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PADL
2004
Springer
14 years 29 days ago
Implementing Cut Elimination: A Case Study of Simulating Dependent Types in Haskell
Gentzen’s Hauptsatz – cut elimination theorem – in sequent calculi reveals a fundamental property on logic connectives in various logics such as classical logic and intuition...
Chiyan Chen, Dengping Zhu, Hongwei Xi
IGPL
2010
156views more  IGPL 2010»
13 years 6 months ago
Fusion of sequent modal logic systems labelled with truth values
Fusion is a well-known form of combining normal modal logics endowed with a Hilbert calculi and a Kripke semantics. Herein, fusion is studied over logic systems using sequent calc...
João Rasga, Karina Roggia, Cristina Sernada...
WOLLIC
2007
Springer
14 years 1 months ago
Computational Interpretations of Classical Linear Logic
We survey several computational interpretations of classical linear logic based on two-player one-move games. The moves of the games are higherorder functionals in the language of ...
Paulo Oliva
LICS
1995
IEEE
13 years 11 months ago
Decision Problems for Second-Order Linear Logic
The decision problem is studied for fragments of second-order linear logic without modalities. It is shown that the structural rules of contraction and weakening may be simulated ...
Patrick Lincoln, Andre Scedrov, Natarajan Shankar
CADE
2008
Springer
13 years 9 months ago
Focusing in Linear Meta-logic
It is well known how to use an intuitionistic meta-logic to specify natural deduction systems. It is also possible to use linear logic as a meta-logic for the specification of a va...
Vivek Nigam, Dale Miller