A Programming Language for Feasible Solutions
Runtime efficiency and termination are crucial properties in the studies of program verification. Instead of dealing with these issues in an ad hoc manner, it would be useful to develop a robust framework in which such properties are guaranteed by design. This paper introduces a new imperative programming language whose design is grounded in a static type system that ensures the following equivalence property: All definable programs are guaranteed to run in polynomial time; Conversely, all problems solvable in polynomial time can be solved by some programs of the language. The contribution of this work is twofold. On the theoretical side, the foundational equivalence property is established, and the proof of the equivalence theorem is non-trivial. On the practical side, a programming approach is proposed that can streamline program analysis and verification for feasible computations. An interpreter for the language has been implemented, demonstrating the feasibility of the approach in practice.
Tue 14 OctDisplayed time zone: Perth change
13:40 - 15:20 | |||
13:40 60mKeynote | Towards static analyses and abstract domains for hyperproperties SAS Xavier Rival Inria - CNRS - Ecole Normale Superieure de Paris - PSL University | ||
14:40 20mTalk | Comparing the Precision of Abstract Operators in the eBPF Verifier using Differential Synthesis SAS Matan Shachnai , Harishankar Vishwanathan , Srinivas Narayana Rutgers University, Santosh Nagarakatte Rutgers University Link to publication Pre-print | ||
15:00 20mTalk | A Programming Language for Feasible Solutions SAS Weijun Chen Shanghai Jiao Tong University, China, Yuxi Fu Shanghai Jiao Tong University, China, Huan Long Shanghai Jiao Tong University | ||