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CORR
2008
Springer
179views Education» more  CORR 2008»
15 years 4 months ago
Induction and Co-induction in Sequent Calculus
Abstract. Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent...
Alwen Tiu, Alberto Momigliano
IANDC
2010
141views more  IANDC 2010»
15 years 2 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
TLCA
2009
Springer
15 years 10 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
RTA
2010
Springer
15 years 8 months ago
A Proof Calculus Which Reduces Syntactic Bureaucracy
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logicindependent ...
Alessio Guglielmi, Tom Gundersen, Michel Parigot
LICS
2007
IEEE
15 years 10 months ago
Separating DAG-Like and Tree-Like Proof Systems
We show that tree-like (Gentzen’s calculus) PK where all cut formulas have depth at most a constant d does not simulate cut-free PK. Generally, we exhibit a family of sequents t...
Phuong Nguyen