We present an extension of k-calculus by logical features and constraints, which yields a minimal core language for constraint functional logic programming. We define a denotational semantics based on continuation passing style. The operational semantics of our language is given as a set of reduction rules. We prove soundness of the operational semantics w.r.t, the continuation semantics. Finally, we show how pure functional logic programs can be translated to this core language in a sound way.
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