# On the Influence of the State Encoding on OBDD-Representations of Finite State Machines

Christoph Meinel; Thorsten Theobald

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 33, Issue: 1, page 21-31
- ISSN: 0988-3754

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topMeinel, Christoph, and Theobald, Thorsten. "On the Influence of the State Encoding on OBDD-Representations of Finite State Machines." RAIRO - Theoretical Informatics and Applications 33.1 (2010): 21-31. <http://eudml.org/doc/222070>.

@article{Meinel2010,

abstract = {
Ordered binary decision diagrams are an important
data structure for the representation of Boolean functions.
Typically, the underlying variable ordering is used as
an optimization parameter.
When finite state machines are represented by OBDDs
the state encoding can be used as an additional
optimization parameter.
In this paper, we analyze the influence of the state encoding on the
OBDD-representations of counter-type
finite state machines.
In particular, we prove lower bounds, derive
exact sizes for important
encodings and construct a worst-case encoding which leads to
exponential-size OBDDs.
},

author = {Meinel, Christoph, Theobald, Thorsten},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {ordered binary decision diagrams; Boolean functions},

language = {eng},

month = {3},

number = {1},

pages = {21-31},

publisher = {EDP Sciences},

title = {On the Influence of the State Encoding on OBDD-Representations of Finite State Machines},

url = {http://eudml.org/doc/222070},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Meinel, Christoph

AU - Theobald, Thorsten

TI - On the Influence of the State Encoding on OBDD-Representations of Finite State Machines

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 1

SP - 21

EP - 31

AB -
Ordered binary decision diagrams are an important
data structure for the representation of Boolean functions.
Typically, the underlying variable ordering is used as
an optimization parameter.
When finite state machines are represented by OBDDs
the state encoding can be used as an additional
optimization parameter.
In this paper, we analyze the influence of the state encoding on the
OBDD-representations of counter-type
finite state machines.
In particular, we prove lower bounds, derive
exact sizes for important
encodings and construct a worst-case encoding which leads to
exponential-size OBDDs.

LA - eng

KW - ordered binary decision diagrams; Boolean functions

UR - http://eudml.org/doc/222070

ER -

## References

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- Ch. Meinel and T. Theobald, Local encoding transformations for optimizing OBDD-representations of finite state machines, in Proc. International Conference on Formal Methods in Computer-Aided Design (Palo Alto, CA), Springer, Berlin, Lecture Notes in Computer Science1166 (1996) 404-418.
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- I. Wegener, Efficient data structures for Boolean functions. Discrete Math.136 (1994) 347-372. Zbl0939.68597

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