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» Monads of Regular Theories
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81
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CP
2006
Springer
15 years 2 months ago
The Theory of Grammar Constraints
Abstract. By introducing the Regular Membership Constraint, Gilles Pesant pioneered the idea of basing constraints on formal languages. The paper presented here is highly motivated...
Meinolf Sellmann
81
Voted
CALCO
2009
Springer
150views Mathematics» more  CALCO 2009»
15 years 5 months ago
Approximating Labelled Markov Processes Again!
Abstract. Labelled Markov processes are continuous-state fully probabilistic labelled transition systems. They can be seen as co-algebras of a suitable monad on the category of mea...
Philippe Chaput, Vincent Danos, Prakash Panangaden...
79
Voted
LICS
2000
IEEE
15 years 3 months ago
Complete Axioms for Categorical Fixed-Point Operators
We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, embodying the equational properties of iteration theories. We p...
Alex K. Simpson, Gordon D. Plotkin
80
Voted
CORR
2007
Springer
98views Education» more  CORR 2007»
14 years 11 months ago
Transforming structures by set interpretations
We consider a new kind of interpretation over relational structures: finite sets interpretations. Those interpretations are defined by weak monadic second-order (WMSO) formulas w...
Thomas Colcombet, Christof Löding
CHARME
2005
Springer
122views Hardware» more  CHARME 2005»
15 years 4 months ago
Regular Vacuity
The application of model-checking tools to complex systems involves a nontrivial step of modelling the system by a finite-state model and a translation of the desired properties i...
Doron Bustan, Alon Flaisher, Orna Grumberg, Orna K...