### Abstract

Array based data parallel programming can be generalized in two ways to make it an appropriate paradigm for parallel processing of general recursively defined data. The first is the introduction of a parallel evaluation mechanism for dynamically allocated recursively defined data. It achieves the effect of applying the same function to all the subterms of a given datum in parallel. The second is a new notion of recursion, which we call parallel recursion, for parallel evaluation of recursively defined data. In contrast with ordinary recursion, which only uses the final results of the recursive calls of its immediate subterms, the new recursion repeatedly transforms a recursive datum represented by a system of equations to another recursive datum by applying the same function to each of the equation simultaneously, until the final result is obtained. This mechanism exploits more parallelism and achieves significant speedup compared to the conventional parallel evaluation of recursive functions. Based on these observations, we propose a typed lambda calculus for data parallel programming and give an operational semantics that integrates the parallel evaluation mechanism and the new form of recursion in the semantic core of a typed lambda calculus. We also describe an implementation method for massively parallel multicomputers, which makes it possible to execute parallel recursion in the expected performance.

Original language | English |
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Title of host publication | Theory and Practice of Parallel Programming - International Workshop, TPPP 1994, Proceedings |

Editors | Akinori Yonezawa, Takayasu Ito |

Publisher | Springer-Verlag |

Pages | 413-432 |

Number of pages | 20 |

ISBN (Print) | 3540591729, 9783540591726 |

DOIs | |

Publication status | Published - 1995 Jan 1 |

Externally published | Yes |

Event | 1st International Workshop on Theory and Practice of Parallel Programming, TPPP 1994 - Sendai, Japan Duration: 1994 Nov 7 → 1994 Nov 9 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 907 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 1st International Workshop on Theory and Practice of Parallel Programming, TPPP 1994 |
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Country | Japan |

City | Sendai |

Period | 94/11/7 → 94/11/9 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Theory and Practice of Parallel Programming - International Workshop, TPPP 1994, Proceedings*(pp. 413-432). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 907). Springer-Verlag. https://doi.org/10.1007/BFb0026582