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CSL
2010
Springer
13 years 8 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
APAL
2005
154views more  APAL 2005»
13 years 7 months ago
A Sahlqvist theorem for distributive modal logic
In this paper we consider distributive modal logic, a setting in which we may add modalities, such as classical types of modalities as well as weak forms of negation, to the fragm...
Mai Gehrke, Hideo Nagahashi, Yde Venema
ICFP
2005
ACM
14 years 7 months ago
Translating specifications from nominal logic to CIC with the theory of contexts
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Marino Miculan, Ivan Scagnetto, Furio Honsell
COMBINATORICS
2004
48views more  COMBINATORICS 2004»
13 years 7 months ago
Partition Identities I: Sandwich Theorems and Logical 0-1 Laws
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...
Jason P. Bell, Stanley Burris
LPAR
2010
Springer
13 years 6 months ago
Generating Counterexamples for Structural Inductions by Exploiting Nonstandard Models
Induction proofs often fail because the stated theorem is noninductive, in which case the user must strengthen the theorem or prove auxiliary properties before performing the induc...
Jasmin Christian Blanchette, Koen Claessen