On the Logic of Common Belief

نویسنده

  • Giacomo Bonanno
چکیده

We investigate an axiomatization of the notion of common bel ief (knowledge) that makes use of no rules of inference (apart from Modus Ponens and Necessitat ion) and highl ight the property of the set of accessibi l i ty relat ions that characterizes each axiom. Mathernatics Subject Classif icat ion: 03845, 68T25.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The inner logic of love (the Phenomenology of the life experience of love)

One of the most important issues in social life, that have been busy human minds in different ways is "romantic relationships." The purpose of this study was explored the life experience of love and discover of its inner logic. For this purpose, with a phenomenological approach, 14 students (Isfahan University and Isfahan University of Technology) who had experienced "love" were interviewed in ...

متن کامل

Common Belief with the Logic of Individual Belief

The logic of common belief does not always re‡ect that of individual beliefs. In particular, even when the individual belief operators satisfy the KD45 logic, the common belief operator may fail to satisfy axiom 5. That is, it can happen that neither is A commonly believed nor is it common belief that A is not commonly believed. We identify the intersubjective restrictions on individual beliefs...

متن کامل

Reasoning about Fuzzy Belief and Common Belief: With Emphasis on Incomparable Beliefs

We formalize reasoning about fuzzy belief and fuzzy common belief, especially incomparable beliefs, in multi-agent systems by using a logical system based on Fitting’s many-valued modal logic, where incomparable beliefs mean beliefs whose degrees are not totally ordered. Completeness and decidability results for the logic of fuzzy belief and common belief are established while implicitly exploi...

متن کامل

Intuitionistic common knowledge or belief

Starting off from the usual language of modal logic for multi-agent systems dealing with the agents’ knowledge/belief and common knowledge/belief we define so-called epistemic Kripke structures for intuitionistic (common) knowledge/belief. Then we introduce corresponding deductive systems and show that they are sound and complete with respect to these semantics.

متن کامل

On modal logics of group belief

We overview the existing philosophical accounts of group belief, including both aggregative (or reductionist) approaches reducing collective belief to individual beliefs and non-reductionist approaches ascribing beliefs to the group as a whole. We then provide a modal logic of group belief GL that follows a non-reductionist approach. We compare our group belief logic with the well-known logic o...

متن کامل

Strong Completeness Theorems for Weak Logics of Common Belief

We show that several logics of common belief and common knowledge are not only complete, but also strongly complete, hence compact. These logics involve a weakened monotonicity axiom, and no other restriction on individual belief. The semantics is of the ordinary fixed-point type.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Math. Log. Q.

دوره 42  شماره 

صفحات  -

تاریخ انتشار 1996