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» Extended First-Order Logic
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CSL
2009
Springer
16 years 26 days ago
Focalisation and Classical Realisability
We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
Guillaume Munch-Maccagnoni
ESWS
2009
Springer
16 years 26 days ago
Decidability of SHI with Transitive Closure of Roles
This paper investigates a Description Logic, namely SHI+, which extends SHI by adding transitive closure of roles. The resulting logic SHI+ allows transitive closure of roles to oc...
Chan Le Duc
LPNMR
2005
Springer
15 years 11 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
COOPIS
2002
IEEE
15 years 11 months ago
A Defeasible Ontology Language
We extend the description logic ¢¤£¦¥¦§©¨ with a preference order on the axioms. With this strict partial order certain axioms can be overruled, if defeated with more ...
Stijn Heymans, Dirk Vermeir
LACL
1998
Springer
15 years 10 months ago
Anaphora and Quantification in Categorial Grammar
Abstract. The paper proposes a type logical reformulation of Jacobson's ([9]) treatment of anaphoric dependencies in Categorial Grammar. To this end, the associative Lambek Ca...
Gerhard Jäger