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IANDC
2010
102views more  IANDC 2010»
13 years 3 months ago
Presenting functors on many-sorted varieties and applications
This paper studies several applications of the notion of a presentation of a functor by operations and equations. We show that the technically straightforward generalisation of th...
Alexander Kurz, Daniela Petrisan
IDEAS
1997
IEEE
107views Database» more  IDEAS 1997»
13 years 9 months ago
Query Processing in the ROL system
The ROL system is a novel deductive object-oriented database system that has been implemented at the University of Regina. It provides a uniform rule-based declarative language fo...
Mengchi Liu, Weidong Yu
LOGCOM
2010
87views more  LOGCOM 2010»
13 years 3 months ago
Exemplaric Expressivity of Modal Logics
Abstract This paper investigates expressivity of modal logics for transition systems, multitransition systems, Markov chains, and Markov processes, as coalgebras of the powerset, ...
Bart Jacobs, Ana Sokolova
JSYML
2007
79views more  JSYML 2007»
13 years 5 months ago
Models of non-well-founded sets via an indexed final coalgebra theorem
The paper uses the formalism of indexed categories to recover the proof of a standard final coalgebra theorem, thus showing existence of final coalgebras for a special class of ...
Federico De Marchi, Benno van den Berg
CADE
2006
Springer
14 years 5 months ago
Automating Proofs in Category Theory
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...
Dexter Kozen, Christoph Kreitz, Eva Richter