[FOM] multi-sorted logic
praatika@mappi.helsinki.fi
praatika at mappi.helsinki.fi
Sun Mar 12 08:11:30 EST 2006
Alan Baker wrote:
> I recently received the following request from a colleague in the
> Mathematics Department. Any suggestions would be welcome:
>
> "In my work recently I have been handicapped by not being familiar with
> the basic facts about mult-sorted and higher order logic. Do you know a
> source appropriate for a non-logician mathematician who wants something
> more on the "user's guide" end of the spectrum rather than the
> encyclopedic end?"
There is a very good introductory discussion of these matters in Herbert
B. Enderton: A Mathematical Introduction to Logic.
Next, see
Daniel Leivant, "Higher Order Logic", Handbook of Logic in Artificial
Intelligence and Logic Programming, Volume 2: Deduction Methodologies.
AND/OR
van Benthem, J. and Doets, K. (1984): 'Higher Order Logic' in Handbook of
Philosophical Logic, vol. I, eds. Gabbay, D. & Guenthner G., Dordrecht:
Reidel Publishing Company, 274-329. [there is a second revised edition,
but I don't have the reference...]
Best, Panu
Panu Raatikainen
Ph.D., Academy Research Fellow,
Docent in Theoretical Philosophy
Department of Philosophy
University of Helsinki
Finland
Visiting Fellow
Institute of Philosophy
School of Advanced Studies
University of London
E-mail: panu.raatikainen at helsinki.fi
http://www.helsinki.fi/collegium/eng/Raatikainen/raatikainen.htm
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