Thesis announcement

Ville Nurmi <ville.v.nurmi-pxSi+dnQzZMxHbG02/[email protected]> Sat, 12 Sep 2009 11:48:20 +0300 (EEST)
Newsgroups gmane.science.mathematics.frogs
Message-ID <[email protected]>
Dear all,

I wish to announce my doctoral thesis "Dependence Logic: Investigations
into Higher-Order Semantics Defined on Teams". It is available as PDF
here:

	http://urn.fi/URN:ISBN:978-952-10-5679-6

The thesis is about a new logic called dependence logic. The relevance of
the thesis to the Frogs mailing list is in Chapter 6, "Axiomatising
Fragments of FOD", where I try to provide a complete proof system for a
fragment of dependence logic. I use calculus of structures for
classical propositional logic and enforce it with what I call a "flow
condition";

	The atomic flows of two distinct atom occurrences in the
	premise must not connect anywhere in the derivation.

The flow condition is needed because contraction is not a sound inference
rule in the fragment I investigated. The flow condition limits the use of
contraction.

I did not manage to complete the proof of completeness of this proof
system for the fragment. Also, I'm not actively in research any more
because I have changed jobs. Therefore, I'd be happy if this (or any
other) open question from the thesis is investigated and even proved or
falsified by anyone.

Best regards,

Ville Nurmi
University of Helsinki

PS I'm not on the Frogs mailing list. Possible questions about this
subject can be sent to me at ville.v.nurmi(at)helsinki.fi