icians or philosophers use abstract symbols to derive formulas or form proofs. Indeed, these sketches are structural geometric proofs, consistent with Plato's supposition that...
A three-year study collected information bearing on the question of whether studying mathematics improves programming skills. An analysis of the data revealed significant differen...
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Formal, modular, and mechanized verification of realistic systems code is desirable but challenging. Verification of machine context management (a basis of multi-tasking) is one ...
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...