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» Separation Logic Adapted for Proofs by Rewriting
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CONCUR
2004
Springer
13 years 10 months ago
A Semantics for Concurrent Separation Logic
We present a trace semantics for a language of parallel programs which share access to mutable data. We introduce a resource-sensitive logic for partial correctness, based on a re...
Stephen D. Brookes
MSCS
2007
117views more  MSCS 2007»
13 years 4 months ago
Proofs, denotational semantics and observational equivalences in Multiplicative Linear Logic
We study full completeness and syntactical separability of MLL proof nets with the mix rule. The general method we use consists first in addressing the two questions in the less ...
Michele Pagani
CSL
2007
Springer
13 years 11 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
TLCA
1999
Springer
13 years 9 months ago
Strong Normalisation of Cut-Elimination in Classical Logic
In this paper we present a strongly normalising cut-elimination procedure for classical logic. This procedure adapts Gentzen’s standard cut-reductions, but is less restrictive th...
Christian Urban, Gavin M. Bierman
CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 2 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...