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» The Craig Interpolation Theorem in abstract model theory
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SEMWEB
2004
Springer
14 years 25 days ago
A Model Theoretic Semantics for Ontology Versioning
Abstract. We show that the Semantic Web needs a formal semantics for the various kinds of links between ontologies and other documents. We provide a model theoretic semantics that ...
Jeff Heflin, Zhengxiang Pan
ITP
2010
114views Mathematics» more  ITP 2010»
13 years 11 months ago
A New Foundation for Nominal Isabelle
Pitts et al introduced a beautiful theory about names and binding based on the notions of permutation and support. The engineering challenge is to smoothly adapt this theory to a t...
Brian Huffman, Christian Urban
LOGCOM
2010
158views more  LOGCOM 2010»
13 years 5 months ago
Applying Universal Algebra to Lambda Calculus
The aim of this paper is double. From one side we survey the knowledge we have acquired these last ten years about the lattice of all λ-theories (= equational extensions of untype...
Giulio Manzonetto, Antonino Salibra
GG
2010
Springer
13 years 8 months ago
Multi-Amalgamation in Adhesive Categories
Abstract. Amalgamation is a well-known concept for graph transformations in order to model synchronized parallelism of rules with shared subrules and corresponding transformations....
Ulrike Golas, Hartmut Ehrig, Annegret Habel
CSL
2005
Springer
14 years 1 months ago
Towards a Typed Geometry of Interaction
Abstract. Girard’s Geometry of Interaction (GoI) develops a mathematical framework for modelling the dynamics of cut-elimination. We introduce a typed version of GoI, called Mult...
Esfandiar Haghverdi, Philip J. Scott