Q1. LTL Consider the following transition system over the set of atomic propositions {a,b} S4 {b} S2 S3 {a,b} S1 {a} {a} Indicate for each of the following LTL formulae the set of states for which these formulae are fulfilled: (a) X a

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Q1. LTL
Consider the following transition system over the set of atomic propositions {a,b}
S4
{b}
S2
S3
S1
{a}
{a}
{a,b}
Indicate for each of the following LTL formulae the set of states for which these formulae are
fulfilled:
(a) X a
(b) хXXа
(c) G b
(d) G F a
(e) G(b U a)
Your answer for each section should explain why the LTL formula holds/ does not hold in each of
state S1, S2, S3, and S4.
Transcribed Image Text:Q1. LTL Consider the following transition system over the set of atomic propositions {a,b} S4 {b} S2 S3 S1 {a} {a} {a,b} Indicate for each of the following LTL formulae the set of states for which these formulae are fulfilled: (a) X a (b) хXXа (c) G b (d) G F a (e) G(b U a) Your answer for each section should explain why the LTL formula holds/ does not hold in each of state S1, S2, S3, and S4.
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