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APAL
2007
119views more  APAL 2007»
13 years 4 months ago
An algebraic approach to subframe logics. Intuitionistic case
We develop duality between nuclei on Heyting algebras and certain binary relations on Heyting spaces. We show that these binary relations are in 1–1 correspondence with subframe...
Guram Bezhanishvili, Silvio Ghilardi
IGPL
2011
12 years 8 months ago
Generalized ordinal sums and translations
We extend the lattice embedding of the axiomatic extensions of the positive fragment of intuitionistic logic into the axiomatic extensions of intuitionistic logic to the setting of...
Nikolaos Galatos
CORR
2011
Springer
151views Education» more  CORR 2011»
12 years 8 months ago
A New Representation Theorem for Many-valued Modal Logics
We propose a new definition of the representation theorem for many-valued logics, with modal operators as well, and define the stronger relationship between algebraic models of ...
Zoran Majkic
PADL
2004
Springer
13 years 10 months 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 3 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...