@misc{imm-21-aa-descr, title = {Affine Arithmetic}, author = {Fabian Immler}, year = 2021, month = dec, url = {https://www.isa-afp.org/browser_info/current/AFP/Affine_Arithmetic/document.pdf}, howpublished = {Online dicument}, comment = {Detailed description of AA with extra ops and algorithms. Intersection with a hyperplane.}, abstract = {We give a formalization of affine forms [1, 2] as abstract representations of zonotopes. We provide affine operations as well as overapproximations of some non-affine operations like multiplication and division. Expressions involving those operations can automatically be turned into (executable) functions approximating the original expression in affine arithmetic. Moreover we give a verified implementation of a functional algorithm to compute the intersection of a zonotope with a hyperplane, as described in the paper [3].} }