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» Classical Logic with Partial Functions
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CADE
1994
Springer
15 years 1 months ago
A Mechanization of Strong Kleene Logic for Partial Functions
Even though it is not very often admitted, partial functions do play a significant role in many practical applications of deduction systems. Kleene has already given a semantic acc...
Manfred Kerber, Michael Kohlhase
MSCS
2007
125views more  MSCS 2007»
14 years 9 months ago
On categorical models of classical logic and the Geometry of Interaction
It is well-known that weakening and contraction cause na¨ıve categorical models of the classical sequent calculus to collapse to Boolean lattices. In previous work, summarized b...
Carsten Führmann, David J. Pym
FROCOS
2000
Springer
15 years 1 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
BIRTHDAY
2000
Springer
15 years 1 months ago
Bistructures, bidomains, and linear logic
Bistructures are a generalisation of event structures which allow a representation of spaces of functions at higher types in an orderextensional setting. The partial order of caus...
Pierre-Louis Curien, Gordon D. Plotkin, Glynn Wins...
ICFP
2010
ACM
14 years 9 months ago
Lolliproc: to concurrency from classical linear logic via curry-howard and control
While many type systems based on the intuitionistic fragment of linear logic have been proposed, applications in programming languages of the full power of linear logic--including...
Karl Mazurak, Steve Zdancewic