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POPL
2006
ACM
15 years 10 months ago
Small bisimulations for reasoning about higher-order imperative programs
We introduce a new notion of bisimulation for showing contextual equivalence of expressions in an untyped lambda-calculus with an explicit store, and in which all expressed values...
Vasileios Koutavas, Mitchell Wand
FOSSACS
2006
Springer
15 years 1 months ago
A Logic of Reachable Patterns in Linked Data-Structures
We define a new decidable logic for expressing and checking invariants of programs that manipulate dynamically-allocated objects via pointers and destructive pointer updates. The ...
Greta Yorsh, Alexander Moshe Rabinovich, Mooly Sag...
ICFP
2002
ACM
15 years 10 months ago
A compiled implementation of strong reduction
Motivated by applications to proof assistants based on dependent types, we develop and prove correct a strong reducer and equivalence checker for the -calculus with products, sums...
Benjamin Grégoire, Xavier Leroy
MICS
2010
81views more  MICS 2010»
14 years 8 months ago
Tactics for Hierarchical Proof
Abstract. There is something of a discontinuity at the heart of popular tactical theorem provers. Low-level, fully-checked mechanical proofs are large trees consisting of primitive...
David Aspinall, Ewen Denney, Christoph Lüth
PADL
2004
Springer
15 years 3 months ago
Implementing Cut Elimination: A Case Study of Simulating Dependent Types in Haskell
Gentzen’s Hauptsatz – cut elimination theorem – in sequent calculi reveals a fundamental property on logic connectives in various logics such as classical logic and intuition...
Chiyan Chen, Dengping Zhu, Hongwei Xi