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PLPV
2009
ACM
14 years 2 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
CORR
2010
Springer
84views Education» more  CORR 2010»
13 years 3 months ago
Termination Casts: A Flexible Approach to Termination with General Recursion
This paper proposes a type-and-effect system called Teq, which distinguishes terminating terms and total functions from possibly diverging terms and partial functions, for a lambd...
Aaron Stump, Vilhelm Sjöberg, Stephanie Weiri...
SCP
2011
255views Communications» more  SCP 2011»
13 years 21 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
ELP
1991
13 years 9 months ago
Natural Semantics and Some of Its Meta-Theory in Elf
Operational semantics provide a simple, high-level and elegant means of specifying interpreters for programming languages. In natural semantics, a form of operational semantics, p...
Spiro Michaylov, Frank Pfenning
LPAR
2010
Springer
13 years 4 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini