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arXiv · 1311.4046

Synthesis for Polynomial Lasso Programs

Jan Leike·Ashish Tiwari
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Abstract

We present a method for the synthesis of polynomial lasso programs. These programs consist of a program stem, a set of transitions, and an exit condition, all in the form of algebraic assertions (conjunctions of polynomial equalities). Central to this approach is the discovery of non-linear (algebraic) loop invariants. We extend Sankaranarayanan, Sipma, and Manna's template-based approach and prove a completeness criterion. We perform program synthesis by generating a constraint whose solution is a synthesized program together with a loop invariant that proves the program's correctness. This constraint is non-linear and is passed to an SMT solver. Moreover, we can enforce the termination of the synthesized program with the support of test cases.

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Jan Leike, Ashish Tiwari. 2013-11-16. Synthesis for Polynomial Lasso Programs. https://arxiv.org/abs/1311.4046

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