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» Deduction as Reduction
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CIE
2007
Springer
13 years 11 months ago
Refocusing Generalised Normalisation
Abstract. When defined with general elimination/application rules, natural deduction and λ-calculus become closer to sequent calculus. In order to get real isomorphism, normalisa...
José Espírito Santo
TLCA
2001
Springer
13 years 9 months ago
Strong Normalization of Classical Natural Deduction with Disjunction
We introduce λµ→∧∨⊥ , an extension of Parigot’s λµ-calculus where disjunction is taken as a primitive. The associated reduction relation, which includes the permutati...
Philippe de Groote
CADE
1999
Springer
13 years 9 months ago
A dynamic programming approach to categorial deduction
We reduce the provability problem of any formula of the Lambek calculus to some context-free parsing problem. This reduction, which is based on non-commutative proof-net theory, al...
Philippe de Groote
ICLP
2004
Springer
13 years 10 months ago
Non-viability Deductions in Arc-Consistency Computation
Arc-Consistency (AC) techniques have been used extensively in the study of Constraint Satisfaction Problems (CSP). These techniques are used to simplify the CSP before or during th...
Camilo Rueda, Frank D. Valencia
CP
2005
Springer
13 years 7 months ago
Using Boolean Constraint Propagation for Sub-clauses Deduction
Boolean Constraint Propagation (BCP) is recognized as one of the most useful technique for efficient satisfiability checking. In this paper a new extension of the scope of boole...
Sylvain Darras, Gilles Dequen, Laure Devendeville,...