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...
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...
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...
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...
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 ...