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» Extended First-Order Logic
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105
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CSL
2009
Springer
15 years 10 months 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
126
Voted
ESWS
2009
Springer
15 years 10 months 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
115
Voted
LPNMR
2005
Springer
15 years 9 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 8 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 7 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