dLι: Definite Descriptions in Differential Dynamic Logic

We introduce Open image in new window , which extends differential dynamic logic ( Open image in new window ) for hybrid systems with definite descriptions and tuples, thus enabling its theoretical foundations to catch up with its implementation in the theorem prover Open image in new window . Definite descriptions enable partial, nondifferentiable, and discontinuous terms, which have many examples in applications, such as divisions, nth roots, and absolute values. Tuples enable systems of multiple differential equations, arising in almost every application. Together, definite description and tuples combine to support long-desired features such as vector arithmetic.