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LFCS
2007
Springer
15 years 6 months ago
The Intensional Lambda Calculus
We introduce a natural deduction formulation for the Logic of Proofs, a refinement of modal logic S4 in which the assertion PA is replaced by [[s]]A whose intended reading is “s...
Sergei N. Artëmov, Eduardo Bonelli
JAR
2007
123views more  JAR 2007»
14 years 11 months ago
Reasoning about Object-based Calculi in (Co)Inductive Type Theory and the Theory of Contexts
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Ind...
Alberto Ciaffaglione, Luigi Liquori, Marino Micula...
VMCAI
2007
Springer
15 years 5 months ago
Constraint Solving for Interpolation
Interpolation is an important component of recent methods for program verification. It provides a natural and effective means for computing separation between the sets of ‘good...
Andrey Rybalchenko, Viorica Sofronie-Stokkermans
CSL
2005
Springer
15 years 5 months ago
Permutative Logic
Recent work establishes a direct link between the complexity of a linear logic proof in terms of the exchange rule and the topological complexity of its corresponding proof net, ex...
Jean-Marc Andreoli, Gabriele Pulcini, Paul Ruet
SLOGICA
1998
128views more  SLOGICA 1998»
14 years 11 months ago
Encoding Modal Logics in Logical Frameworks
We present and discuss various formalizations of Modal Logics in Logical Frameworks based on Type Theories. We consider both Hilbert- and Natural Deductionstyle proof systems for ...
Arnon Avron, Furio Honsell, Marino Miculan, Cristi...