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» Inductive types in the Calculus of Algebraic Constructions
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TCS
2008
13 years 6 months ago
Polyhedra genus theorem and Euler formula: A hypermap-formalized intuitionistic proof
This article presents formalized intuitionistic proofs for the polyhedra genus theorem, the Euler formula and a sufficient condition of planarity. They are based on a hypermap mod...
Jean-François Dufourd
SAS
1993
Springer
104views Formal Methods» more  SAS 1993»
13 years 10 months ago
Strictness Properties of Lazy Algebraic Datatypes
A new construction of a finite set of strictness properties for any lazy algebraic datatype is presented. The construction is based on the categorical view of the solutions to the...
P. N. Benton
ACL
2001
13 years 7 months ago
An Algebra for Semantic Construction in Constraint-based Grammars
We develop a framework for formalizing semantic construction within grammars expressed in typed feature structure logics, including HPSG. The approach provides an alternative to t...
Ann A. Copestake, Alex Lascarides, Dan Flickinger
TLCA
2007
Springer
14 years 4 days ago
Initial Algebra Semantics Is Enough!
Initial algebra semantics is a cornerstone of the theory of modern functional programming languages. For each inductive data type, it provides a fold combinator encapsulating struc...
Patricia Johann, Neil Ghani
LICS
2008
IEEE
14 years 13 days 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