The KIPS Transactions:PartA (정보처리학회논문지A)

Korea Information Processing Society (한국정보처리학회)
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Automated Detecting and Tracing for Plagiarized Programs using Gumbel Distribution Model

굼벨 분포 모델을 이용한 표절 프로그램 자동 탐색 및 추적

  • 지정훈 (부산대학교 컴퓨터공학과) ;
  • 우균 (부산대학교 컴퓨터공학과) ;
  • 조환규 (부산대학교 컴퓨터공학과)
  • Published : 2009.12.31
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Abstract

Studies on software plagiarism detection, prevention and judgement have become widespread due to the growing of interest and importance for the protection and authentication of software intellectual property. Many previous studies focused on comparing all pairs of submitted codes by using attribute counting, token pattern, program parse tree, and similarity measuring algorithm. It is important to provide a clear-cut model for distinguishing plagiarism and collaboration. This paper proposes a source code clustering algorithm using a probability model on extreme value distribution. First, we propose an asymmetric distance measure pdist($P_a$, $P_b$) to measure the similarity of $P_a$ and $P_b$ Then, we construct the Plagiarism Direction Graph (PDG) for a given program set using pdist($P_a$, $P_b$) as edge weights. And, we transform the PDG into a Gumbel Distance Graph (GDG) model, since we found that the pdist($P_a$, $P_b$) score distribution is similar to a well-known Gumbel distribution. Second, we newly define pseudo-plagiarism which is a sort of virtual plagiarism forced by a very strong functional requirement in the specification. We conducted experiments with 18 groups of programs (more than 700 source codes) collected from the ICPC (International Collegiate Programming Contest) and KOI (Korean Olympiad for Informatics) programming contests. The experiments showed that most plagiarized codes could be detected with high sensitivity and that our algorithm successfully separated real plagiarism from pseudo plagiarism.

소프트웨어의 지적 재산권 보호 및 인증에 대한 관심과 중요성이 커지면서 소프트웨어에 대한 표절 탐색 및 보호, 판단에 대한 연구가 활발 하게 진행되고 있다. 지금까지 표절에 대한 연구는 주로 속성 계산, 토큰 패턴, 프로그램 파스트리, 유사도 측정 알고리즘 등을 이용해 두 프로 그램을 비교하는데 초점을 두었다. 이와 더불어, 표절과 협동(collaboration)을 구분하는 것은 표절연구에서 매우 중요하다. 본 논문에서는 극단 치 분포 확률 모델을 이용한 소스코드 클러스터링을 위한 알고리즘을 제안한다. 본 논문에서는 먼저 두 프로그램 먼저 두 프로그램 $P_a$와 $P_b$ 의 유사도를 측정하는 비대칭거리측정함수 pdist($P_a$, $P_b$)를 제안하고, 모든 소스코드 쌍에 대해 pdist($P_a$, $P_b$)를 통해 측정된 유사도를 간선무게로 하는 표절방 향그래프(PDG)를 생성한다. 그리고 본 논문에서는 표절방향그래프를 굼벨거리그래프(GDG)로 변환한다. pdist($P_a$, $P_b$) 점수 분포는 극단치 확률 분포로 잘 알려진 굼벨분포(Gumbel distribution)와 매우 유사하다. 또한, 본 논문에서는 의사표절(pseudo- plagiarism)을 새롭게 정의한다. 의사표절은 프로그램의 강한 기능적 제약사항으로 인해 발생하는 가상 표절의 한 종류이다. 본 논문에서는 ICPC(International Collegiate Programming Contest)와 KOI(Korean Olympiad for Informatics) 대회에 제출된 18개 프로그램 그룹의 700개 이상의 소스코드에 대해 실험을 진행하였다. 실험결과 프로그램 그룹에 포함된 표절 프로그램들을 찾았으며, 소스코드 클러스터링 알고리즘은 의사표절과 실제표절 프로그램 그룹을 효과적으로 구분하였다.

Keywords

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