Abstract – This study presents Albert Burroni’s polygraphs as an algebraic and graphical description of first-order functional programs, where functions can have many outputs....
– We present a methodology for proving termination of left-linear term rewriting systems (TRSs) by using Albert Burroni’s polygraphs, a kind of rewriting systems on algebraic c...
Although every terminating loop has a ranking function, not every loop has a ranking function of a restricted form, such as a lexicographic tuple of polynomials over program variab...
The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main r...
This paper focuses on the inference of modes for which a logic program is guaranteed to terminate. This generalizes traditional termination analysis where an analyzer tries to veri...