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» Linear Algebra in the vector space of intervals
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CORR
2010
Springer
75views Education» more  CORR 2010»
13 years 4 months ago
Linear Algebra in the vector space of intervals
In a previous paper, we have given an algebraic model to the set of intervals. Here, we apply this model in a linear frame. For example, we define a notion of diagonalization of s...
Nicolas Goze
CONCUR
2009
Springer
13 years 11 months ago
Weighted Bisimulation in Linear Algebraic Form
Abstract. We study bisimulation and minimization for weighted automata, relying on a geometrical representation of the model, linear weighted automata (lwa). In a lwa, the state-sp...
Michele Boreale
CALCO
2011
Springer
205views Mathematics» more  CALCO 2011»
12 years 4 months ago
Bases as Coalgebras
Abstract. The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of thi...
Bart Jacobs
AMAST
1991
Springer
13 years 8 months ago
Event Spaces and their Linear Logic
Boolean logic treats disjunction and conjunction symmetrically and algebraically. The corresponding operations for computation are respectively nondeterminism (choice) and concurr...
Vaughan R. Pratt
TLCA
2009
Springer
13 years 11 months ago
Algebraic Totality, towards Completeness
Finiteness spaces constitute a categorical model of Linear Logic whose objects can be seen as linearly topologised spaces, (a class of topological vector spaces introduced by Lefsc...
Christine Tasson