Efficient first order functional program interpreter with time bound certifications

Colloque avec actes et comité de lecture. internationale.International audienceWe demonstrate that the class of functions computed by first order functional programs over lists which terminate by multiset path ordering and admit a polynomial quasi-interpretation, is exactly the class of function computable in polynomial time. The interest of this result lies on (i) the simplicity of the conditions on programs to certify their complexity, (ii) the fact that an important class of natural programs is captured, (iii) potential applications for program optimization