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» On Kleene Algebras and Closed Semirings
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STACS
2007
Springer
13 years 11 months ago
On Fixed Point Equations over Commutative Semirings
Fixed point equations x = f(x) over ω-continuous semirings can be seen as the mathematical foundation of interprocedural program analysis. The sequence 0, f(0), f2 (0), . . . conv...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
CSL
2010
Springer
13 years 6 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
DLT
2009
13 years 3 months ago
Closures in Formal Languages and Kuratowski's Theorem
A famous theorem of Kuratowski states that, in a topological space, at most 14 distinct sets can be produced by repeatedly applying the operations of closure and complement to a gi...
Janusz A. Brzozowski, Elyot Grant, Jeffrey Shallit
CAI
2011
Springer
12 years 9 months ago
Theme and Variations on the Concatenation Product
Abstract. The concatenation product is one of the most important operations on regular languages. Its study requires sophisticated tools from algebra, finite model theory and pro...
Jean-Éric Pin