MHB Are the regular expressions the same?

AI Thread Summary
The discussion centers on whether the intersection of two regular expressions, represented as {a,b,c}* · aba · {a,b,c}* ∩ {a,b,c}* · cbc · {a,b,c}*, is equivalent to a single regular expression combining both patterns. It is clarified that the intersection operation (∩) does not yield a regular expression, as regular expressions are closed under union and concatenation, but not intersection. The expressions in question are not regular due to the presence of the intersection operator. The conclusion emphasizes that while the two forms may represent similar patterns, they are not equivalent as regular expressions. Understanding these properties is crucial for proper manipulation of regular languages.
evinda
Gold Member
MHB
Messages
3,741
Reaction score
0
Hi!I have also an other question.

Is the regular expression $\{\{a,b,c\}^{*} \cdot aba \cdot \{a,b,c\}^{*}\}\cap\{\{a,b,c\}^{*} \cdot cbc \cdot \{a,b,c\}^{*}\}$ equal to this one: $\{\{a,b,c\}^{*} \cdot aba \cdot \{a,b,c\}^{*} \cdot cbc \cdot \{a,b,c\}^{*}$ or is there a difference?
 
Technology news on Phys.org
$\{\{a,b,c\}^{*} \cdot aba \cdot \{a,b,c\}^{*}\}\cap\{\{a,b,c\}^{*} \cdot cbc \cdot \{a,b,c\}^{*}\}$ is not a regular expression because it contains $\cap$.
 
Evgeny.Makarov said:
$\{\{a,b,c\}^{*} \cdot aba \cdot \{a,b,c\}^{*}\}\cap\{\{a,b,c\}^{*} \cdot cbc \cdot \{a,b,c\}^{*}\}$ is not a regular expression because it contains $\cap$.

I understand...Thank you very much! :o
 
Thread 'Star maps using Blender'

Thread 'Star maps using Blender'

Blender just recently dropped a new version, 4.5(with 5.0 on the horizon), and within it was a new feature for which I immediately thought of a use for. The new feature was a .csv importer for Geometry nodes. Geometry nodes are a method of modelling that uses a node tree to create 3D models which offers more flexibility than straight modeling does. The .csv importer node allows you to bring in a .csv file and use the data in it to control aspects of your model. So for example, if you...
View full post »

Thread 'Who is responsible for the software when AI takes over programming?'

I tried a web search "the loss of programming ", and found an article saying that all aspects of writing, developing, and testing software programs will one day all be handled through artificial intelligence. One must wonder then, who is responsible. WHO is responsible for any problems, bugs, deficiencies, or whatever malfunctions which the programs make their users endure? Things may work wrong however the "wrong" happens. AI needs to fix the problems for the users. Any way to...
View full post »

Similar threads

MHB Representation of signed integers of base B
Replies
17
Views
2K
I Clarifications needed for an exercise in Hungerford's abstract algebra
Replies
23
Views
563
Neural Networks Question about the Hebbs and Delta Rule
Replies
1
Views
3K
Prove ##(a+b)\cdot c=a\cdot c+b\cdot c## using Peano postulates
Replies
3
Views
1K
What is [50-99] in regular expression?
Replies
4
Views
2K
MHB -c5.LCM and Prime Factorization of A,B,C
Replies
3
Views
1K
Understanding the Poynting Theorem
Replies
5
Views
1K
(Introductory SR) Light sent from a spaceship received by Earth
Replies
6
Views
2K
Different forms of fluid energy conservation equations
Replies
32
Views
3K
MHB Proving Asymptotic Bound: n*4^n=O(n!)
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top