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» The logic of proofs, semantically
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CSR
2006
Springer
13 years 8 months ago
Logic of Proofs for Bounded Arithmetic
The logic of proofs is known to be complete for the semantics of proofs in PA. In this paper we present a refinement of this theorem, we will show that we can assure that all the ...
Evan Goris
VMCAI
2012
Springer
12 years 8 days ago
Teaching Semantics with a Proof Assistant: No More LSD Trip Proofs
We describe a course on the semantics of a simple imperative programming language and on applications to compilers, type systems, static analyses and Hoare logic. The course is ent...
Tobias Nipkow
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
CSL
2008
Springer
13 years 6 months ago
A Characterization of Hypercoherent Semantic Correctness in Multiplicative Additive Linear Logic
We give a graph theoretical criterion on multiplicative additive linear logic (MALL) cut-free proof structures that exactly characterizes those whose interpretation is a hypercliqu...
Paolo Tranquilli
14
Voted
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