Recent changes to 30: Rlqe theory argument - failure.https://sourceforge.net/p/reduce-algebra/bugs/30/Recent changes to 30: Rlqe theory argument - failure.enFri, 16 Sep 2011 20:15:24 -0000Rlqe theory argument - failure.https://sourceforge.net/p/reduce-algebra/bugs/30/Good evening.
I'm currently experimenting with Redlog.
I'm trying out the use of the rlqe with two arguments, rlqe\( phi, axes \), where
\* phi is a first-order formula and
\* axes is a list of formulas.
As i understand it, the axes is a list of axioms you add to the base theory,
like the theory of real numbers \(ordered fields\).
You add these axioms in order to exploit the equivalence
T |= \( phi impl psi \) <==> T, phi |= psi
In particular, if the axioms give an inconsistent theory, the rlqe\(\) procedure
gives an error.
I try to perform quantifier elimination adding axioms that bound those variables
that are universally quantified in the main formula.
I have written the examples in the attached file.
However, Redlog's answers don't fit my assumptions.
It could be a bug, or just my misundestanding.
The difference between phi\_1 and phi\_11 is strange.
I run the Head trunk version of redlog, using the PSL Lisp. Diego Esteban Alonso BlasFri, 16 Sep 2011 20:15:24 -0000https://sourceforge.net04a00b9031a07fb69a0c00f11fbc274e19137b34