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» On the logic of argumentation theory
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CADE
2006
Springer
15 years 10 months ago
Interpolation in Local Theory Extensions
In this paper we study interpolation in local extensions of a base theory. We identify situations in which it is possible to obtain interpolants in a hierarchical manner, by using ...
Viorica Sofronie-Stokkermans
ICDT
1990
ACM
110views Database» more  ICDT 1990»
15 years 10 months ago
Beginnings of a Theory of General Database Completions
Ordinary logical implication is not enough for answering queries in a logic database, since especially negative information is only implicitly represented in the database state. M...
Stefan Brass
WOLLIC
2009
Springer
16 years 1 months ago
Sound and Complete Tree-Sequent Calculus for Inquisitive Logic
Abstract. We introduce a tree-sequent calculus for inquisitive logic (Groenendijk 2008) as a special form of labelled deductive system (Gabbay 1996). In particular, we establish th...
Katsuhiko Sano
ICFP
2003
ACM
16 years 6 months ago
A modal foundation for meta-variables
We report on work in progress regarding a foundation for the notion of meta-variable in logical frameworks and type theories. Our proposal is to treat meta-variables as modal varia...
Aleksandar Nanevski, Brigitte Pientka, Frank Pfenn...
LPNMR
2005
Springer
15 years 12 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