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» An Intriguing Logic with Two Implicational Connectives
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CSL
2007
Springer
13 years 12 months ago
A Games Model of Bunched Implications
A game semantics of the (−−∗, →)-fragment of the logic of bunched implications, BI, is presented. To date, categorical models of BI have been restricted to two kinds: funct...
Guy McCusker, David J. Pym
CAEPIA
2003
Springer
13 years 11 months ago
Towards Biresiduated Multi-adjoint Logic Programming
Abstract. Multi-adjoint logic programs were recently proposed as a generalization of monotonic and residuated logic programs, in that simultaneous use of several implications in th...
Jesús Medina, Manuel Ojeda-Aciego, Agust&ia...
FROCOS
2000
Springer
13 years 9 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
LICS
2008
IEEE
14 years 4 days ago
Focusing on Binding and Computation
Variable binding is a prevalent feature of the syntax and proof theory of many logical systems. In this paper, we define a programming language that provides intrinsic support fo...
Daniel R. Licata, Noam Zeilberger, Robert Harper