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Proof Pearl: a Formal Proof of Higman's Lemma in ACL2.

Authors :
Martín-Mateos, Francisco
Ruiz-Reina, José
Alonso, José
Hidalgo, María
Source :
Journal of Automated Reasoning; Oct2011, Vol. 47 Issue 3, p229-250, 22p
Publication Year :
2011

Abstract

Higman's lemma is an important result in infinitary combinatorics, which has been formalized in several theorem provers. In this paper we present a formalization and proof of Higman's Lemma in the ACL2 theorem prover. Our formalization is based on a proof by Murthy and Russell, where the key termination argument is justified by the multiset relation induced by a well-founded relation. To our knowledge, this is the first mechanization of this proof. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01687433
Volume :
47
Issue :
3
Database :
Complementary Index
Journal :
Journal of Automated Reasoning
Publication Type :
Academic Journal
Accession number :
65548211
Full Text :
https://doi.org/10.1007/s10817-010-9178-x