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» On sets not belonging to algebras
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COOPIS
2003
IEEE
14 years 1 months ago
The Semantics of the Compound Term Composition Algebra
Abstract. In [11], we proposed an algebra with four algebraic operators, whose composition can be used to generate valid compound terms in a given faceted taxonomy in an efficient ...
Yannis Tzitzikas, Anastasia Analyti, Nicolas Spyra...
JSC
2002
84views more  JSC 2002»
13 years 7 months ago
A Constructive Algebraic Hierarchy in Coq
We describe a framework of algebraic structures in the proof assistant Coq. We have developed this framework as part of the FTA project in Nijmegen, in which a constructive proof ...
Herman Geuvers, Randy Pollack, Freek Wiedijk, Jan ...
ENTCS
2007
132views more  ENTCS 2007»
13 years 7 months ago
The Category Theoretic Understanding of Universal Algebra: Lawvere Theories and Monads
Lawvere theories and monads have been the two main category theoretic formulations of universal algebra, Lawvere theories arising in 1963 and the connection with monads being esta...
Martin Hyland, John Power
SIGMOD
2004
ACM
156views Database» more  SIGMOD 2004»
14 years 7 months ago
Tree Logical Classes for Efficient Evaluation of XQuery
XML is widely praised for its flexibility in allowing repeated and missing sub-elements. However, this flexibility makes it challenging to develop a bulk algebra, which typically ...
Stelios Paparizos, Yuqing Wu, Laks V. S. Lakshmana...
BIRTHDAY
2005
Springer
14 years 1 months ago
Finite Equational Bases in Process Algebra: Results and Open Questions
Abstract. Van Glabbeek (1990) presented the linear time/branching time spectrum of behavioral equivalences for finitely branching, concrete, sequential processes. He studied these...
Luca Aceto, Wan Fokkink, Anna Ingólfsd&oacu...