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MSCS
2000
126views more  MSCS 2000»
13 years 9 months ago
Sequent combinators: a Hilbert system for the lambda calculus
This paper introduces a Hilbert system for lambda calculus called sequent combinators. Sequent combinators address many of the problems of Hilbert systems, which have led to the m...
Healfdene Goguen, Jean Goubault-Larrecq
APAL
2010
98views more  APAL 2010»
13 years 9 months ago
Classical proof forestry
Classical proof forests are a proof formalism for first-order classical logic based on Herbrand's Theorem and backtracking games in the style of Coquand. First described by M...
Willem Heijltjes
CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 9 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
JLP
2008
81views more  JLP 2008»
13 years 9 months ago
Cut-free sequent systems for temporal logic
Currently known sequent systems for temporal logics such as linear time temporal logic and computation tree logic either rely on a cut rule, an invariant rule, or an infinitary ru...
Kai Brünnler, Martin Lange
TABLEAUX
1995
Springer
14 years 1 months ago
A Connection Based Proof Method for Intuitionistic Logic
We present a proof method for intuitionistic logic based on Wallen’s matrix characterization. Our approach combines the connection calculus and the sequent calculus. The search t...
Jens Otten