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» An Algebra for Kripke Polynomial Coalgebras
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LICS
2009
IEEE
13 years 11 months ago
An Algebra for Kripke Polynomial Coalgebras
Several dynamical systems, such as deterministic automata and labelled transition systems, can be described as coalgebras of so-called Kripke polynomial functors, built up from co...
Marcello M. Bonsangue, Jan J. M. M. Rutten, Alexan...
LOGCOM
2010
82views more  LOGCOM 2010»
13 years 3 months ago
Deduction Systems for Coalgebras Over Measurable Spaces
A theory of infinitary deduction systems is developed for the modal logic of coalgebras for measurable polynomial functors on the category of measurable spaces. These functors ha...
Robert Goldblatt
FOSSACS
2008
Springer
13 years 6 months ago
Beyond Rank 1: Algebraic Semantics and Finite Models for Coalgebraic Logics
Coalgebras provide a uniform framework for the semantics of a large class of (mostly non-normal) modal logics, including e.g. monotone modal logic, probabilistic and graded modal l...
Dirk Pattinson, Lutz Schröder
CALCO
2011
Springer
214views Mathematics» more  CALCO 2011»
12 years 4 months ago
Indexed Induction and Coinduction, Fibrationally
This paper extends the fibrational approach to induction and coinduction pioneered by Hermida and Jacobs, and developed by the current authors, in two key directions. First, we pr...
Clément Fumex, Neil Ghani, Patricia Johann
CALCO
2007
Springer
86views Mathematics» more  CALCO 2007»
13 years 11 months ago
Bootstrapping Types and Cotypes in HasCASL
We discuss the treatment of initial datatypes and final process types in the wide-spectrum language HasCASL. In particular, we present specifications that illustrate how datatype...
Lutz Schröder