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» The logic of proofs, semantically
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CSL
2009
Springer
16 years 1 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
LACL
1998
Springer
15 years 11 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
TLCA
2007
Springer
16 years 25 days ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek
LPAR
2007
Springer
16 years 26 days ago
The Complexity of Temporal Logic with Until and Since over Ordinals
Abstract. We consider the temporal logic with since and until modalities. This temporal logic is expressively equivalent over the class of ordinals to first-order logic thanks to ...
Stéphane Demri, Alexander Rabinovich
FASE
2001
Springer
15 years 11 months ago
A Logic for the Java Modeling Language JML
Abstract. This paper describes a specialised logic for proving specifications in the Java Modeling Language (JML). JML is an interface specification language for Java. It allows ...
Bart Jacobs, Erik Poll