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» Automating Theories in Intuitionistic Logic
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LPNMR
2005
Springer
14 years 1 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
DLOG
2007
13 years 10 months ago
A Proof Theory for DL-Lite
Abstract. In this work we propose an alternative approach to inference in DLLite, based on a reduction to reasoning in an extension of function-free Horn Logic (EHL). We develop a ...
Diego Calvanese, Evgeny Kharlamov, Werner Nutt
TLCA
2007
Springer
14 years 1 months 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
LICS
1999
IEEE
13 years 12 months ago
Towards a Theory of Bisimulation for Local Names
Pitts and Stark have proposed the -calculus as a language for investigating the interaction of unique name generation and higher-order functions. They developed a sound model base...
Alan Jeffrey, Julian Rathke
LICS
2006
IEEE
14 years 1 months ago
Monadic Chain Logic Over Iterations and Applications to Pushdown Systems
Logical properties of iterations of relational structures are studied and these decidability results are applied to the model checking of a powerful extension of pushdown systems....
Dietrich Kuske, Markus Lohrey