The topic is on math logic Let M1 be a Kripke model with W = {wO, w1} and R = other words, V(wO, DA → A) = 0.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.4: Classification Of States In A Markov Chain
Problem 3P
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The topic is on math logic
Let M1 be a Kripke model with W = {wO, w1} and R = {{wo, w1}}. Moreover, suppose l(o, A) = 0 and I(wi, A) = 1. In this model, DA → A is not valid in wo. In
other words, V(wO, DA → A) = 0.
Exercise. Please prove this fact. (Note: this means DA → A is not true in a non-reflexive frame)
Transcribed Image Text:The topic is on math logic Let M1 be a Kripke model with W = {wO, w1} and R = {{wo, w1}}. Moreover, suppose l(o, A) = 0 and I(wi, A) = 1. In this model, DA → A is not valid in wo. In other words, V(wO, DA → A) = 0. Exercise. Please prove this fact. (Note: this means DA → A is not true in a non-reflexive frame)
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