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MSCS
2000
126views more  MSCS 2000»
13 years 4 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
LOGCOM
2010
136views more  LOGCOM 2010»
13 years 3 months ago
Combining Derivations and Refutations for Cut-free Completeness in Bi-intuitionistic Logic
Bi-intuitionistic logic is the union of intuitionistic and dual intuitionistic logic, and was introduced by Rauszer as a Hilbert calculus with algebraic and Kripke semantics. But ...
Rajeev Goré, Linda Postniece
TABLEAUX
2009
Springer
13 years 11 months ago
Modular Sequent Systems for Modal Logic
We see cut-free sequent systems for the basic normal modal logics formed by any combination the axioms d, t, b, 4, 5. These systems are modular in the sense that each axiom has a c...
Kai Brünnler, Lutz Straßburger
ENTCS
2002
129views more  ENTCS 2002»
13 years 4 months ago
Eliminating Proofs from Programs
This paper presents a step in the development of an operational approach to program extraction in type theory. In order to get a program from a lambda term, the logical parts need...
Femke van Raamsdonk, Paula Severi
AIML
2004
13 years 6 months ago
A Systematic Proof Theory for Several Modal Logics
The family of normal propositional modal logic systems are given a highly systematic organisation by their model theory. This model theory is generally given using Kripkean frame s...
Charles Stewart, Phiniki Stouppa