logic of concepts uni konstanz. Hintikka proposes a solution to the logical omniscience problem, whereby agents are treated as automatically knowing all consequences of what they know, in hintikka 1975.
As a combination of dynamic logic and epistemic logic, dynamic epistemic logic is a young field of research. Modal logic epistemic logic eric pacuit university of maryland, college park ai. New york university new york, new york leora morgenstern ibm watson research center hawthorn, new york august 28, 1983 1 introduction it is to the advantage of a thinking creature to be aware of knowledge and thought and to be able to reason about them. Though any logic with an epistemic interpretation may be called an epistemic logic, the most widespread type of epistemic logics in use at present are modal logics. Thus, taken literally, epistemic logic represents the logic of knowledge. Epistemic logic is the branch of modal logic concerning notions of knowledge and belief. It concludes with some nal remarks and discussion on the future work. The framework, derived from the study of justi cation logic, is adapted. Epistemic modalities are captured in epistemic modal logic, where necessity is interpreted as saying i know that proposition. Luis farinas del cerro, andreas herzig, ezgi iraz su. An explication of the difference between epistemic logic, doxastic logic, and justification logic, the logics of knowledge, belief and justification respectively minus the. Indicative conditionals and dynamic epistemic logic.
It shows how epistemic logic supplements temporal and other formal systems designed to specify and verify concurrent programs. Dec 08, 2015 an explication of the difference between epistemic logic, doxastic logic, and justification logic, the logics of knowledge, belief and justification respectively minus the reverb in the original. It really started in 1989 with plazas logic of public announcement. This book provides various logics to support such formal specifications, including proof systems. Consider a system of dynamic epistemic logic that extends the language of propositional modal logic with formulas of the form. Obviously, by itself, tweak ing the formal apparatus of epistemic logic does not solve traditional epistemological problems. Epistemic equilibrium logic luis farinas del cerro, andreas herzig, ezgi iraz su to cite this version.
Epistemic logic and, more generally, logics of knowledge and belief, originated with philosophers such as jaakko hintikka and david lewis in the early 1960s. Its object is to articulate and clarify the general principles of reasoning about claims to and attributions of knowledgeto elucidate their inferential implications and consequences. Chapter 2 epistemic logic and information as range epistemic logic was developed originally for the analysis of the philosophical notion of knowledge hintikka 1962, and as such, it has generated controversy. In subsequent sections, we show that correlated knowl. For simplicitys sake it is usually assumed that the agents are homogeneous, i. Moorean phenomena in epistemic logic, lori workshop, esslli 2010 1. Epistemic closure has been a central issue in epistemology over the last forty years. Dynamic epistemic logic is the logic of knowledge change.
Epistemic modal logic is a subfield of modal logic that is concerned with reasoning about knowledge. Epistemological topics discussed include mooreparadoxical phe. A modal epistemic logic for agents is obtained by joining together modal logics, one for each agent. Sowa this is a preprint of chapter 23 in epistemic logic. Epistemic logic is that branch of philosophical logic that seeks to formalize the logic of discourse about knowledge. It also contains an overview of the handbook, and a brief history of epistemic logic and pointers to the literature. Despite its various successful applications in theoretical computer science, ai, and game theory, the technical development of the field has been mainly focusing on the propositional part, i. Many epistemic logics are modal logics, whose language contains one or more knowledge operators and whose semantics is given in terms of. My work on epistemic logic developed from my research in artificial intelligence. In this book, we use it in a completely neutral manner, as a formalization of the notion information as range in the introduction. Temporalised epistemic logic for reasoning about agentbased. The starting point of dynamic epistemic logic del is therefore the logic of knowledge. While epistemology has a long philosophical tradition dating back to ancient greece, epistemic logic is a much more recent development with applications in many fields, including philosophy, theoretical computer science, artificial intelligence, economics and linguistics.
In this approach, the state of a distributed system is characterized using epistemic concepts, such as, the information available to. Modal epistemic logic at the beginning of epistemic logic, attempts were made to develop systems to describe actual knowledge of real agents. Request pdf on jan 1, 2008, hans van ditmarsch and others published dynamic epistemic logic find, read and cite all the research you need on researchgate. Epistemic equilibrium logic connecting repositories. Its object is to articulate and clarify the general principles of reasoning about claims to and attributions of knowledgeto elucidate their inferential implications and. Modern epistemic logic began with hintikka 1962, who developed kripkestyle semantics for epistemic notions and discussed appropriate axioms for knowledge and belief.
