Termination Analysis of Logic Programs Using Acceptability with General Term Orders Termination Analysis of Logic Programs Using Acceptability with General Term Orders

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in trans-formational approaches to logic program termination analysis, but that we apply these orderings directly to the logic program and not to the term-rewrite system obtained through some transformation. We deene some variants of acceptability, based on general term-orderings, and show how they are equivalent to LD-termination. We develop a demand driven, constraint-based approach to verify these acceptability-variants. The advantage of the approach over standard acceptability is that in some cases, where complex level mappings are needed, fairly simple term-orderings may be easily generated. The advantage over transformational approaches is that it avoids the transformation step all together. Termination analysis of logic programs using acceptability with general term orders Abstract. We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transform-ational approaches to logic program termination analysis, but that we apply these orderings directly to the logic program and not to the term-rewrite system obtained through some transformation. We deene some variants of acceptability, based on general term-orderings, and show how they are equivalent to LD-termination. We develop a demand driven, constraint-based approach to verify these acceptability-variants. The advantage of the approach over standard acceptability is that in some cases, where complex level mappings are needed, fairly simple term-orderings may be easily generated. The advantage over transformational approaches is that it avoids the transformation step all together.