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» An Intriguing Logic with Two Implicational Connectives
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CSL
2007
Springer
13 years 11 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 10 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 8 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
13 years 11 months 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