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» Proof Systems for Effectively Propositional Logic
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JSYML
2006
85views more  JSYML 2006»
14 years 9 months ago
An alternative semantics for quantified relevant logic
The quantified relevant logic RQ is given a new semantics in which a formula xA is true when there is some true proposition that implies all x-instantiations of A. Formulae are mo...
Robert Goldblatt, Edwin D. Mares
AML
2006
106views more  AML 2006»
14 years 9 months ago
Upper bounds on complexity of Frege proofs with limited use of certain schemata
The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Pavel Naumov
ICFP
2010
ACM
14 years 10 months ago
VeriML: typed computation of logical terms inside a language with effects
Modern proof assistants such as Coq and Isabelle provide high degrees of expressiveness and assurance because they support formal reasoning in higher-order logic and supply explic...
Antonis Stampoulis, Zhong Shao
ICFP
2012
ACM
12 years 12 months ago
Propositions as sessions
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...
Philip Wadler
RTA
2010
Springer
15 years 1 months ago
A Proof Calculus Which Reduces Syntactic Bureaucracy
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logicindependent ...
Alessio Guglielmi, Tom Gundersen, Michel Parigot