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» Interpolative Boolean Logic
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104
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JACM
2002
122views more  JACM 2002»
15 years 22 days 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
101
Voted
FPGA
2007
ACM
163views FPGA» more  FPGA 2007»
15 years 7 months ago
Improved SAT-based Boolean matching using implicants for LUT-based FPGAs
Boolean matching (BM) is a widely used technique in FPGA resynthesis and architecture evaluation. In this paper we present several improvements to the recently proposed SAT-based ...
Jason Cong, Kirill Minkovich
115
Voted
CADE
2007
Springer
16 years 1 months ago
Towards Efficient Satisfiability Checking for Boolean Algebra with Presburger Arithmetic
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...
Viktor Kuncak, Martin C. Rinard
127
Voted
CADE
2005
Springer
16 years 1 months ago
A Combination Method for Generating Interpolants
We present a combination method for generating interpolants for a class of first-order theories. Using interpolant-generation procedures for individual theories as black-boxes, our...
Greta Yorsh, Madanlal Musuvathi
96
Voted
PPDP
2009
Springer
15 years 7 months ago
Dependent type inference with interpolants
We propose a novel type inference algorithm for a dependentlytyped functional language. The novel features of our algorithm are: (i) it can iteratively refine dependent types wit...
Hiroshi Unno, Naoki Kobayashi