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  1. Proceedings of the 2015 ACM SIGPLAN Symposium on Haskell (Haskell '15)
  2. Formally proving a compiler transformation safe
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Improving Haskell types with SMT
Reasoning with the HERMIT: tool support for equational reasoning on GHC core programs
Bridging the GUI gap with reactive values and relations
Variations on variants
Freer monads, more extensible effects
Injective type families for Haskell
Déjà Fu: a concurrency testing library for Haskell
Practical probabilistic programming with monads
Guilt free ivory
A typechecker plugin for units of measure: domain-specific constraint solving in GHC Haskell
Formally proving a compiler transformation safe
The remote monad design pattern
Modular reifiable matching: a list-of-functors approach to two-level types
Functional pearl: getting a quick fix on comonads
Type families with class, type classes with family
Improving implicit parallelism
Embedding a full linear Lambda calculus in Haskell
Type-safe runtime code generation: accelerate to LLVM

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Formally proving a compiler transformation safe

Content Provider ACM Digital Library
Author Breitner, Joachim
Abstract We prove that the Call Arity analysis and transformation, as implemented in the Haskell compiler GHC, is safe, i.e. does not impede the performance of the program. We formalized syntax, semantics, the analysis and the transformation in the interactive theorem prover Isabelle to obtain a machine-checked proof and hence a level of rigor rarely obtained for compiler optimization safety theorems. The proof is modular and introduces trace trees as a suitable abstraction in abstract cardinality analyses. We discuss the breadth of the formalization gap. .
Starting Page 35
Ending Page 46
Page Count 12
File Format PDF
ISBN 9781450338080
DOI 10.1145/2804302.2804312
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2015-08-30
Publisher Place New York
Access Restriction Subscribed
Subject Keyword Arity analysis Cardinality analysis Interactive theorem proving Functional programming
Content Type Text
Resource Type Article
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