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» A Systematic Proof Theory for Several Modal Logics
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LPNMR
2005
Springer
15 years 5 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
LICS
1994
IEEE
15 years 3 months ago
A General Semantics for Evaluation Logic
The original semantics of Evaluation Logic in [Mog93] relies on additional properties of strong monads. This paper extends the original semantics by dropping all additional requir...
Eugenio Moggi
ICTL
1994
15 years 3 months ago
Completeness through Flatness in Two-Dimensional Temporal Logic
We introduce a temporal logic TAL and prove that it has several nice features. The formalism is a two-dimensional modal system in the sense that formulas of the language are evalua...
Yde Venema
97
Voted
CSL
2005
Springer
15 years 5 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
APAL
2010
115views more  APAL 2010»
14 years 11 months ago
Kripke semantics for provability logic GLP
A well-known polymodal provability logic GLP is complete w.r.t. the arithmetical semantics where modalities correspond to reflection principles of restricted logical complexity in...
Lev D. Beklemishev