perm filename COLLAP[W88,JMC]1 blob
sn#854481 filedate 1988-03-12 generic text, type C, neo UTF8
COMMENT ā VALID 00002 PAGES
C REC PAGE DESCRIPTION
C00001 00001
C00002 00002 collap[w88,jmc] Collapsible circumscription, re Kolaitis talk
C00004 ENDMK
Cā;
collap[w88,jmc] Collapsible circumscription, re Kolaitis talk
Here are two directions in which the results (Lifschitz
and Kolaitis + Papadimitriou) might be extended.
1. In the non-logic programming case, it might be that
when a circumscription is collapsible to a first order formula,
there will be a number $k$ such that any model is elementarily
equivalent to a model with $k$ or fewer elements.
2. A circumscription may be collapsible relative to a given
predicate or function where this predicate or function is not itself
axiomatizable. For example, it may be collapsible relative to a
predicate picking out natural numbers or Lisp S-expressions from
some larger domain.