Title
Homomorphism preserving algebraic specifications require hidden sorts
Abstract
Although every computable data type has an initial algebra specification with hidden functions, it may happen that some of the homomorphic images of the data type are not models of the specification. The latter are reducts of algebras that would be models of the specification if all its functions were visible, whereas the homomorphic images of the data type are independent of the specification and need not be compatible with the hidden functions used in it. A hidden function specification that does not exclude any of the homomorphic images of its initial model from its model class will be called homomorphism preserving. It turns out that, unlike unrestricted initial homomorphism preserving. It turns out that, unlike unrestricted initial algebra specification, homomorphism preserving initial algebra specification of computable data types requires both hidden sorts and hidden functions. (C) 1995 Academic Press, Inc.
Year
DOI
Venue
1995
10.1006/inco.1995.1079
Information and Computation/information and Control
Keywords
Field
DocType
algebraic specification,data type
Initial algebra,Homomorphic encryption,Discrete mathematics,Combinatorics,Algebraic number,Algebra,Data type,Homomorphism,Mathematics
Journal
Volume
Issue
ISSN
119
1
0890-5401
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Jan A. Bergstra11445140.42
J. Heering244136.70