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0answers
14 views

Shortest trace for LTL

Given a finite trace semantics for LTL (one where u,i |= X phi does not hold if i = |u|) is there a better bound of the length of a minimal trace for a satisfiable formula ? By better, I mean better ...
1
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2answers
75 views

How to prove that the following language is not regular?

This is the following problem that I've been having difficulty on: For this problem, we will show that there are non-regular languages over the alphabet $\{0\}$. The language that will be used is the ...
1
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2answers
78 views

How can I prove the majority of three languages is also regular if the three languages are regular?

This is a question I've been stuck on recently: Let $A$, $B$, and $C$ be three languages over the same alphabet. Define $\mathrm{maj}(A,B,C)$ to be the collection of all strings $w$ that occur in at ...
4
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3answers
129 views

Deciding equivalence of regular languages

Given two regular expressions $R$ and $S$ on an alphabet $\Sigma$ it is possible to decide their equivalence as follows: build two finite automata $M_R$ and $M_S$ such that $L(R) = L(M_R)$ and $L(S) ...