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» Semi-Contraction: Axioms and Construction
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APAL
2002
79views more  APAL 2002»
13 years 6 months ago
Extending the system T0 of explicit mathematics: the limit and Mahlo axioms
In this paper we discuss extensions of Feferman's theory T0 for explicit mathematics by the so-called limit and Mahlo axioms and present a novel approach to constructing natu...
Gerhard Jäger, Thomas Studer
KR
2004
Springer
14 years 7 days ago
Distance Semantics for Relevance-Sensitive Belief Revision
Possible-world semantics are provided for Parikh’s relevance-sensitive model for belief revision. Having Grove’s system-of-spheres construction as a base, we consider addition...
Pavlos Peppas, Samir Chopra, Norman Y. Foo
CADE
2008
Springer
14 years 7 months ago
Automata-Based Axiom Pinpointing
Axiom pinpointing has been introduced in description logics (DL) to help the user understand the reasons why consequences hold by computing minimal subsets of the knowledge base th...
Franz Baader, Rafael Peñaloza
FSS
2008
82views more  FSS 2008»
13 years 7 months ago
Lattice-valued convergence spaces and regularity
: We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity ...
Gunther Jäger
RTA
2005
Springer
14 years 10 days ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner