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CADE
2001
Springer
14 years 11 months ago
Canonical Propositional Gentzen-Type Systems
Canonical propositional Gentzen-type systems are systems which in addition to the standard axioms and structural rules have only pure logical rules with the subformula property, in...
Arnon Avron, Iddo Lev
MKM
2007
Springer
14 years 5 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
NMELP
1994
14 years 3 months ago
Static Semantics as Program Transformation and Well-founded Computation
In this paper, we propose a new constructive characterization of those semantics for disjunctive logic programs which are extensions of the well-founded semantics for normal progra...
Stefania Costantini, Gaetano Aurelio Lanzarone
CADE
2010
Springer
14 years 1 days ago
Beluga: A Framework for Programming and Reasoning with Deductive Systems (System Description)
Beluga is an environment for programming and reasoning about formal systems given by axioms and inference rules. It implements the logical framework LF for specifying and prototypi...
Brigitte Pientka, Joshua Dunfield
WWW
2011
ACM
13 years 5 months ago
A better uncle for OWL: nominal schemas for integrating rules and ontologies
We propose a description-logic style extension of OWL 2 with nominal schemas which can be used like“variable nominal classes”within axioms. This feature allows ontology langua...
Markus Krötzsch, Frederick Maier, Adila Krisn...