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» Automated Reasoning in Kleene Algebra
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LICS
2000
IEEE
15 years 4 months ago
Complete Axioms for Categorical Fixed-Point Operators
We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, embodying the equational properties of iteration theories. We p...
Alex K. Simpson, Gordon D. Plotkin
LICS
1999
IEEE
15 years 4 months ago
Abstract Syntax and Variable Binding
Syntax and Variable Binding d Abstract) Marcelo Fiore COGS Univ. of Sussex Gordon Plotkin LFCS Univ. of Edinburgh Daniele Turi LFCS Univ. of Edinburgh op a theory of abstract synt...
Marcelo P. Fiore, Gordon D. Plotkin, Daniele Turi
LICS
1994
IEEE
15 years 3 months ago
Subtyping and Parametricity
In this paper we study the interaction of subtyping and parametricity. We describe a logic for a programming language with parametric polymorphism and subtyping. The logic support...
Gordon D. Plotkin, Martín Abadi, Luca Carde...
LPAR
2010
Springer
14 years 9 months ago
Revisiting Matrix Interpretations for Polynomial Derivational Complexity of Term Rewriting
Matrix interpretations can be used to bound the derivational complexity of term rewrite systems. In particular, triangular matrix interpretations over the natural numbers are known...
Friedrich Neurauter, Harald Zankl, Aart Middeldorp
LICS
2008
IEEE
15 years 6 months ago
A Logic for Algebraic Effects
We present a logic for algebraic effects, based on the algebraic representation of computational effects by operations and equations. We begin with the a-calculus, a minimal calcu...
Gordon D. Plotkin, Matija Pretnar