proofstypes.bib
-
Andreas Abel
Strong Normalization and Equi-(Co)Inductive Types
TLCA,
$fields.Year,
<$fields.Pages
-
Arnon Avron
Simple consequence relations
Inf. Comput.
v.92,
n.1,
1991,
105-140
-
Arnon Avron
Gentzen-type systems, resolution and tableaux
J. Autom. Reasoning
v.10,
n.2,
1993,
265-281
-
Steve Awodey
Category theory
Clarendon Press,
2006
-
John Bell and Mosh\'{e} Machover
A course in mathematical logic
North-Holland,
1977
-
Karl Crary
Logical relations and a case study in equivalence checking
2005
-
Karl Crary and Robert Harper
Syntactic logical relations for polymorphic and recursive types
Electr. Notes Theor. Comput. Sci.
v.172,
n.,
2007,
259-299
-
Roy L Crole
Categories for types
Cambridge University Press,
1993
-
Jean-Yves Girard
Proof theory and logical complexity
Bibliopolis,
1987
-
Jean-Yves Girard, Yves Lafont, and Paul Taylor
Proofs and types
-
Jean-Yves Girard, Yves Lafont, and Paul Taylor
Proofs and types
Cambridge University Press,
1989
-
Robert Harper and Frank Pfenning
On equivalence and canonical forms in the lf type theory
ACM Trans. Comput. Log.
v.6,
n.1,
2005,
61-101
-
Robert Harper, Furio Honsell, and Gordon D. Plotkin
A framework for defining logics
J. ACM
v.40,
n.1,
1993,
143-184
-
Robert Harper
Practical foundations for programming languages
2008
-
Gérard P. Huet
Confluent reductions: abstract properties and applications to term rewriting systems: abstract properties and applications to term rewriting systems
J. ACM
v.27,
n.4,
1980,
797-821
-
Bart Jacobs
Categorical logic and type theory
Elsevier Science,
1999
-
Andrew Kennedy
Relational Parametricity and Units of Measure
POPL,
$fields.Year,
<$fields.Pages
-
Stephen Cole Kleene
Introduction to metamathematics
North-Holland Pub. Co.,
1952
-
Saunders Mac Lane
Categories for the working mathematician
Springer-Verlag,
1971
-
Harry G. Mairson
Outline of a proof theory of parametricity
Proc. 5th International Symposium on Functional Programming Languages and Computer Architecture,
$fields.Year,
<$fields.Pages
-
Per {Martin-L\"{o}f}
Intuitionistic type theory
Bibliopolis,
1984
-
Per {Martin-L\"{o}f}
On the meanings of the logical constants and the justifications of the logical laws
-
Per {Martin-L\"{o}f}
On the meanings of the logical constants and the justifications of the logical laws
Nordic Journal of Philosophical Logic
v.1,
n.1,
1996,
11--60
-
N. P. Mendler
Inductive types and type constraints in the second-order lambda calculus
Ann. Pure Appl. Logic
v.51,
n.1-2,
1991,
159-172
-
Sara Negri and Jan von Plato
Structural proof theory
Cambridge University Press,
2008
-
Anil Nerode and Richard A. Shore
Logic for applications
Springer,
1997
-
Jaap van Oosten
Realizability: an introduction to its categorical side
ELSEVIER SCIENCE BV,
2008
-
Andrew M. Pitts
Typed operational reasoning
2005
-
Andrew M. Pitts
Techniques for Contextual Equivalence in Higher-Order, Typed Languages
ESOP,
$fields.Year,
<$fields.Pages
-
Andrew M. Pitts
Operational Semantics and Program Equivalence
APPSEM,
$fields.Year,
<$fields.Pages
-
John C. Reynolds and Gordon D. Plotkin
On functors expressible in the polymorphic typed lambda calculus
Inf. Comput.
v.105,
n.1,
1993,
1-29
-
Sören Stenlund
Combinators, lambda-terms and proof theory
D. Reidel,
1972
-
Christopher A. Stone and Robert Harper
Extensional equivalence and singleton types
ACM Trans. Comput. Log.
v.7,
n.4,
2006,
676-722
-
A. S Troelstra and Helmut Schwichtenberg
Basic proof theory
Cambridge University Press,
2000
-
A. S Troelstra
Metamathematical investigation of intuitionistic arithmetic and analysis
Springer,
1973
-
Tarmo Uustalu and Varmo Vene
Mendler-style inductive types, categorically
Nord. J. Comput.
v.6,
n.3,
1999,
343-
-
Philip Wadler
Theorems for free
4'th International Conference on Functional Programming and Computer Architecture,
$fields.Year,
<$fields.Pages
-
Philip Wadler
The girard-reynolds isomorphism (second edition)
Theoretical Computer Science
v.375,
n.1-3,
2007,
201-226
-
Advanced topics in types and programming languages
MIT Press,
2005