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» A Sequent Calculus for Type Theory
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POPL
2009
ACM
14 years 9 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
IANDC
2010
141views more  IANDC 2010»
13 years 7 months ago
Regaining cut admissibility in deduction modulo using abstract completion
stract Completion Guillaume Burel a,c,∗ Claude Kirchner b,c aNancy-Universit´e, Universit´e Henri Poincar´e bINRIA Bordeaux - Sud-Ouest cLORIA, ´Equipe Pareo, Bˆatiment B, C...
Guillaume Burel, Claude Kirchner
RTA
2007
Springer
14 years 2 months ago
Simple Proofs of Characterizing Strong Normalization for Explicit Substitution Calculi
We present a method of lifting to explicit substitution calculi some characterizations of the strongly normalizing terms of λ-calculus by means of intersection type systems. The m...
Kentaro Kikuchi
BIRTHDAY
2007
Springer
14 years 2 months ago
Superdeduction at Work
Superdeduction is a systematic way to extend a deduction system like the sequent calculus by new deduction rules computed from the user theory. We show how this could be done in a ...
Paul Brauner, Clément Houtmann, Claude Kirc...
AIML
2004
13 years 9 months ago
A Systematic Proof Theory for Several Modal Logics
The family of normal propositional modal logic systems are given a highly systematic organisation by their model theory. This model theory is generally given using Kripkean frame s...
Charles Stewart, Phiniki Stouppa