A New Approach to Epistemic Logic

Corsi, Giovanna ; Tassi, Gabriele (2014) A New Approach to Epistemic Logic. DOI 10.6092/unibo/amsacta/3746. In: Logic, Reasoning and Rationality. A cura di: Meheus, Joke ; Weber, Herik ; Wouters, Dietlinde. Springer, .
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Abstract

A new language for epistemic logic is introduced in which the epis- temic operators are of the form j x : x1 : : : xnj with the intended read- ing \x knows of x1 : : : xn that ...". Analogously we can express \t knows of t1 : : : tn that ... ", where t; t1 : : : tn are terms. An advantage of this approach is that we can quantify on the agents, \every y knows of x1 : : : xn that A" or \some expert knows of t1 : : : tn that A" can easily be expressed. The semantics we present for this language is a generalization of the transition semantics, called epistemic transition semantics in which the possible worlds are states of affairs compatible with the epistemic state of some agent. A calculus is presented and shown to be complete with respect to epistemic transition semantics.

Abstract
Document type
Book Section
Creators
CreatorsAffiliationORCID
Corsi, Giovanna
Tassi, Gabriele
Keywords
epistemic modalities quantified epistemic logic
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DOI
Deposit date
12 Sep 2013 10:50
Last modified
01 Oct 2013 10:14
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