Integrating constraints and concurrent objects in musical applications: A calculus and its visual language

Camilo Rueda, Gloria Alvarez, Luis O. Quesada, Gabriel Tamura, Frank Valencia, Juan Francisco Díaz, Gerard Assayag

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We propose PiCO, a calculus integrating concurrent objects and constraints, as a base for music composition tools. In contrast with calculi such as [5], [9] or TyCO [16], both constraints and objects are primitive notions in PiCO. In PiCO a base object model is extended with constraints by orthogonally adding the notion of constraint system found in the ρ-calculus [12]. Concurrent processes make use of a constraint store to synchronize communications either via the ask and tell operations of the constraint model or the standard message-passing mechanism of the object model. A message delegation mechanism built into the calculus allows encoding of general forms of inheritance. This paper includes encodings in PiCO of the concepts of class and sub-class. These allow us to represent complex partially defined objects such as musical structures in a compact way. We illustrate the transparent interaction of constraints and objects by a musical example involving harmonic and temporal relations. The relationship between Cordial, a visual language for music composition applications, and its underlying model PiCO is described.

Original languageEnglish
Pages (from-to)21-52
Number of pages32
JournalConstraints
Volume6
Issue number1
DOIs
StatePublished - Jan 2001

Keywords

  • Computer aided music composition
  • Concurrent constraint objects
  • Concurrent programming
  • Constraint programming
  • Formal calculi
  • Mobile processes
  • PiCO
  • TyCO
  • Visual language

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