Structural Logical Relations

Carsten Schürmann, Jeffrey Sarnat

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Tait's method (a.k.a. proof by logical relations) is a powerful proof technique frequently used for showing foundational properties of languages based on typed lambda-calculi. Historically, these proofs have been extremely difficult to formalize in proof assistants with weak meta-logics, such as Twelf, and yet they are often straightforward in proof assistants with stronger meta-logics. In this paper, we propose structural logical relations as a technique for conducting these proofs in systems with limited meta-logical strength by explicitly representing and reasoning about an auxiliary logic. In support of our claims, we give a Twelf-checked proof of the completeness of an algorithm for checking equality of simply typed lambda-terms.
TidsskriftLogic in Computer Science
Sider (fra-til)69-82
StatusUdgivet - 2008
Begivenhed23rd Annual IEEE Symposium on Logic in Computer Science (LICS 2008) - Pittsburgh, Pennsylvania, USA
Varighed: 24 jun. 200827 jun. 2008
Konferencens nummer: 23


Konference23rd Annual IEEE Symposium on Logic in Computer Science (LICS 2008)
ByPittsburgh, Pennsylvania