Read-Once Branching Programs (ROBPs)
Proofs of proximity for context free languages and read once branching programs
... verifier will reject with probability ε. To obtain constant soundness we can just repeat 10 the entire proximity oblivious protocol O(1/ε) times in parallel. This concludes the high-level description of our MAPs and IPP ...
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No small nondeterministic read once branching programs for CNFs of bounded treewidth
... Abstract. In this paper, given a parameter k, we demonstrate an infinite class of CNF s of treewidth at most k of their primal graphs such that equivalent nonde- terministic read-once branching ...
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Identity Testing and Lower Bounds for Read-k Oblivious Algebraic Branching Programs
... about read-once branching ...these branching programs is that by the read-once property, their computation can be broken into two subcomputations over disjoint variables, ...
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Deterministic Identity Testing for Sum of Read-once Oblivious Arithmetic Branching Programs
... It also needs to be investigated if these ideas can be generalized to work for sum of more than constantly many ROABPs, or depth-3 multilinear circuits. As mentioned in the introduction, the idea for equivalence of two ...
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Identity Testing for Constant-Width, and Any-Order, Read-Once Oblivious Arithmetic Branching Programs
... Branching Programs Rohit Gurjar ∗ Arpita Korwar Nitin Saxena † Received June 15, 2016; Revised April 9, 2017; Published May 15, 2017 Abstract: We give improved hitting sets for two special cases of ...
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On the read once property of branching programs and CNFs of bounded treewidth
... Proof. To establish the read-once property of Z 0 , it is sufficient to prove that any root-leaf path P of Z 0 that is not a path of Z is read-once. By construction, such a path P includes u ...
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Separation Between Read-once Oblivious Algebraic Branching Programs (ROABPs) and Multilinear Depth Three Circuits
... The models and our results. We define the relevant models and state our results now. I Definition 1 (Algebraic Branching Program). An Algebraic Branching Program(ABP) in the variables X = {x 1 , x 2 , ..., ...
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Quasipolynomial simulation of DNNF by a non determinstic read once branching program
... Non-deterministic Read- Once Branching Programs ( NROBP s) that can be thought as Free Binary Decision Dia- grams ( FBDD s) with OR ...
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Pseudorandomness for Regular Branching Programs via Fourier Analysis
... – Read-once branching programs read each input bit at most ...Oblivious branching programs choose which input bit to read depending only on the time step i, and not ...
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GGH15 Beyond Permutation Branching Programs: Proofs, Attacks, and Candidates
... the read-once setting, general branching programs are more expressive than permutation branching ...to read-once branching programs is useful in applications ...
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Sum of Products of Read-Once Formulas
... or perm n . The techniques introduced in [7, 8] have been generalized and applied to prove lower bounds against several classes of constant depth arithmetic circuits, regular arithmetic formulas and homogeneous ...
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Pseudorandomness for Width-2 Branching Programs
... that read-once width-2 branching programs that read one bit at a time can be fooled by linear ...the branching program B as a boolean function over F n 2 and show inductively ...
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Reconstruction of Full Rank Algebraic Branching Programs
... for read-once oblivious algebraic branching programs (ROABP) was given in [29] much before the quasi-polynomial time hitting-set generators for the same model were designed [14, ...of ...
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Algebraic Branching Programs, Border Complexity, and Tangent Spaces
... 2 Jarod Alper, Tristram Bogart, and Mauricio Velasco. A lower bound for the determinantal complexity of a hypersurface. Foundations of Computational Mathematics, pages 1–8, 2015. 3 Matthew Anderson, Michael A. Forbes, ...
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Branching Programs with Variables, and Implications for Time-Space Tradeoffs
... of read-write variables, where m may depend on ...the branching- program model for functions, while reads are handled by node labels in y 1 , ...the branching program should double, but instead the ...
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Complete Derandomization of Identity Testing and Reconstruction of Read-Once Formulas
... 23 M. Forbes and A. Shpilka. Explicit noether normalization for simultaneous conjugation via polynomial identity testing. In APPROX-RANDOM, pages 527–542, 2013. 24 M. Forbes and A. Shpilka. Quasipolynomial-time identity ...
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Pseudorandomness and Fourier-Growth Bounds for Width-3 Branching Programs
... ordered branching program (given by the permutation π ...ordered branching program that can distinguish the output of an instantiation of Nisan’s generator when permuted according to π from uniformly random ...
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Testing read once formula satisfaction
... Testing Read-Once Formula Satisfaction ELDAR FISCHER and YONATAN GOLDHIRSH , Technion, Israel Institute of Technology ODED LACHISH , Birkbeck, University of London We study the query complexity of testing ...
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On Reconstruction and Testing of Read-Once Formulas
... Read-Once Verification is testing whether a given circuit C, from a certain circuit class C , and a given PROF Φ compute the same polynomial. This is somewhat a harder problem than PIT since it requires ...
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On algebraic branching programs of small width
... 32 KARL BRINGMANN and CHRISTIAN IKENMEYER , Max-Planck-Institut für Informatik JEROEN ZUIDDAM , Centrum Wiskunde & Informatica In 1979, Valiant showed that the complexity class VP e of families with polynomially ...
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