Memorias de investigación
Communications at congresses:
Universal algebra over lambda-terms and nominal terms: the connection in logic between nominal techniques and higher-order variables
Year:2009

Research Areas
  • Programming language

Information
Abstract
This paper develops the correspondence between equality reasoning with axioms using ¿-terms syntax, and reasoning using nominal terms syntax. Both syntaxes involve name-abstraction: ¿-terms represent functional abstraction; nominal terms represent atoms-abstraction in nominal sets. It is not evident how to relate the two syntaxes because their intended denotations are so different. We use universal algebra, the logic of equational reasoning, a logical foundation based on an equality judgement form which is spartan but which is suf¿ciently expressive to encode mathematics in theory and practice. We investigate how syntax, algebraic theories, and derivability relate across ¿-theories (algebra over ¿-terms) and nominal algebra theories.
International
Si
Congress
960
Place
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ISBN/ISSN
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Participants
  • Autor: Dominic P. Mulligan Heriot-Watt University, Edinburgh, UK
  • Autor: Murdoch Gabbay . UPM

Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: BABEL: Desarrollo de Software Fiable y de Alta Calidad a partir de Tecnología Declarativa
  • Departamento: Lenguajes y Sistemas Informáticos e Ingeniería de Software