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» Presentation of Set Functors: A Coalgebraic Perspective
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FOSSACS
2005
Springer
13 years 10 months ago
Duality for Logics of Transition Systems
We present a general framework for logics of transition systems based on Stone duality. Transition systems are modelled as coalgebras for a functor T on a category X. The propositi...
Marcello M. Bonsangue, Alexander Kurz
IANDC
2010
128views more  IANDC 2010»
13 years 3 months ago
A coinductive calculus of binary trees
We study the set TA of infinite binary trees with nodes labelled in a semiring A from a coalgebraic perspective. We present coinductive definition and proof principles based on ...
Alexandra Silva, Jan J. M. M. Rutten
CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 5 months ago
Rational streams coalgebraically
Abstract. We study rational streams (over a field) from a coalgebraic perspective. Exploiting the finality of the set of streams, we present an elementary and uniform proof of the ...
Jan J. M. M. Rutten
AGI
2011
12 years 9 months ago
Three Hypotheses about the Geometry of Mind
What set of concepts and formalizations might one use to make a practically useful, theoretically rigorous theory of generally intelligent systems? We present a novel perspective m...
Ben Goertzel, Matthew Iklé
MSCS
2006
87views more  MSCS 2006»
13 years 5 months ago
Differential categories
This paper revisits the authors' notion of a differential category from a different perspective. A differential category is an additive symmetric monoidal category with a como...
Richard Blute, J. Robin B. Cockett, R. A. G. Seely