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CSL
2010
Springer
13 years 11 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
EUROCAST
2005
Springer
97views Hardware» more  EUROCAST 2005»
14 years 3 months ago
Extracting Computer Algebra Programs from Statements
In this paper, an approach to synthesize correct programs from specifications is presented. The idea is to extract code from definitions appearing in statements which have been me...
Jesús Aransay, Clemens Ballarin, Julio Rubi...
CSL
2006
Springer
14 years 1 months ago
Jump from Parallel to Sequential Proofs: Multiplicatives
We introduce a new class of multiplicative proof nets, J-proof nets, which are a typed version of Faggian and Maurel's multiplicative L-nets. In J-proof nets, we can character...
Paolo Di Giamberardino, Claudia Faggian
ENTCS
2006
171views more  ENTCS 2006»
13 years 10 months ago
Program Extraction From Proofs of Weak Head Normalization
We formalize two proofs of weak head normalization for the simply typed lambdacalculus in first-order minimal logic: one for normal-order reduction, and one for applicative-order ...
Malgorzata Biernacka, Olivier Danvy, Kristian St&o...
APLAS
2011
ACM
12 years 10 months ago
Constructing List Homomorphisms from Proofs
The well-known third list homomorphism theorem states that if a function h is both an instance of foldr and foldl, it is a list homomorphism. Plenty of previous works devoted to co...
Yun-Yan Chi, Shin-Cheng Mu