Composing Programs in a Rewriting Logic for Declarative Programming
<|reference_start|>Composing Programs in a Rewriting Logic for Declarative Programming: Constructor-Based Conditional Rewriting Logic is a general framework for integrating first-order functional and logic programming which gives an algebraic semantics for non-deterministic functional-logic programs. In the context of this formalism, we introduce a simple notion of program module as an open program which can be extended together with several mechanisms to combine them. These mechanisms are based on a reduced set of operations. However, the high expressiveness of these operations enable us to model typical constructs for program modularization like hiding, export/import, genericity/instantiation, and inheritance in a simple way. We also deal with the semantic aspects of the proposal by introducing an immediate consequence operator, and studying several alternative semantics for a program module, based on this operator, in the line of logic programming: the operator itself, its least fixpoint (the least model of the module), the set of its pre-fixpoints (term models of the module), and some other variations in order to find a compositional and fully abstract semantics wrt the set of operations and a natural notion of observability.<|reference_end|>
@article{molina2002composing,
    title={Composing Programs in a Rewriting Logic for Declarative Programming},
    author={Juan M. Molina and Ernesto Pimentel},
    journal={arXiv preprint arXiv:cs/0203006},
    year={2002},
    number={LCC852},
    archivePrefix={arXiv},
    eprint={cs/0203006},
    primaryClass={cs.LO cs.PL}
}