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» The logic of proofs, semantically
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94
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MLQ
2010
99views more  MLQ 2010»
14 years 11 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva
92
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CORR
2002
Springer
67views Education» more  CORR 2002»
15 years 15 days ago
The prospects for mathematical logic in the twenty-first century
Abstract. The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory a...
Samuel R. Buss, Alexander S. Kechris, Anand Pillay...
98
Voted
CADE
2010
Springer
14 years 10 months ago
Terminating Tableaux for Hybrid Logic with Eventualities
x-free and employs a novel clausal form that abstracts away from propositional reasoning. It comes with an elegant correctness proof. We discuss some optimizations for decision pro...
Mark Kaminski, Gert Smolka
BIRTHDAY
2010
Springer
15 years 26 days ago
Programming Inductive Proofs - A New Approach Based on Contextual Types
In this paper, we present an overview to programming with proofs in the reasoning framework, Beluga. Beluga supports the specification of formal systems given by axioms and inferen...
Brigitte Pientka
FUIN
2007
236views more  FUIN 2007»
15 years 19 days ago
Predicate Introduction for Logics with Fixpoint Semantics. Part II: Autoepistemic Logic
Joost Vennekens, Johan Wittocx, Maarten Marië...