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The calculus of looping sequences is a formalism for describing the evolution of biological systems by means of term rewriting rules. In this paper we enrich this calculus with a type discipline which preserves some biological properties depending on the minimum and the maximum number of elements of some type requested by the present elements. The type system enforces these properties and typed reductions guarantee that evolution preserves them. As an example, we model the hemoglobin structure and the equilibrium between cell death and division: typed reductions prevent undesirable behaviors.
@article{ITA_2011__45_1_35_0, author = {Bioglio, Livio}, title = {Enumerated type semantics for the calculus of looping sequences}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {35--58}, publisher = {EDP-Sciences}, volume = {45}, number = {1}, year = {2011}, doi = {10.1051/ita/2011010}, mrnumber = {2776853}, zbl = {1214.92028}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2011010/} }
TY - JOUR AU - Bioglio, Livio TI - Enumerated type semantics for the calculus of looping sequences JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2011 SP - 35 EP - 58 VL - 45 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita/2011010/ DO - 10.1051/ita/2011010 LA - en ID - ITA_2011__45_1_35_0 ER -
%0 Journal Article %A Bioglio, Livio %T Enumerated type semantics for the calculus of looping sequences %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2011 %P 35-58 %V 45 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita/2011010/ %R 10.1051/ita/2011010 %G en %F ITA_2011__45_1_35_0
Bioglio, Livio. Enumerated type semantics for the calculus of looping sequences. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) no. 1, pp. 35-58. doi: 10.1051/ita/2011010
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