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JACM
2002
122views more  JACM 2002»
15 years 4 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
CC
2008
Springer
150views System Software» more  CC 2008»
15 years 4 months ago
Balancing Syntactically Multilinear Arithmetic Circuits
In their seminal paper, Valiant, Skyum, Berkowitz and Rackoff proved that arithmetic circuits can be balanced [VSBR]. That is, [VSBR] showed that for every arithmetic circuit of ...
Ran Raz, Amir Yehudayoff
CORR
2008
Springer
148views Education» more  CORR 2008»
15 years 3 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
CORR
2011
Springer
137views Education» more  CORR 2011»
14 years 11 months ago
Existential witness extraction in classical realizability and via a negative translation
Abstract. We show how to extract existential witnesses from classical proofs using Krivine’s classical realizability—where classical proofs are interpreted as λ-terms with the...
Alexandre Miquel

Book
1331views
17 years 1 months ago
Physical Audio Signal Processing
"Delay effects, such as phasing, flanging, chorus, and artificial reverberation, provide an excellent starting point for the subject of digital waveguide modeling because both...
Julius O. Smith III