# Contextual array P systems

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##### Citations

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82 citations

^{1}, Ainhoa Berciano

^{2}, Francisco Peña-Cantillana

^{1}, Miguel A. Gutiérrez-Naranjo

^{1}•Institutions (2)

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52 citations

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45 citations

^{1}, Gheorghe Păun

^{2}, Gheorghe Păun

^{3}, Mario J. Pérez-Jiménez

^{3}+2 more•Institutions (5)

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42 citations

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40 citations

##### References

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2,182 citations

### "Contextual array P systems" refers background in this paper

...r0 = I1r1 + I2r2 + · · · + Imrm + λ (1) ri = Hiri + Oir0, 1 ≤ i ≤ m (2) R = O0r0 (3)...

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...Case(1): Suppose R = a, where a is a symbol representing a contextual rule in G....

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236 citations

### "Contextual array P systems" refers background in this paper

...r0 = I1r1 + I2r2 + · · · + Imrm + λ (1) ri = Hiri + Oir0, 1 ≤ i ≤ m (2) R = O0r0 (3)...

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...Case(3): Suppose R = r1r2, where r1 and r2 are regular expressions....

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...0 ≤ i ≤ m. Ij is the set of all rules with target inj , Oj is the set of all rules with target out in membrane j and Hj is the set of all rules with target here in membrane j. r0 = I1r1 + I2r2 + · · · + Imrm + λ (1) ri = Hiri + Oir0, 1 ≤ i ≤ m (2) R = O0r0 (3) Equation (2) implies ri = H i Oir0 (4) Now, from Eq....

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179 citations

### "Contextual array P systems" refers background in this paper

...(1) r0 = m∑ i=1 Iiri + λ = m∑ i=1 IiH i Oir0 + λ Therefore, r0 = ( m∑ i=1 IiH i Oi ) R = r0O0 = ( m∑ i=1 IiH i Oi ) O0 Hence the Theorem....

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...Case(4): Suppose R = r , where r is a regular expression....

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...Equation (2) implies ri = H i Oir0 (4)...

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...0 ≤ i ≤ m. Ij is the set of all rules with target inj , Oj is the set of all rules with target out in membrane j and Hj is the set of all rules with target here in membrane j. r0 = I1r1 + I2r2 + · · · + Imrm + λ (1) ri = Hiri + Oir0, 1 ≤ i ≤ m (2) R = O0r0 (3) Equation (2) implies ri = H i Oir0 (4) Now, from Eq....

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127 citations