Techniques based on sums of squares appear promising as a general approach to the universal theory of reals with addition and multiplication, i.e. verifying Boolean combinations of...
d Abstract) Luboˇs Brim and Jiˇr´ı Barnat Faculty of Informatics, Masaryk University, Brno, Czech Republic With the increase in the complexity of computer systems, it becomes e...
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
Micro patterns are similar to design patterns, except that micro patterns stand at a lower, closer to the implementation, level of abstraction. Micro patterns are also unique in t...
Proofs of equalities may be built from assumptions using proof rules for reflexivity, symmetry, and transitivity. Reflexivity is an axiom proving x=x for any x; symmetry is a 1-p...