A Tactic Language for Hiproofs

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A Tactic Language for Hiproofs
Abstract. We introduce and study a tactic language, Hitac, for constructing hierarchical proofs, known as hiproofs. The idea of hiproofs is to superimpose a labelled hierarchical nesting on an ordinary proof tree. The labels and nesting are used to describe the organisation of the proof, typically relating to its construction process. This can be useful for understanding and navigating the proof. Tactics in our language construct hiproof structure together with an underlying proof tree. We provide both a big-step and a small-step operational semantics for evaluating tactic expressions. The big-step semantics captures the intended meaning, whereas the small-step semantics hints at possible implementations and provides a unified notion of proof state. We prove that these notions are equivalent and construct valid proofs.
David Aspinall, Ewen Denney, Christoph Lüth
Added 12 Oct 2010
Updated 12 Oct 2010
Type Conference
Year 2008
Where AISC
Authors David Aspinall, Ewen Denney, Christoph Lüth
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