| dc.contributor.advisor |
Martin Rinard |
|
| dc.contributor.author |
Kuncak, Viktor |
|
| dc.contributor.other |
Computer Architecture |
|
| dc.date.accessioned |
2007-01-02T20:21:50Z |
|
| dc.date.available |
2007-01-02T20:21:50Z |
|
| dc.date.issued |
2007-01-01 |
|
| dc.identifier.other |
MIT-CSAIL-TR-2007-001 |
|
| dc.identifier.uri |
http://hdl.handle.net/1721.1/35258 |
|
| dc.description.abstract |
Boolean Algebra with Presburger Arithmetic (BAPA) combines1) Boolean algebras of sets of uninterpreted elements (BA)and 2) Presburger arithmetic operations (PA). BAPA canexpress the relationship between integer variables andcardinalities of unbounded finite sets and can be used toexpress verification conditions in verification of datastructure consistency properties.In this report I consider the Quantifier-Free fragment ofBoolean Algebra with Presburger Arithmetic (QFBAPA).Previous algorithms for QFBAPA had non-deterministicexponential time complexity. In this report I show thatQFBAPA is in NP, and is therefore NP-complete. My resultyields an algorithm for checking satisfiability of QFBAPAformulas by converting them to polynomially sized formulasof quantifier-free Presburger arithmetic. I expect thisalgorithm to substantially extend the range of QFBAPAproblems whose satisfiability can be checked in practice. |
|
| dc.description.provenance |
Made available in DSpace on 2007-01-02T20:21:50Z (GMT). No. of bitstreams: 2
MIT-CSAIL-TR-2007-001.pdf: 315999 bytes, checksum: 79b2ec5bb403a25b87e6704d184b2b43 (MD5)
MIT-CSAIL-TR-2007-001.ps: 842090 bytes, checksum: b240fd19b2e9de78d93c6b68b7e96185 (MD5)
Previous issue date: 2007-01-01 |
en |
| dc.format.extent |
14 p. |
|
| dc.format.extent |
315999 bytes |
|
| dc.format.extent |
842090 bytes |
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| dc.format.mimetype |
application/pdf |
|
| dc.format.mimetype |
application/postscript |
|
| dc.language.iso |
en_US |
|
| dc.relation.ispartofseries |
Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory |
|
| dc.subject |
Caratheodory theorem |
|
| dc.subject |
integer linear programming |
|
| dc.subject |
integer cone |
|
| dc.subject |
Hilbert basis |
|
| dc.title |
Quantifier-Free Boolean Algebra with Presburger Arithmetic is NP-Complete |
|
