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On the composition problem for OBDDs with multiple variable orders

Identifieur interne : 001714 ( PascalFrancis/Curation ); précédent : 001713; suivant : 001715

On the composition problem for OBDDs with multiple variable orders

Auteurs : A. Slobodova [Allemagne]

Source :

RBID : Pascal:98-0427282

Descripteurs français

English descriptors

Abstract

Ordered Binary Decision Diagram (OBDD) is a favorite data structure used for representation Boolean functions in computer-aided synthesis and verification of digital systems. The secret of its success is the efficiency of the algorithms for Boolean operations, satisfiability and equivalence check. However, the algorithms work well under condition only that the variable order of considered OBDDs is the same. In this paper, we discuss the problem of Boolean operations on OBDDs with multiple variable orders, which naturally appears, e.g., in the connection with minimization techniques based on dynamic variable reordering. Our goal is to place the problem with respect to its complexity and to point out the difficulties in finding an acceptable solution.
pA  
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A08 01  1  ENG  @1 On the composition problem for OBDDs with multiple variable orders
A09 01  1  ENG  @1 MFCS'98 : mathematical foundations of computer science 1998 : Brno, 24-28 August 1998
A11 01  1    @1 SLOBODOVA (A.)
A12 01  1    @1 BRIM (Lubos) @9 ed.
A12 02  1    @1 GRUSKA (Josef) @9 ed.
A12 03  1    @1 ZLATUSKA (Jirí) @9 ed.
A14 01      @1 Institute of Telematics @2 Trier @3 DEU @Z 1 aut.
A20       @1 645-655
A21       @1 1998
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C01 01    ENG  @0 Ordered Binary Decision Diagram (OBDD) is a favorite data structure used for representation Boolean functions in computer-aided synthesis and verification of digital systems. The secret of its success is the efficiency of the algorithms for Boolean operations, satisfiability and equivalence check. However, the algorithms work well under condition only that the variable order of considered OBDDs is the same. In this paper, we discuss the problem of Boolean operations on OBDDs with multiple variable orders, which naturally appears, e.g., in the connection with minimization techniques based on dynamic variable reordering. Our goal is to place the problem with respect to its complexity and to point out the difficulties in finding an acceptable solution.
C02 01  X    @0 001D02A06
C03 01  X  FRE  @0 Informatique théorique @5 01
C03 01  X  ENG  @0 Computer theory @5 01
C03 01  X  SPA  @0 Informática teórica @5 01
C03 02  X  FRE  @0 Problème combinatoire @5 02
C03 02  X  ENG  @0 Combinatorial problem @5 02
C03 02  X  SPA  @0 Problema combinatorio @5 02
C03 03  X  FRE  @0 Problème NP difficile @5 03
C03 03  X  ENG  @0 NP hard problem @5 03
C03 03  X  SPA  @0 Problema NP duro @5 03
C03 04  X  FRE  @0 Diagramme binaire décision @5 04
C03 04  X  ENG  @0 Binary decision diagram @5 04
C03 04  X  SPA  @0 Diagrama binaria decisión @5 04
C03 05  X  FRE  @0 Fonction booléenne @5 05
C03 05  X  ENG  @0 Boolean function @5 05
C03 05  X  SPA  @0 Función booliana @5 05
C03 06  X  FRE  @0 Complexité algorithme @5 06
C03 06  X  ENG  @0 Algorithm complexity @5 06
C03 06  X  SPA  @0 Complejidad algoritmo @5 06
N21       @1 285
pR  
A30 01  1  ENG  @1 Mathematical foundations of computer science. International symposium @2 23 @3 Brno CZE @4 1998-08-24

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