Proof of Dickson’s Lemma Using the ACL2 Theorem Prover via an Explicit Ordinal Mapping
نویسنده
چکیده
In this paper we present the use of the ACL2 theorem prover to formalize and mechanically check a new proof of Dickson’s lemma about monomial sequences. Dickson’s lemma can be used to establish the termination of Büchberger’s algorithm to find the Gröbner basis of a polynomial ideal. This effort is related to a larger project which aims to develop a mechanically verified computer algebra system.
منابع مشابه
A Formal Proof of Dickson's Lemma in ACL2
Dickson’s Lemma is the main result needed to prove the termination of Buchberger’s algorithm for computing Gröbner basis of polynomial ideals. In this case study, we present a formal proof of Dickson’s Lemma using the ACL2 system. Due to the limited expressiveness of the ACL2 logic, the classical non-constructive proof of this result cannot be done in ACL2. Instead, we formalize a proof where t...
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تاریخ انتشار 2003