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» Monotonicity in Calculational Proofs
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BIRTHDAY
1999
Springer
13 years 11 months ago
Monotonicity in Calculational Proofs
We discuss the use of weakening and strengthening steps in calculational proofs. We present a metatheorem concerning monotonicity of positions in a formula that should have a more...
David Gries
CSL
2010
Springer
13 years 8 months ago
On Slicewise Monotone Parameterized Problems and Optimal Proof Systems for TAUT
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
Yijia Chen, Jörg Flum
SIAMCOMP
2008
109views more  SIAMCOMP 2008»
13 years 5 months ago
On Monotone Formula Composition of Perfect Zero-Knowledge Languages
We investigate structural properties of interactive perfect zero-knowledge (PZK) proofs. Specifically, we look into the closure properties of PZK languages under monotone boolean ...
Alfredo De Santis, Giovanni Di Crescenzo, Giuseppe...
ECCC
2002
103views more  ECCC 2002»
13 years 7 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák