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» Free theorems for functional logic programs
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ENTCS
2007
107views more  ENTCS 2007»
13 years 7 months ago
Event Domains, Stable Functions and Proof-Nets
We pursue the program of exposing the intrinsic mathematical structure of the “space of proofs” of a logical system [AJ94b]. We study the case of Multiplicative-Additive Linea...
Samson Abramsky
ICFP
2010
ACM
13 years 8 months ago
Parametricity and dependent types
' abstraction theorem shows how a typing judgement in System F can be translated into a relational statement (in second order predicate logic) about inhabitants of the type. ...
Jean-Philippe Bernardy, Patrik Jansson, Ross Pater...
FOIKS
2006
Springer
13 years 10 months ago
Reasoning Support for Expressive Ontology Languages Using a Theorem Prover
It is claimed in [45] that first-order theorem provers are not efficient for reasoning with ontologies based on description logics compared to specialised description logic reasone...
Ian Horrocks, Andrei Voronkov
ESOP
2009
Springer
13 years 11 months ago
Resolving Inductive Definitions with Binders in Higher-Order Typed Functional Programming
This paper studies inductive definitions involving binders, in which aliasing between free and bound names is permitted. Such aliasing occurs in informal specifications of operatio...
Matthew R. Lakin, Andrew M. Pitts
LICS
2005
IEEE
14 years 20 days ago
A Functional Quantum Programming Language
We introduce the language QML, a functional language for quantum computations on finite types. Its design is guided by its categorical semantics: QML programs are interpreted by ...
Thorsten Altenkirch, Jonathan Grattage