before the loop, the loop must end.if ( b <= e ) { counting_theorem( b, e ); int i = b; while ( i != e ) ++i; } void counting_theorem( const int b, const int e ) interface { extend_stability b ( i != e ) { claim i < e; ++i; } }if ( b <= e ) { counting_theorem( b, e ); int i = b; while ( i != e ) ++i; } void counting_theorem( const int b, const int e ) interface { extend_stability b ( i != e ) { claim i < e; ++i; } }if ( b <= e ) { counting_theorem( b, e ); int i = b; while ( i != e ) ++i; } void counting_theorem( const int b, const int e ) interface { extend_stability b

Space Entropy Measurement Design and Implementation of Quantifiable Stack/Queue Live Demonstration Proving that a Data Structure is Quantifiably Correct Visibility Point ▶ Identify an instruction in which

improvements. Continuously measure developer experience and productivity.67 Aurora Innovation Proving business value Continuously: Measure developer experience and productivity. Monitor changes to

gas…it expands to fill its container,’ said Nathan Myhrvold, then CTO of Microsoft in 1997. AI is proving no different. As models get better, usage increases – and as usage increases, so does demand for highly capable… In this context, it is important to remember what the stakes of the Space Race were: proving which political system could innovate faster and win the world’s trust in the process. Coming out

range-checked string, vector, span, etc. • A performance profile can eliminate safety checks (after proving them redundant) • Allowing us to make safer defaults • In-code annotations • To state the programmer’s

much more in the spirit of program proofs than Milner's more algebraic view. An important step in proving the correctness of representations with respect to given abstractions is to record a function from

the goal of providing a solid foundation for all of mathematics. In 1931 Gödel’s Incompleteness Theorem shattered the dream, showing that for any consistent axiomatic system there will always be theorems

Pointer to (virtual) Member Function 91 godbolt.org/z/jTqzxGeeoC++ Under the Hood Fundamental Theorem of Software Engineering: Any problem can be solved by adding a layer of indirection. 92C++ Under

conditions well • Could use a scoped lock or latch/barrier, but need application of DeMorgan’s theorem • Example: std::mutex lock[100]; // Needs to be an ‘inverted’ mutex … std::scoped_lock joint_lock(lock[1]

variables is approximately normally distributed. STABILIZER repeatedly randomizes layoutCentral Limit Theorem execution times are normally distributed The sum of a sufficient number of independent, identically