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Computer Science > Symbolic Computation

arXiv:1110.4674v1 (cs)
[Submitted on 21 Oct 2011]

Title:Implementing an Automatic Differentiator in ACL2

Authors:Peter Reid (University of Oklahoma), Ruben Gamboa (University of Wyoming)
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Abstract:The foundational theory of differentiation was developed as part of the original release of ACL2(r). In work reported at the last ACL2 Workshop, we presented theorems justifying the usual differentiation rules, including the chain rule and the derivative of inverse functions. However, the process of applying these theorems to formalize the derivative of a particular function is completely manual. More recently, we developed a macro and supporting functions that can automate this process. This macro uses the ACL2 table facility to keep track of functions and their derivatives, and it also interacts with the macro that introduces inverse functions in ACL2(r), so that their derivatives can also be automated. In this paper, we present the implementation of this macro and related functions.
Comments: In Proceedings ACL2 2011, arXiv:1110.4473
Subjects: Symbolic Computation (cs.SC); Logic in Computer Science (cs.LO)
Cite as: arXiv:1110.4674 [cs.SC]
  (or arXiv:1110.4674v1 [cs.SC] for this version)
  https://doi.org/10.48550/arXiv.1110.4674
Journal reference: EPTCS 70, 2011, pp. 61-69
Related DOI: https://doi.org/10.4204/EPTCS.70.5

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Fri, 21 Oct 2011 00:45:44 UTC (37 KB)
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