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There exist several results on deciding termination and computing runtimebounds for triangular weakly non-linear loops (twn-loops). We show how to useresults on such subclasses of programs where complexity bounds are computablewithin incomplete approaches for complexity analysis of full integer programs.To this end, we present a novel modular approach which computes local runtimebounds for subprograms which can be transformed into twn-loops. These localruntime bounds are then lifted to global runtime bounds for the whole program.The power of our approach is shown by our implementation in the tool KoAT whichanalyzes complexity of programs where all other state-of-the-art tools fail.

Automated Complexity Analysis of Integer Programs via Triangular Weakly Non-Linear Loops (Short WST Version)