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» The road to two theorems of logic
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TLCA
2009
Springer
14 years 18 days ago
On the Meaning of Logical Completeness
G¨odel’s completeness theorem is concerned with provability, while Girard’s theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proo...
Michele Basaldella, Kazushige Terui
IPL
2008
102views more  IPL 2008»
13 years 6 months ago
The connection between two ways of reasoning about partial functions
Undefined terms involving the application of partial functions and operators are common in program specifications and in discharging proof obligations that arise in design. One wa...
John S. Fitzgerald, Cliff B. Jones
ENTCS
2010
130views more  ENTCS 2010»
13 years 3 months ago
Structural Operational Semantics and Modal Logic, Revisited
A previously introduced combination of the bialgebraic approach to structural operational semantics with aic modal logic is re-examined and improved in some aspects. Firstly, a mo...
Bartek Klin
APAL
2010
90views more  APAL 2010»
13 years 6 months ago
Canonical extensions for congruential logics with the deduction theorem
We introduce a new and general notion of canonical extension for algebras in the algebraic counterpart AlgS of any finitary and congruential logic S. This definition is logic-base...
Mai Gehrke, Ramon Jansana, Alessandra Palmigiano
KR
2004
Springer
13 years 11 months ago
Situations, Si! Situation Terms, No!
The situation calculus, as proposed by McCarthy and Hayes, and developed over the last decade by Reiter and co-workers, is reconsidered. A new logical variant is proposed that cap...
Gerhard Lakemeyer, Hector J. Levesque