Analyzing the Implicit Computational Complexity of object-oriented programs

Jean-Yves Marion (1) , Romain Péchoux (1)

1 CARTE - Theoretical adverse computations, and safety

A sup-interpretation is a tool which provides upper bounds on the size of the values computed by the function symbols of a program. Sup-interpretations have shown their interest to deal with the complexity of first order functional programs. This paper is an attempt to adapt the framework of sup-interpretations to a fragment of object-oriented programs, including loop and while constructs and methods with side effects. We give a criterion, called brotherly criterion, which uses the notion of sup-interpretation to ensure that each brotherly program computes objects whose size is polynomially bounded by the inputs sizes. Moreover we give some heuristics in order to compute the sup-interpretation of a given method.

Domaines: Complexité [cs.CC]

Jean-Yves Marion, Romain Péchoux. Analyzing the Implicit Computational Complexity of object-oriented programs. Annual Conference on Foundations of Software Technology and Theoretical Computer Science - FSTTCS 2008, IARCS, the Indian Association for Research in Computing Science, Dec 2008, Bangalore, India. ⟨inria-00332550⟩