Probabilistic Variants of Rényi-ulam Game and Many-valued Logic

نویسندگان

  • CLAUDIO MARINI
  • FRANCO MONTAGNA
چکیده

In this paper we discuss some generalizations of Rényi-Ulam game with lies: some of them are simply probabilistic variants of it, some others differ from it by the presence of more than one number to guess. In the last part of the paper, we also discuss the relationship between such variants and many-valued logic. This paper is just a survey of known results, but in its last part it also contains some plans for future research.

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

Probabilistic variants of Ulam’s game and many-valued logic

In this paper we discuss some generalizations of Ulam’s game with lies: some of them are simply probabilistic variants of it, some others differ from it by the presence of more than one number to guess. In the last part of the paper, we also discuss the relationship between such variants and many-valued logic. This paper is just a survey of known results, but in its last part it also contains s...

متن کامل

Product logic and probabilistic Ulam games

Connections between games and many-valued logic have been shown first by Mundici [M] for the case of the Rényi-Ulam game and à Lukasiewicz logic. Given a finite set Ω of cardinality N (called the search space) and a natural number n, the Rényi-Ulam game G(N,n) is the following: a player, called Responder, chooses an element of Ω called the secret. The other player, called Questioner, has to gue...

متن کامل

A Lukasiewicz Logic Based Prolog

Prolog is a programming language based on a restricted subset of classical rst order predicate logic. In order to overcome some problems of classical logic to handle imperfect human knowledge, we provide a formal framework for a Lukasiewicz logic based Prolog system. The use of Lukasiewicz logic with its connection to Ulam games enables us to deal with partial inconsistencies by interpreting th...

متن کامل

Propositional dynamic logic for searching games with errors

We investigate some finitely-valued generalizations of propositional dynamic logic with tests. We start by introducing the n+ 1valued Kripke models and a corresponding language based on a modal extension of Łukasiewicz many-valued logic. We illustrate the definitions by providing a framework for an analysis of the Rényi Ulam searching game with errors. Our main result is the axiomatization of t...

متن کامل

Mazur-Ulam theorem in probabilistic normed groups

In this paper, we give a probabilistic counterpart of  Mazur-Ulam theorem  in probabilistic normed groups. We show, under some conditions, that every surjective isometry between two probabilistic normed groups is a homomorphism.

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005