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Ternary Boolean algebra unification

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5 Author(s)
Wilkerson, R. ; Dept. of Comput. Sci., Missouri Univ., Rolla, MO, USA ; Murphy, D. ; Jenness, J. ; Pinet, B.
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In order to unify terms in a ternary Boolean algebra (TBA), the authors exploit the properties of complete commutativity and pseudoassociativity and develop an E-unification algorithm for the equational theory E consisting of the axioms which define these two properties. The algorithm is for the most part a modification of J. Siekmann's (1979) C-unification algorithm, which is itself an extension of J. Robinson's (1965) unification algorithm for first-order terms. However, in the case of TBA terms, it is necessary to account for the possible rearrangement of subterms due to the effect of the pseudoassociative law. The algorithm for finding such rearrangements is based on both the pseudoassociative law and complete commutativity

Published in:
Applied Computing, 1990., Proceedings of the 1990 Symposium on

Date of Conference: 5-6 Apr 1990

Page(s):
119 - 121
Meeting Date :
05 Apr 1990-06 Apr 1990
Print ISBN:
0-8186-2031-5
INSPEC Accession Number:
3776780
Conference Location :
Fayetteville, AR
Digital Object Identifier :
10.1109/SOAC.1990.82151
Product Type:
Conference Publications

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