- Abstract:
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We give a deterministic algorithm for counting the number of satisfying assignments of any AC0[] circuit C of size s and depth d over n variables in time 2n-f (n;s;d), where f (n; s; d) = n=O(log(s))d-1, whenever s = 2o(n1=d ). As a consequence, we get that for each d, there is a language in ENP that does not have AC0[] circuits of size 2o(n1=(d+1)). This is the first lower bound in ENP against AC0[] circuits that beats the lower bound of 2 (n1=2(d-1)) due to Razborov and Smolensky for large ...
Expand abstract - Publication status:
- Accepted
- Peer review status:
- Reviewed (other)
- Version:
- Publisher's Version
- Files:
-
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(pdf, 583.7KB)
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- Publisher copy:
- 10.4230/LIPIcs.MFCS.2018.78
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- Publisher:
- Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Publisher's website
- Publication date:
- 2018-08-13
- Acceptance date:
- 2018-08-13
- DOI:
- Pubs id:
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pubs:908932
- URN:
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uri:98b7b047-54b1-40d8-ba47-55467c3de7e4
- UUID:
-
uuid:98b7b047-54b1-40d8-ba47-55467c3de7e4
- Local pid:
- pubs:908932
- Copyright holder:
- Rajgopal et al.
- Copyright date:
- 2018
- Notes:
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© Ninad Rajgopal, Rahul Santhanam and Srikanth Srinivasan;
licensed under Creative Commons License CC-BY
43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018).
Conference item
Deterministically counting satisfying assignments for constant-depth circuits with parity gates, with implications for lower bounds
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