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  • We investigate the foundations of a theory of algebraic data types with variable binding inside classical universal algebra. In the first part, a category-theoretic study of monads over the nominal sets of Gabbay and Pitts leads us to introduce new notions of finitary based monads and uniform monads. In a second part we spell out these notions in the language of universal algebra, show how to recover the logics of Gabbay-Mathijssen and Clouston-Pitts, and apply classical results from universal algebra.
  • We investigate the foundations of a theory of algebraic data types with variable binding inside classical universal algebra. In the first part, a category-theoretic study of monads over the nominal sets of Gabbay and Pitts leads us to introduce new notions of finitary based monads and uniform monads. In a second part we spell out these notions in the language of universal algebra, show how to recover the logics of Gabbay-Mathijssen and Clouston-Pitts, and apply classical results from universal algebra. (en)
Title
  • Algebraic Theories over Nominal Sets
  • Algebraic Theories over Nominal Sets (en)
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  • Algebraic Theories over Nominal Sets
  • Algebraic Theories over Nominal Sets (en)
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  • RIV/68407700:21230/10:00179206!RIV11-MSM-21230___
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  • RIV/68407700:21230/10:00179206
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  • Algebraic theories (en)
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  • Velebil, Jiří
  • Kurz, A.
  • Petrisan, D.
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  • 21230
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