### Abstract

Language | English |
---|---|

Pages | 273-289 |

Number of pages | 16 |

Journal | Electronic Notes in Theoretical Computer Science |

Volume | 286 |

DOIs | |

Status | Published - 24 Sep 2012 |

### Fingerprint

### Cite this

**A graphical foundation for schedules.** / McCusker, Guy; Power, John; Wingfield, Cai.

Research output: Contribution to journal › Article

*Electronic Notes in Theoretical Computer Science*, vol. 286, pp. 273-289. DOI: 10.1016/j.entcs.2012.08.018

}

TY - JOUR

T1 - A graphical foundation for schedules

AU - McCusker,Guy

AU - Power,John

AU - Wingfield,Cai

N1 - Proceedings of the 28th Conference on the Mathematical Foundations of Programming Semantics (MFPS XXVIII)

PY - 2012/9/24

Y1 - 2012/9/24

N2 - In 2007, Harmer, Hyland and Melli`s gave a formal mathematical foundation for game semantics using a notion they called a schedule. Their definition was combinatorial in nature, but researchers often draw pictures when describing schedules in practice. Moreover, a proof that the composition of schedules is associative involves cumbersome combinatorial detail, whereas in terms of pictures the proof is straightforward, reflecting the geometry of the plane. Here, we give a geometric formulation of schedule, prove that it is equivalent to Harmer et al.’s definition, and illustrate its value by giving a proof of associativity of composition.

AB - In 2007, Harmer, Hyland and Melli`s gave a formal mathematical foundation for game semantics using a notion they called a schedule. Their definition was combinatorial in nature, but researchers often draw pictures when describing schedules in practice. Moreover, a proof that the composition of schedules is associative involves cumbersome combinatorial detail, whereas in terms of pictures the proof is straightforward, reflecting the geometry of the plane. Here, we give a geometric formulation of schedule, prove that it is equivalent to Harmer et al.’s definition, and illustrate its value by giving a proof of associativity of composition.

UR - http://www.scopus.com/inward/record.url?scp=84856203520&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/j.entcs.2012.08.018

U2 - 10.1016/j.entcs.2012.08.018

DO - 10.1016/j.entcs.2012.08.018

M3 - Article

VL - 286

SP - 273

EP - 289

JO - Electronic Notes in Theoretical Computer Science

T2 - Electronic Notes in Theoretical Computer Science

JF - Electronic Notes in Theoretical Computer Science

SN - 1571-0661

ER -