• Proceedings of the Korean Information Science Society Conference
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• 2003.04a
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• pp.881-883
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• 2003

하드웨어 검증과 모델 체킹 등의 분야에서, SAT(satisfiability problem)나 항진 명제 검사(tautology checking)는 매우 중요한 문제이다. 그러나 이들은 모두 NP-complete 문제이므로 그 복잡도가 매우 크다. 이를 해결하기 위해 여러 가지 연구가 이루어져 왔으며, 여러 효율적인 알고리즘이 존재한다. 이러한 알고리즘은 대부분 일반 표현식을 CNF(conjunctive normal form)로 바꾸어 입력 형식으로 사용한다. 이 논문에서는 일반 표현식을 입력으로 받아 DNF로 변환한 뒤 DNF의 특성을 이용하여 SAT를 검사하는 효율적인 방법을 제시한다.

• Journal of the Korean Institute of Telematics and Electronics B
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• v.29B no.1
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• pp.18-25
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• 1992

In this paper, a rule checker which aids in composing a consistent knowledge base by checking redundancies and inconsistencies in a knowledge base is proposed. The proposed algorithm checks the rules by representing the rule connections as a network . The standard model of the rules adapted in this algorithm is in the Conjunctive Normal Form which includes NOT's, and rules of conventional expert system can be checked by converting them into the standard form by a rule form at converter. When compared with Ginsberg's KB-reducer which is conceptually most similar to the proposed algorithm among existing methods,it is shown by a computer simulation that with 360 rules, the checking time is three times faster and the rate increased as the number of rules increased, but the total memory requirement of the proposed agorithm is 1.2 times larger. The proposed algorithm has further advantages in that it can check circular rule chains and can find the paths of the redundant and inconsistent rules.

• Journal of Information Technology Services
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• v.2 no.2
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• pp.63-73
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• 2003

Insurance system has a lot of decision factors which are affected by the kinds of insurance products. and has the features of many exceptions. Since in applying the product attributes to the current system the value definition through tables and the exception treatment logic (if then else) are used in parallel, the cost of a product change and a new product development becomes increased and the prompt market reaction is difficult. In this paper, we propose the well formed rule base system which makes data for the business logic of insurance attributes and discuss the benefit of application of this system to the real project.

• Proceedings of the Korea Information Processing Society Conference
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• 2004.05a
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• pp.997-1000
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• 2004

Boolean Satisfiability (SAT)는 전산학의 중요한 문제로서 SAT problem을 풀기 위한 많은 알고리즘과 도구들이 제안되어 왔다. 특히, 지난 몇 년 간 많은 발전을 이루어왔고, 하드웨어 검증과 모델 체킹 등의 분야에서 많이 적용되어 왔다. 여러 문제들을 Conjunctive Normal Form (CNF)로 표현하여 CNF의 특성을 이용하여 SAT 알고리즘이 발전되어 왔다. 그런데, 회로를 CNF로 표현할 때 몇 가지 문제점이 발생하는데 특히 CNF는 회로의 structural information 을 잃어버린다는 것이 큰 문제점이다. 이를 보완하기 위하여 회로의 structural information을 이용하기 위한 많은 연구가 진행되어 왔다. 이러한 대부분의 연구는 회로의 정보를 가지고 있다는 경우에 한정된다. 그러나, 하드웨어 검증에서 회로의 정보 없이 검증해야 하는 경우들도 발생한다. 이 논문은 회로의 정보를 가지고 있지 않을 때 CNF 만으로 회로의 structural information을 추론하는 방법을 제시한다.

• Journal of KIISE:Software and Applications
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• v.34 no.8
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• pp.743-751
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• 2007

Model checking has been successfully applied to hardware verification. Software is more subtle than hardware with respect to formal verification due to its infinite state space. Although there are many research activities in this area, bounded model checking is regarded as a promising technique. Bounded model checking uses an upper bound to unroll its model, which is the main advantage of bounded model checking compared to other model checking techniques. In this paper, we applied bounded model checking to verify BIR which is the input model for the model checking tool BOGOR. Some BIR examples are verified with our technique. Experimental results show that bounded model checking is better than explicit model checking provided by BOGOR. This paper presents the formalization of BIR and the encoding algorithm of BIR into CNF.

• Journal of KIISE:Software and Applications
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• v.34 no.7
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• pp.616-624
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• 2007

Sudoku can be regarded as a SAT problem. Various encodings are known for encoding Sudoku as a Conjunctive Normal Form (CNF) formula, which is the standard input for most SAT solvers. Using these encodings for large Sudoku, however, generates too many clauses, which impede the performance of state-of-the-art SAT solvers. This paper presents an optimized CNF encodings of Sudoku to deal with large instances of the puzzle. We use fixed cells in Sudoku to remove redundant clauses during the encoding phase. This results in reducing the number of clauses and a significant speedup in the SAT solving time.