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general programs

Theory and Practice of Logic Programming (1)

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Decidability of the Clark's completion semantics for monadic programs and queries
LEVON HAYKAZYAN
Journal:

Theory and Practice of Logic Programming / Volume 15 / Issue 3 / May 2015

Published online by Cambridge University Press:

16 December 2014, pp. 402-412
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There are many different semantics for general logic programs (i.e. programs that use negation in the bodies of clauses). Most of these semantics are Turing complete (in a sense that can be made precise), implying that they are undecidable. To obtain decidability one needs to put additional restrictions on programs and queries. In logic programming it is natural to put restrictions on the underlying first-order language. In this note, we show the decidability of the Clark's completion semantics for monadic general programs and queries.