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A New Categorical Foundation of Attribute Grammar

Research Project

Project/Area Number 20700012
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionKyoto University

Principal Investigator

KATSUMATA Shinya  Kyoto University, 数理解析研究所, 助教 (30378963)

Co-Investigator(Renkei-kenkyūsha) HASEGAWA Masahito  京都大学, 数理解析研究所, 教授 (50293973)
Research Collaborator HOSHINO Naohiko  京都大学, 数理解析研究所, 博士後期過程在学
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsプログラム変換 / 圏論 / 属性文法 / Int構成 / トレース付きモノイダル圏
Research Abstract

Attribute grammars are a mechanism to assign a computation with bidirectional information flow to a tree. In this research, we give a new formulation of attribute grammars in traced symmetric monoidal categories, which provide a general model of cyclic computation. We show that our formulation subsumes the domain-theoretic attribute grammar by Chirica and Martin and the relational attribute grammar by Courcelle and Deransart. We also give a generalization of the descriptional composition by Ganzinger and Giegerich, which is a method for composing two syntactic attribute grammars, upon the categorical formulation of attribute grammars.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (18 results)

All 2010 2009 2008 Other

All Journal Article (7 results) (of which Peer Reviewed: 5 results) Presentation (9 results) Remarks (2 results)

  • [Journal Article] Categorical Descriptional Composition.2010

    • Author(s)
      Shin-ya Katsumata.
    • Journal Title

      In Proc.APLAS 2010(Springer) LNCS 6461

      Pages: 222-238

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A note on the biadjunction between 2-categories of traced monoidal categories and tortile monoidal categories.2010

    • Author(s)
      Masahito Hasegawa, Shin-ya Katsumata.
    • Journal Title

      In Mathematical Proceedings of Cambridge Philosophical Society volume 148

      Pages: 107-109

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Categorical Descriptional Composition2010

    • Author(s)
      Shin-ya Katsumata
    • Journal Title

      Lecture Notes in Computer Science (Proc.Asian Symposium on Programming Languages and Systems APLAS 2010)

      Volume: 6461 Pages: 222-238

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on the biadjunction between 2-categories of traced monoidal cate gories and tortile monoidal categories2010

    • Author(s)
      Masahito Hasegawa, Shin-ya Katsumata
    • Journal Title

      Mathematical Proceedings of Cambridge Philosophical Society 148

      Pages: 107-109

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Int Construction and Semibiproducts.2009

    • Author(s)
      Naohiko Hoshino, Shin-ya Katsumata.
    • Journal Title

      RIMS preprint 1676, Kyoto University.

    • Related Report
      2010 Final Research Report
  • [Journal Article] Int Construction and Semibiproducts2009

    • Author(s)
      Naohiko Hoshino, Shin-ya Katsumata
    • Journal Title

      RIMS preprint 1676

      Pages: 1-25

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Attribute Grammars and Categorical Semantics.2008

    • Author(s)
      Shin-ya Katsumata.
    • Journal Title

      In Proc.ICALP 2008, Part II(Springer) LNCS 5126

      Pages: 271-282

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] Categorical Descriptional Composition.2010

    • Author(s)
      Shin-ya Katsumata
    • Organizer
      APLAS 2010
    • Place of Presentation
      Hengshan Hotel, Shanghai
    • Year and Date
      2010-11-30
    • Related Report
      2010 Final Research Report
  • [Presentation] Categorical Descriptional Composition2010

    • Author(s)
      Shin-ya Katsumata
    • Organizer
      Asian Symposium on Programming Languages and Systems
    • Place of Presentation
      上海衡山ホテル(中国)
    • Year and Date
      2010-11-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Attribute Grammars and Categorical Semantics.2009

    • Author(s)
      Shin-ya Katsumata
    • Organizer
      Workshop on Geometry of Interaction, Traced Monoidal Categories and Implicit Complexity
    • Place of Presentation
      Kyoto seminar house
    • Year and Date
      2009-08-25
    • Related Report
      2010 Final Research Report
  • [Presentation] Attribute Grammars and Categorical Semantics2009

    • Author(s)
      勝股審也
    • Organizer
      Camp-style Workshop on Geometry of Interaction, Traced Monoidal Categories and Implicit Complexity
    • Place of Presentation
      関西セミナーハウス
    • Year and Date
      2009-08-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] A note on the biadjunction between 2-categories of traced monoidal categories and tortile monoidal categories.2009

    • Author(s)
      Shin-ya Katsumata
    • Organizer
      Workshop on Computer Science and Category Theory
    • Place of Presentation
      Chiba university
    • Year and Date
      2009-03-16
    • Related Report
      2010 Final Research Report
  • [Presentation] Attribute Grammars and Categorical Semantics.2008

    • Author(s)
      Shin-ya Katsumata
    • Organizer
      In ICALP 2008
    • Place of Presentation
      Reykjabik university, Iceland
    • Year and Date
      2008-07-10
    • Related Report
      2010 Final Research Report
  • [Presentation] Attribute Grammars and Categorical Semantics2008

    • Author(s)
      勝股審也
    • Organizer
      International Colloquium for Automata, Languages and Programming
    • Place of Presentation
      レイキャビク大学アイスランド
    • Year and Date
      2008-07-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Attribute Grammars and Categorical Semantics.2008

    • Author(s)
      Shin-ya Katsumata
    • Organizer
      Workshop on Mathematics for Pressing Problems in Computer Science
    • Place of Presentation
      RIMS, Kyoto university
    • Year and Date
      2008-07-01
    • Related Report
      2010 Final Research Report
  • [Presentation] Attribute Grammars and Traced Symmetric Monoidal Categories.2008

    • Author(s)
      Shin-ya Katsumata
    • Organizer
      Workshop on Computer Science and Category Theory,
    • Place of Presentation
      Tohoku university
    • Year and Date
      2008-03-10
    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://www.kurims.kyoto-u.ac.jp/~sinya/paper

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.kurims.kyoto-u.ac.jp/~sinya/paper

    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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