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» Structural Cut Elimination: I. Intuitionistic and Classical ...
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CSR
2008
Springer
13 years 6 months ago
A Triple Correspondence in Canonical Calculi: Strong Cut-Elimination, Coherence, and Non-deterministic Semantics
An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of G...
Arnon Avron, Anna Zamansky
ESOP
2006
Springer
13 years 9 months ago
ILC: A Foundation for Automated Reasoning About Pointer Programs
This paper presents a new program logic designed for facilitating automated reasoning about pointer programs. The program logic is directly inspired by previous work by O'Hea...
Limin Jia, David Walker
JAR
2010
123views more  JAR 2010»
13 years 4 months ago
A Framework for Proof Systems
Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...
Vivek Nigam, Dale Miller
LPAR
2001
Springer
13 years 10 months ago
A Local System for Classical Logic
Abstract. The calculus of structures is a framework for specifying logical systems, which is similar to the one-sided sequent calculus but more general. We present a system of infe...
Kai Brünnler, Alwen Fernanto Tiu
TLCA
2005
Springer
13 years 11 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger