self-introduction : jon awbrey
Jon Awbrey <[email protected]> Thu, 30 Oct 2008 09:22:12 -0500
| Newsgroups | gmane.science.mathematics.frogs |
|---|---|
| Message-ID | <[email protected]> |
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i don't know if my interests fit in here,
but i did see a few resonant themes in
the archives, so what the heck ...
my main directory page, where i collect links
to papers (always in progress), projects, and
vita info:
http://www.mywikibiz.com/Directory:Jon_Awbrey
focal interests:
1. graph-theoretic aspects of formal systems,
e.g. formal languages that parse into nice
families of graph-theoretic data structures
like trees and cacti.
some hint of this line of work is here:
http://planetmath.org/encyclopedia/LogicalGraphFormalDevelopment.html
2. design of formal systems with attention to their
conceptual elegance and computationsl efficiency.
some design principles that appeal to me:
a. i view deductive inference as factoring into information-preserving
components (licensed by equational or reversible inference rules)
and information-reducing components (licensed by "projections"
like modus ponens, resolution, transitivity, and so on).
b. i am focusing on the equational inference rules --
i suppose it looks like the road less traveled ...
background interests:
3. integration of proof-theoretic (syntactic)
and model-theoretic (semantic) approaches
within a peircean semiotic framework of
triadic sign relations.
many regards,
jon awbrey
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