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cTI A constraint-based termination inference tool for ISO-Prolog.pdf

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cTI A constraint-based termination inference tool for ISO-Prolog

a r X i v : c s / 0 3 0 9 0 2 8 v 1 [ c s .P L ] 1 6 S e p 2 0 0 3 Under consideration for publication in Theory and Practice of Logic Programming 1 cTI: A Constraint-Based Termination Inference Tool for ISO-Prolog FRED MESNARD Iremia, Universite? de La Re?union, Saint Denis, France (e-mail: fred@univ-reunion.fr) ROBERTO BAGNARA Department of Mathematics, University of Parma, Italy (e-mail: bagnara@cs.unipr.it) Abstract We present cTI, the first system for universal left-termination inference of logic programs. Termination inference generalizes termination analysis and checking. Traditionally, a ter- mination analyzer tries to prove that a given class of queries terminates. This class must be provided to the system, for instance by means of user annotations. Moreover, the analysis must be redone every time the class of queries of interest is updated. Termination infer- ence, in contrast, requires neither user annotations nor recomputation. In this approach, terminating classes for all predicates are inferred at once. We describe the architecture of cTI and report an extensive experimental evaluation of the system covering many classical examples from the logic programming termination literature and several Prolog programs of respectable size and complexity. KEYWORDS: Termination Inference; Termination Analysis; Logic Programming; Ab- stract Interpretation. 1 Introduction Termination is a crucial aspect of program verification. It is of particular impor- tance for logic programs (Lloyd 1987; Apt 1997), since there are no a priori syn- tactic restrictions to queries and, as a matter of fact, most predicates programmers tend to write do not terminate for their most general queries. In the last fifteen years, termination has been the subject of several research works in the field of logic programming (see, for instance, (Francez et al. 1985; Apt and Pedreschi 1990; Ruggieri 1999)). In contrast to what happens for other programming paradigms, there are two notion