Abstract. We present an algorithm for generating all polynomial invariants of Psolvable loops with assignments and nested conditionals. We prove termination of our algorithm. The p...
In [17], an abstract framework for automatically generating loop invariants of imperative programs was proposed. This framework was then instantiated for the language of conjuncti...
We describe the new software package Aligator for automatically inferring polynomial loop invariants. The package combines algorithms from symbolic summation and polynomial algebra...
We discuss interesting properties of a general technique for inferring polynomial invariants for a subfamily of imperative loops, called the P-solvable loops, with assignments only...
We present a complete method for synthesizing lexicographic linear ranking functions supported by inductive linear invariants for loops with linear guards and transitions. Proving ...