Representing Boolean formulas by using trees of implicants and implicates

نویسندگان

  • G. Gutiérrez
  • I. P. de Guzmán
چکیده

A new tree-based representation for propositional formulas is introduced. This representation, the ∆-trees, allows a compact representation for well-formed formulas as well as a number of reduction strategies in order to consider only those occurrences of literals which are relevant for the satisfiability of

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Anti-Links for Boolean Function Manipulation

Manipulation of Boolean functions has important applications in such fields as hardware verification, non-monotonic reasoning, and decision support. Most often, in such applications, the set of prime implicates/implicants of a large formula must be computed. Many algorithms have been proposed to compute the prime implicates of propositionalBoolean formulas, e.g. [4, 5]. Most of them assume that...

متن کامل

Implicant based parallel all solution solver for Boolean satisfiability

This paper develops a parallel computational solver for computing all satifying assignments of a Boolean system of equations defined by Boolean functions of several variables. While there are we known solvers for satisfiability of Boolean formulas in CNF form, these are designed primarily for deciding satisfiability of the formula and do not address the problem of finding all satisfying solutio...

متن کامل

METAPRIME, an Interactive Fault Tree Analyser

The performances of almost all available fault tree analysis tools are limited by the performance of the prime implicant computation procedure they use. All these procedures manipulate the prime implicants of the fault trees in extension, so that the analysis costs are directly related to the number of prime implicants to be generated, which in practice makes these tools di cult to be applied o...

متن کامل

Advanced Features of the Fault Tree Solver FTREX

This paper presents advanced features of a fault tree solver FTREX (Fault Tree Reliability Evaluation eXpert). Fault tree analysis is one of the most commonly used methods for the safety analysis of industrial systems especially for the probabilistic safety analysis (PSA) of nuclear power plants. Fault trees are solved by the classical Boolean algebra[1,2], conventional Binary Decision Diagram ...

متن کامل

Prime Compilation of Non-Clausal Formulae

Formula compilation by generation of prime implicates or implicants finds a wide range of applications in AI. Recent work on formula compilation by prime implicate/implicant generation often assumes a Conjunctive/Disjunctive Normal Form (CNF/DNF) representation. However, in many settings propositional formulae are naturally expressed in non-clausal form. Despite a large body of work on compilat...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000