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» A Focused Sequent Calculus Framework for Proof Search in Pur...
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POPL
2009
ACM
14 years 5 months ago
Focusing on pattern matching
In this paper, we show how pattern matching can be seen to arise from a proof term assignment for the focused sequent calculus. This use of the Curry-Howard correspondence allows ...
Neelakantan R. Krishnaswami
CADE
2007
Springer
14 years 5 months ago
Bidirectional Decision Procedures for the Intuitionistic Propositional Modal Logic IS4
We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
Samuli Heilala, Brigitte Pientka
LICS
2008
IEEE
13 years 11 months ago
Focusing on Binding and Computation
Variable binding is a prevalent feature of the syntax and proof theory of many logical systems. In this paper, we define a programming language that provides intrinsic support fo...
Daniel R. Licata, Noam Zeilberger, Robert Harper
POPL
2003
ACM
14 years 5 months ago
Pure patterns type systems
We introduce a new framework of algebraic pure type systems in which we consider rewrite rules as lambda terms with patterns and rewrite rule application as abstraction applicatio...
Gilles Barthe, Horatiu Cirstea, Claude Kirchner, L...
CSL
2007
Springer
13 years 11 months ago
Incorporating Tables into Proofs
We consider the problem of automating and checking the use of previously proved lemmas in the proof of some main theorem. In particular, we call the collection of such previously p...
Dale Miller, Vivek Nigam