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LICS
2010
IEEE
12 years 4 days ago
An Intuitionistic Logic that Proves Markov's Principle
—We design an intuitionistic predicate logic that supports a limited amount of classical reasoning, just enough to prove a variant of Markov’s principle suited for predicate lo...
Hugo Herbelin
IANDC
2010
91views more  IANDC 2010»
12 years 7 days 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
BSL
2004
100views more  BSL 2004»
12 years 1 months ago
Forcing in proof theory
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...
Jeremy Avigad
APAL
2006
91views more  APAL 2006»
12 years 1 months ago
Computing interpolants in implicational logics
I present a new syntactical method for proving the Interpolation Theorem for the implicational fragment of intuitionistic logic and its substructural subsystems. This method, like...
Makoto Kanazawa
CSL
2010
Springer
12 years 2 months ago
Classical and Intuitionistic Subexponential Logics Are Equally Expressive
It is standard to regard the intuitionistic restriction of a classical logic as increasing the expressivity of the logic because the classical logic can be adequately represented i...
Kaustuv Chaudhuri
CIE
2006
Springer
12 years 5 months ago
LJQ: A Strongly Focused Calculus for Intuitionistic Logic
LJQ is a focused sequent calculus for intuitionistic logic, with
Roy Dyckhoff, Stéphane Lengrand
TABLEAUX
1997
Springer
12 years 5 months ago
ileanTAP: An Intuitionistic Theorem Prover
We present a Prolog program that implements a sound and complete theorem prover for first-order intuitionistic logic. It is based on free-variable semantic tableaux extended by an...
Jens Otten
RTA
1998
Springer
12 years 5 months ago
The Decidability of Simultaneous Rigid E-Unification with One Variable
We show that simultaneous rigid E-unification, or SREU for short, is decidable and in fact EXPTIME-complete in the case of one variable. This result implies that the fragment of i...
Anatoli Degtyarev, Yuri Gurevich, Paliath Narendra...
TABLEAUX
2005
Springer
12 years 7 months ago
The ILTP Library: Benchmarking Automated Theorem Provers for Intuitionistic Logic
The Intuitionistic Logic Theorem Proving (ILTP) Library provides a platfom for testing and benchmarking theorem provers for first-order intuitionistic logic. It includes a collect...
Thomas Raths, Jens Otten, Christoph Kreitz
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