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Details of Grant 

EPSRC Reference: EP/C536290/1
Title: Quantification in Non-classical Logic
Principal Investigator: Gabbay, Professor D
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Department: Computer Science
Organisation: Kings College London
Scheme: Standard Research (Pre-FEC)
Starts: 01 February 2005 Ends: 31 July 2006 Value (£): 42,044
EPSRC Research Topic Classifications:
Artificial Intelligence Fundamentals of Computing
EPSRC Industrial Sector Classifications:
Information Technologies
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Summary on Grant Application Form
Success of non-classical logic in application so far was mainly due to the propositional versions. It is now urgent to develop theories of quantification in a systematic and comprehensive way. We propose to investigate(as part of a long term plan) the quantificational landscape for modal and superintuitionistic logics, axioms and variety of semantical interpretations. Workpackages include classification of frames and morphisms in different semantics, soundness and completeness proofs, development of nonical model and filtration technique.
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