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» Presentation of Set Functors: A Coalgebraic Perspective
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FOSSACS
2005
Springer
13 years 12 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 5 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 6 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 10 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 6 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