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» Reasoning with Axioms: Theory and Practice
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JAIR
2012
254views Hardware» more  JAIR 2012»
11 years 7 months ago
Completeness Guarantees for Incomplete Ontology Reasoners: Theory and Practice
To achieve scalability of query answering, the developers of Semantic Web applications are often forced to use incomplete OWL 2 reasoners, which fail to derive all answers for at ...
Bernardo Cuenca Grau, Boris Motik, Giorgos Stoilos...
CSL
2009
Springer
13 years 11 months ago
Expanding the Realm of Systematic Proof Theory
Abstract. This paper is part of a general project of developing a systematic and algebraic proof theory for nonclassical logics. Generalizing our previous work on intuitionistic-su...
Agata Ciabattoni, Lutz Straßburger, Kazushig...
FAC
1998
111views more  FAC 1998»
13 years 4 months ago
A Formal Axiomatization for Alphabet Reasoning with Parametrized Processes
In the process-algebraic veri cation of systems with three or more components put in parallel, alphabet axioms are considered to be very useful. These are rules that exploit the i...
Henri Korver, M. P. A. Sellink
LICS
2000
IEEE
13 years 9 months ago
Complete Axioms for Categorical Fixed-Point Operators
We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, embodying the equational properties of iteration theories. We p...
Alex K. Simpson, Gordon D. Plotkin
MKM
2007
Springer
13 years 11 months ago
Biform Theories in Chiron
An axiomatic theory represents mathematical knowledge declaratively as a set of axioms. An algorithmic theory represents mathematical knowledge procedurally as a set of algorithms....
William M. Farmer