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Title: lambda the ultimate | programming languages weblog
 
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Lambda The Ultimate     Home Feedback Faq Getting Started Discussions Site Operation Discussions Recent Posts (new Topic) Departments Courses Research Papers Design Docs Quotations Genealogical Diagrams Archives User Login Username: Password: Create New Accountrequest New Password Navigation Recent Posts Denotational Design With Type Class Morphisms Denotational Design With Type Class Morphisms. Conal Elliott. Type Classes Provide A Mechanism For Varied Implementations Of Standard Interfaces. Many Of These Interfaces Are Founded In Mathematical Tradition And So Have Regularity Not Only Of Types But Also Of Properties (laws) That Must Hold. Types And Properties Give Strong Guidance To The Library Implementor, While Leaving Freedom As Well. Some Of The Remaining Freedom Is In How The Implementation Works, And Some Is In What It Accomplishes. To Give Additional Guidance To The What, Without Impinging On The How, This Paper Proposes A Principle Of Type Class Morphisms (tcms), Which Further Refines The Compositional Style Of Denotational Semantics. The Tcm Idea Is Simply That The Instance’s Meaning Is The Meaning’s Instance. This Principle Determines The Meaning Of Each...

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