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» Inductive Invariants for Nested Recursion
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TLCA
2007
Springer
13 years 11 months 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
SCP
2011
255views Communications» more  SCP 2011»
13 years 6 days ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes
TPHOL
2005
IEEE
13 years 11 months ago
Alpha-Structural Recursion and Induction
The nominal approach to abstract syntax deals with the issues of bound names and α-equivalence by considering constructions and properties that are invariant with respect to permu...
Andrew M. Pitts
TLCA
2005
Springer
13 years 10 months ago
The Elimination of Nesting in SPCF
We use a fully abstract denotational model to show that nested function calls and recursive definitions can be eliminated from SPCF (a typed functional language with simple non-lo...
James Laird
ASIAN
2003
Springer
109views Algorithms» more  ASIAN 2003»
13 years 10 months ago
Deaccumulation - Improving Provability
Several induction theorem provers were developed to verify functional programs mechanically. Unfortunately, automated verification usually fails for functions with accumulating ar...
Jürgen Giesl, Armin Kühnemann, Janis Voi...