### Abstract

In his seminal paper "Natural Semantics for Lazy Evaluation", John Launchbury proves his semantics correct with respect to a denotational semantics, and outlines an adequacy proof. We have formalized both semantics and machine-checked the correctness proof, clarifying some details. Furthermore, we provide a new and more direct adequacy proof that does not require intermediate operational semantics.

### License

BSD License

### History

March 16, 2015
  Booleans and if-then-else added to syntax and semantics, making this entry suitable to be used by the entry "Call_Arity".
May 24, 2014
  Added the proof of adequacy, as well as simplified and improved the existing proofs. Adjusted abstract accordingly.

### Topics

- Computer science/Programming languages/Lambda calculi
- Computer science/Semantics and reasoning

### Session Launchbury

- AList-Utils
- HOLCF-Join
- HOLCF-Join-Classes
- Env
- Pointwise
- HOLCF-Utils
- EvalHeap
- Nominal-Utils
- AList-Utils-Nominal
- Nominal-HOLCF
- Env-HOLCF
- HasESem
- Iterative
- Env-Nominal
- HeapSemantics
- Vars
- Terms
- AbstractDenotational
- Substitution
- Abstract-Denotational-Props
- Value
- Value-Nominal
- Denotational
- Launchbury
- CorrectnessOriginal
- Mono-Nat-Fun
- C
- CValue
- CValue-Nominal
- HOLCF-Meet
- C-Meet
- C-restr
- ResourcedDenotational
- CorrectnessResourced
- ResourcedAdequacy
- ValueSimilarity
- Denotational-Related
- Adequacy
- EverythingAdequacy

### Depends on

- Code Generation for Functions as Data
- Nominal 2

### Used by

- The Safety of Call Arity

### Auto-related entries

- A Formal Development of a Polychronous Polytimed Coordination Language
- Quantum Hoare Logic
- A shallow embedding of HyperCTL*

## Cite

×

Launchbury-AFP

    @article{Launchbury-AFP,
      author  = {Joachim Breitner},
      title   = {The Correctness of Launchbury's Natural Semantics for Lazy Evaluation},
      journal = {Archive of Formal Proofs},
      month   = {January},
      year    = {2013},
      note    = {\url{https://isa-afp.org/entries/Launchbury.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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