← Back to feed
2026-05-26reasoning

2-ASP(Q) programs with weak constraints: Complexity and efficient implementation

Andrea Cuteri, Giuseppe Mazzotta, Francesco Ricca

PDF preview for 2-ASP(Q) programs with weak constraints: Complexity and efficient implementation
Read on arXiv →

Key claim

2-ASP(Q)^w effectively captures optimization problems.

This paper presents 2-ASP(Q)^w, a new fragment of Answer Set Programming that can handle optimization problems. The authors introduce effective strategies for computing quantified answer sets, validated through experiments on challenging benchmarks, demonstrating practical effectiveness.

In plain English

This paper presents 2-ASP(Q)^w, a new fragment of Answer Set Programming that can handle optimization problems. The authors introduce effective strategies for computing quantified answer sets, validated through experiments on challenging benchmarks, demonstrating practical effectiveness.

Novelty
7.5/10

The introduction of 2-ASP(Q)^w and its application to optimization problems represents a meaningful extension of existing ASP frameworks.

Reliability
8.0/10

The paper provides a complete complexity characterization and experimental evaluation, supporting its claims with solid evidence.

Deep reliability assessment

The methodology supports the complexity analysis and implementation of 2-ASPw(Q) programs, but the practical effectiveness of the proposed techniques may be overclaimed without extensive real-world testing.

Reproducibility

Yes, benchmarks and executables are available at https://osf.io/gmnjx.

Discussion questions

  1. How does the assumption of using CEGAR for 2-ASPw(Q) hold up against other potential optimization techniques?
  2. What are the practical implications for builders using 2-ASPw(Q) in real-world applications?
  3. What specific scenarios or benchmarks would falsify the claimed effectiveness of the proposed techniques?

Key figure

Figure 1 shows a cactus plot comparing the execution time of different systems on all instances.

Benchmark results

pap-optNumber of solved instances: 123vs pyqasp+22 instancesSOTA
mtdNumber of solved instances: 50vs pyqasp+2 instancesSOTA
coloringNumber of solved instances: 11vs pyqasp-14 instances
2-ASP(Q) programs with weak constraints: Complexity and efficient implementation — Frontier Papers