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» Computational Lambda-Calculus and Monads
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DLT
2009
14 years 7 months ago
Subshifts, Languages and Logic
We study the Monadic Second Order (MSO) Hierarchy over infinite pictures, that is tilings. We give a characterization of existential MSO in terms of tilings and projections of tili...
Emmanuel Jeandel, Guillaume Theyssier
ENTCS
2007
132views more  ENTCS 2007»
14 years 9 months ago
The Category Theoretic Understanding of Universal Algebra: Lawvere Theories and Monads
Lawvere theories and monads have been the two main category theoretic formulations of universal algebra, Lawvere theories arising in 1963 and the connection with monads being esta...
Martin Hyland, John Power
80
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LICS
2003
IEEE
15 years 2 months ago
Spectra of Monadic Second-Order Formulas with One Unary Function
We establish the eventual periodicity of the spectrum of any monadic second-order formula where (i) all relation symbols, except equality, are unary, and (ii) there is only one fu...
Yuri Gurevich, Saharon Shelah
CC
2003
Springer
141views System Software» more  CC 2003»
15 years 2 months ago
A New One-Pass Transformation into Monadic Normal Form
We present a translation from the call-by-value λ-calculus to monadic normal forms that includes short-cut boolean evaluation. The translation is higher-order, operates in one pas...
Olivier Danvy