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Constraint automata and the complexity of recursive subtype entailment
Author(s) -
Fritz Henglein,
Jakob Rehof
Publication year - 1998
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-64781-3
DOI - 10.1007/bfb0055089
Subject(s) - logical consequence , subtyping , constraint (computer aided design) , mathematics , discrete mathematics , set (abstract data type) , tree (set theory) , combinatorics , theoretical computer science , computer science , algorithm , artificial intelligence , programming language , geometry
. We study entailment of structural and nonstructural recursivesubtyping constraints. Constraints are formal inequalities betweentype expressions, interpreted over an ordered set of possibly infinite labeledtrees. The nonstructural ordering on trees is the one introducedby Amadio and Cardelli for subtyping with recursive types. The structuralordering compares only trees with common shape. A constraintset entails an inequality if every assignment of meanings (trees) to typeexpressions...

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