Reasoning about Prolog programs: From modes through types to assertions

@article{Apt2005ReasoningAP,
  title={Reasoning about Prolog programs: From modes through types to assertions},
  author={Krzysztof R. Apt and Elena Marchiori},
  journal={Formal Aspects of Computing},
  year={2005},
  volume={6},
  pages={743-765}
}
We provide here a systematic comparative study of the relative strength and expressive power of a number of methods for program analysis of Prolog. Among others we show that these methods can be arranged in the following hierarchy: mode analysis ⇒ type analysis ⇒ monotonic properties ⇒ nonmonotonic run-time properties. We also discuss a method allowing us to prove global run-time properties. 
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References

SHOWING 1-10 OF 23 REFERENCES
A Framework of Directionality for Proving Termination of Logic Programs
TLDR
It is shown how this rich notion of directionality of predicates can be used to prove the universal termination of LD-resolution for logic programs with non-ground goals by using simple syntactic orderings of the kind used in rewriting theory.
On the Unification Free Prolog Programs
TLDR
It is concluded that in case of several well-known Prolog programs the unification algorithm can be replaced by iterated matching, which offers a possibility of improving the efficiency of program's execution.
Verifying Correctness of Logic Programs
TLDR
A sufficient condition for partial correctness with respect to a pre/post specification of program modules is proposed and Modularity and pre/ post specifications of programs modules are discussed.
Proving Termination of Logic Programs by Exploiting Term Properties
In this paper semi-linear norms, a class of functions to weight the terms occurring in a program, are defined and studied. All the functions in this class have the nice property of allowing a
On the occur-check-free PROLOG programs
TLDR
This paper provides natural syntactic conditions that allow the occur-check to be safely omitted from the unification algorithm, and proposes a program transformation that transforms every program into a program for which only the calls to the built-in unification predicate need to be resolved by a unification algorithm with the occurs-check.
Do Logic Programs Resemble Programs in Conventional Languages?
TLDR
This paper attempts to formalize the concept of a conventional logic program to check how often Prolog programs fall in a restricted class of conventional programs and ascertain which programming techniques result in programs falling outside this class.
Logic Programming
  • K. Apt
  • Computer Science
    Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics
  • 1990
Foundations of Logic Programming
...
...