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.

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.

DOI : 10.1051/ita/2011010
Classification : 03B15, 68Q42, 68Q55, 68Q65, 92C42
Mots-clés : system biology, predictive modelling, CLS, type systems 
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     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},
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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. http://www.numdam.org/articles/10.1051/ita/2011010/

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