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» Classical Logic with Mendler Induction - A Dual Calculus and...
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LPAR
2005
Springer
13 years 9 months ago
Strong Normalization of the Dual Classical Sequent Calculus
We investigate some syntactic properties of Wadler’s dual calculus, a term calculus which corresponds to classical sequent logic in the same way that Parigot’s λµ calculus co...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...
AML
2002
112views more  AML 2002»
13 years 4 months ago
Strong normalization of a symmetric lambda calculus for second-order classical logic
Abstract We extend Barbanera and Berardi's symmetric lambda calculus [2] to second order classical propositional logic and prove its strong normalization.
Yoriyuki Yamagata
LPAR
2010
Springer
13 years 2 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini
CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 4 months ago
Classical BI: Its Semantics and Proof Theory
We present Classical BI (CBI), a new addition to the family of bunched logics which originates in O'Hearn and Pym's logic of bunched implications BI. CBI differs from exi...
James Brotherston, Cristiano Calcagno
FOSSACS
2003
Springer
13 years 9 months ago
Generalized Iteration and Coiteration for Higher-Order Nested Datatypes
Abstract. We solve the problem of extending Bird and Paterson’s generalized folds for nested datatypes and its dual to inductive and coinductive constructors of arbitrarily high ...
Andreas Abel, Ralph Matthes, Tarmo Uustalu