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Square Roots in ACL2: A Study in Sonata Form
, 1996
"... this paper, we explore this issue by focusing on the square root function. We begin by showing that this function does not exist in the ACL2 universe. In particular, we use the absence of the irrationals to prove that for all x, x ..."
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Cited by 3 (2 self)
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this paper, we explore this issue by focusing on the square root function. We begin by showing that this function does not exist in the ACL2 universe. In particular, we use the absence of the irrationals to prove that for all x, x
Inverse Functions in ACL2(r)
"... ACL2(r) supports the definition of real-valued functions. In this paper, we introduce a theory of inverse functions into description of inverse functions, to a still abstract but more tractable treatment of the inverse of continuous functions. A macro is introduced to simplify the introduction of co ..."
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ACL2(r) supports the definition of real-valued functions. In this paper, we introduce a theory of inverse functions into description of inverse functions, to a still abstract but more tractable treatment of the inverse of continuous functions. A macro is introduced to simplify the introduction of concrete inverse functions. We illustrate the approach by defining some inverse functions in ACL2, including the square root, natural logarithm, inverse sine, and inverse cosine functions.
