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» Abstract Data Types in Computer Algebra
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ICFP
2006
ACM
14 years 7 months ago
Simple unification-based type inference for GADTs
Generalized algebraic data types (GADTs), sometimes known as "guarded recursive data types" or "first-class phantom types", are a simple but powerful generaliz...
Simon L. Peyton Jones, Dimitrios Vytiniotis, Steph...
ISSAC
1998
Springer
117views Mathematics» more  ISSAC 1998»
13 years 11 months ago
Lightweight Formal Methods for Computer Algebra Systems
In this paper we demonstrate the use of formal methods tools to provide a semantics for the type hierarchy of the AXIOM computer algebra system, and a methodology for Aldor progra...
Martin Dunstan, Tom Kelsey, Steve Linton, Ursula M...
SIGSOFT
2004
ACM
14 years 1 months ago
A type system for object models
A type system for object models is described that supports subtypes and allows overloading of relation names. No special features need be added to the modelling language; in parti...
Jonathan Edwards, Daniel Jackson, Emina Torlak
RSKT
2007
Springer
14 years 1 months ago
ROSA: An Algebra for Rough Spatial Objects in Databases
Abstract. A fundamental data modeling problem in geographical information systems and spatial database systems refers to an appropriate treatment of the vagueness or indeterminacy ...
Markus Schneider, Alejandro Pauly
TLCA
2009
Springer
14 years 2 months ago
Initial Algebra Semantics for Cyclic Sharing Structures
Terms are a concise representation of tree structures. Since they can be naturally defined by an inductive type, they offer data structures in functional programming and mechanis...
Makoto Hamana