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» Linearizing Intuitionistic Implication
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IANDC
2010
91views more  IANDC 2010»
13 years 6 months ago
Functional interpretations of linear and intuitionistic logic
This article shows how different functional interpretations can be combined into what we term hybrid functional interpretations. These hybrid interpretations work on the setting o...
Paulo Oliva
CORR
2004
Springer
97views Education» more  CORR 2004»
13 years 7 months ago
Quantum typing
The objective of this paper is to develop a functional programming language for quantum computers. We develop a lambda-calculus for the QRAM model, following the work of P. Seling...
Benoît Valiron
FROCOS
2000
Springer
13 years 11 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
LOGCOM
2010
136views more  LOGCOM 2010»
13 years 6 months ago
Combining Derivations and Refutations for Cut-free Completeness in Bi-intuitionistic Logic
Bi-intuitionistic logic is the union of intuitionistic and dual intuitionistic logic, and was introduced by Rauszer as a Hilbert calculus with algebraic and Kripke semantics. But ...
Rajeev Goré, Linda Postniece
ICRA
2007
IEEE
124views Robotics» more  ICRA 2007»
14 years 1 months ago
Using Constrained Intuitionistic Linear Logic for Hybrid Robotic Planning Problems
— Synthesis of robot behaviors towards nontrivial goals often requires reasoning about both discrete and continuous aspects of the underlying domain. Existing approaches in build...
Uluc Saranli, Frank Pfenning