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» On Proof Nets for Multiplicative Linear Logic with Units
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CORR
1999
Springer
75views Education» more  CORR 1999»
13 years 8 months ago
A System of Interaction and Structure
This paper introduces a logical system, called BV , which extends multiplicative linear logic by a non-commutative self-dual logical operator. This extension is particularly challe...
Alessio Guglielmi
APAL
2008
80views more  APAL 2008»
13 years 8 months ago
System BV is NP-complete
System BV is an extension of multiplicative linear logic (MLL) with the rules mix, nullary mix, and a self-dual, non-commutative logical operator, called seq. While the rules mix ...
Ozan Kahramanogullari
LFCS
2007
Springer
14 years 2 months ago
Density Elimination and Rational Completeness for First-Order Logics
Density elimination by substitutions is introduced as a uniform method for removing applications of the Takeuti-Titani density rule from proofs in firstorder hypersequent calculi....
Agata Ciabattoni, George Metcalfe
LICS
2008
IEEE
14 years 2 months ago
A Neutral Approach to Proof and Refutation in MALL
We propose a setting in which the search for a proof of B or a refutation of B (a proof of ¬B) can be carried out simultaneously: this is in contrast to the usual approach in aut...
Olivier Delande, Dale Miller
CSL
2001
Springer
14 years 1 months ago
Non-commutativity and MELL in the Calculus of Structures
We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of m...
Alessio Guglielmi, Lutz Straßburger