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The results of the CADE-15 ATP System Competition (CASC-15) are presented.
We present a completion procedure (called MKB) that works for multiple reduction orderings. Given equations and a set of reduction orderings, the procedure simulates a computation performed by the parallel processes each of which executes the standard completion procedure (KB) with one of the...
One method for producing verified implementations of programming languages is to formally derive them from abstract machines. Tail-recursive abstract machines provide efficient support for iterative processes via the ordinary procedure call mechanism. This document argues that the use of...
We present here a further development of the well-known approach to automatic theorem proving in elementary geometry via algorithmic commutative algebra and algebraic geometry. Rather than confirming/refuting geometric statements (automatic proving) or finding geometric formulae holding among...
The filtering method considered in this paper is based on approximation of a spatial object in d-dimensional space by the minimal convex polyhedron that encloses the object and whose facets are normal to preselected axes. These axes are not necessarily the standard coordinate axes; furthermore,...
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