Epistemic logical topics discussed include the language and semantics of basic epistemic logic, multiagent epistemic logic, combined epistemic doxastic logic, and a glimpse of dynamic epistemic. This is a brief introduction to the epistemic logic, and the logic of the common knowledge. Typically, del focuses on situations involving multiple agents and studies how their knowledge changes when events occur. In modern philosophy, however, epistemic logic is used as a technical term not only for the logic of knowledge but also for the. Epistemic logic is the shining star of reschers provocative trilogy on realism, knowledge, and our cognitive imitations. Since then, such logics have played a significant role not only in philosophy, but also in computer science, artificial intelligence, and economics. Dynamic epistemic logic del is a logical framework dealing with knowledge and information change. Dynamic epistemic logic is the study of modal logics of model change. These events can change factual properties of the actual world they are called ontic events. The logic s5n is the smallest modal logic in which each k i is of type s5 i. Viwith w any set of points, r w wany relation, and v. Moorean phenomena in epistemic logic, lori workshop, esslli 2010 3. Epistemic logics are logics that allow one to reason about knowledge in some way.
We start by discussing the most celebrated models for epistemic logic, i. A founding publication is 42 we refer to 41 for an overview of epistemic logic and references. Del pronounced dell is a highly active area of applied logic that touches on topics in many areas, including formal and social epistemology, epistemic and doxastic logic, belief revision, multiagent and distributed systems, artificial intelligence, defeasible and nonmonotonic reasoning, and epistemic game theory. Epistemic logical topics discussed include the language and semantics of basic epistemic logic, multiagent epistemic logic, combined epistemic doxastic logic, and a glimpse of dynamic epistemic logic. Modal logic epistemic logic artificial intelligence. Epistemic logic has become a major field of philosophical logic ever since the groundbreaking work by hintikka 58. Epistemic logic stanford encyclopedia of philosophy. Temporalised epistemic logic for reasoning about agentbased systems ji ma.
This is not about one logical system, but about a whole family of logics that allows us to specify static and dynamic aspects of multiagent systems. In this paper, we propose a temporal epistemic logic, by combining an epistemic logic and a linear temporal logic using the temporalising technique proposed by finger and gabbay 4. Dynamic epistemic logic hans van ditmarsch springer. Dynamic lets just go with the dictionary on that one epistemic from the root word episteme which is a pressu. Epistemic logic noun the noun epistemic logic has 1 sense. Soundness of s4lp with respect to fmodels, theorems 3 and 4 of the current paper were established in 9. Temporalised epistemic logic for reasoning about agent. Behaviour of various degrees of complexity is based on di. Holliday university of california, berkeley abstract this chapter provides a brief introduction to propositional epistemic logic and its applications to epistemology. Epistemic logic is a promising tool for analyzing distributed systems.
On computing world views of epistemic logic programs. Doxastic and epistemic logic bibliography philpapers. No previous exposure to epistemic logic is assumed. The paper implements the reduction of dynamic epistemic logic 16, 2, 3, 1 to pdl given in 12. Dynamic epistemic logic stanford encyclopedia of philosophy. Moorean phenomena in epistemic logic lori workshop, esslli 2010 wes holliday and thomas icard logical dynamics lab, csli department of philosophy, stanford university august 16, 2010 wes holliday and thomas icard. The reduction of dynamic epistemic logic to automata pdl from 24 is also discussed and implemented. The logic s5n, and variations the logic s5 kt5 kt45 is often taken as the standard logic of rational knowledge for a single agent and kd45 weak s5 as the standard logic of belief. Temporalisation is a methodology for adding a temporal logic on top of another to generate a new logic system with temporal features. Cosc410 lecture 7 epistemic logic willem labuschagne university of otago 2016 introduction suppose we want to generalise belief change theory to a group of agents. Knowledge and belief are represented via the modal. Epistemic logic is a subfield of epistemology concerned with logical approaches to knowledge, belief and related notions.