BOUNDS FOR WIDTH TWO BRANCHING PROGRAMS.

Allan Borodin; Danny Dolev; Faith E. Fich; Wolfgang Paul

doi:10.1137/0215040

BOUNDS FOR WIDTH TWO BRANCHING PROGRAMS.

Allan Borodin^*
, Danny Dolev
, Faith E. Fich
, Wolfgang Paul

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Branching programs have been studied as a fundamental model for space bounded computations and, in particular, as a model in which to try to establish nontrivial space lower bounds and time-space trade-offs. At present, there still do not exist any results for single output functions. We consider a class of severely constrained programs (those having width 2) and establish characterizations as well as lower bounds for some Boolean functions computable within this model.

Original language	English
Pages (from-to)	549-560
Number of pages	12
Journal	SIAM Journal on Computing
Volume	15
Issue number	2
DOIs	https://doi.org/10.1137/0215040
State	Published - 1986
Externally published	Yes

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title = "BOUNDS FOR WIDTH TWO BRANCHING PROGRAMS.",

abstract = "Branching programs have been studied as a fundamental model for space bounded computations and, in particular, as a model in which to try to establish nontrivial space lower bounds and time-space trade-offs. At present, there still do not exist any results for single output functions. We consider a class of severely constrained programs (those having width 2) and establish characterizations as well as lower bounds for some Boolean functions computable within this model.",

author = "Allan Borodin and Danny Dolev and Fich, \{Faith E.\} and Wolfgang Paul",

year = "1986",

doi = "10.1137/0215040",

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AU - Borodin, Allan

AU - Dolev, Danny

AU - Fich, Faith E.

AU - Paul, Wolfgang

PY - 1986

Y1 - 1986

N2 - Branching programs have been studied as a fundamental model for space bounded computations and, in particular, as a model in which to try to establish nontrivial space lower bounds and time-space trade-offs. At present, there still do not exist any results for single output functions. We consider a class of severely constrained programs (those having width 2) and establish characterizations as well as lower bounds for some Boolean functions computable within this model.

AB - Branching programs have been studied as a fundamental model for space bounded computations and, in particular, as a model in which to try to establish nontrivial space lower bounds and time-space trade-offs. At present, there still do not exist any results for single output functions. We consider a class of severely constrained programs (those having width 2) and establish characterizations as well as lower bounds for some Boolean functions computable within this model.

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SN - 0097-5397

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EP - 560

JO - SIAM Journal on Computing

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BOUNDS FOR WIDTH TWO BRANCHING PROGRAMS.

Abstract

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