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» On the Proof Theory of the Modal mu-Calculus
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LICS
2006
IEEE
14 years 1 months ago
PSPACE Bounds for Rank-1 Modal Logics
aic semantics, which conveniently abstracts from the details of a given model class and thus allows covering a broad range of logics in a uniform way. Categories and Subject Descri...
Lutz Schröder, Dirk Pattinson
LFCS
2007
Springer
14 years 1 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
POPL
2010
ACM
14 years 4 months ago
A Relational Modal Logic for Higher-Order Stateful ADTs
The method of logical relations is a classic technique for proving the equivalence of higher-order programs that implement the same observable behavior but employ different intern...
Derek Dreyer, Georg Neis, Andreas Rossberg, Lars B...
ICTAC
2010
Springer
13 years 6 months ago
A Modality for Safe Resource Sharing and Code Reentrancy
Abstract. The potential of linear logic in facilitating reasoning on resource usage has long been recognized. However, convincing uses of linear types in practical programming are ...
Rui Shi, Dengping Zhu, Hongwei Xi
POPL
2007
ACM
14 years 7 months ago
Context logic as modal logic: completeness and parametric inexpressivity
Separation Logic, Ambient Logic and Context Logic are based on a similar style of reasoning about structured data. They each consist of a structural (separating) composition for r...
Cristiano Calcagno, Philippa Gardner, Uri Zarfaty