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CSR
2009
Springer
13 years 8 months ago
Characterizing the Existence of Optimal Proof Systems and Complete Sets for Promise Classes
In this paper we investigate the following two questions: Q1: Do there exist optimal proof systems for a given language L? Q2: Do there exist complete problems for a given promise ...
Olaf Beyersdorff, Zenon Sadowski
TLCA
2009
Springer
13 years 12 months 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
LATIN
2004
Springer
13 years 10 months ago
A Proof System and a Decision Procedure for Equality Logic
Equality logic with or without uninterpreted functions is used for proving the equivalence or refinement between systems (hardware verification, compiler’s translation, etc). C...
Olga Tveretina, Hans Zantema
CORR
2010
Springer
158views Education» more  CORR 2010»
13 years 5 months ago
A Minimal Propositional Type Theory
Propositional type theory, first studied by Henkin, is the restriction of simple type theory to a single base type that is interpreted as the set of the two truth values. We show ...
Mark Kaminski, Gert Smolka
LOGCOM
1998
122views more  LOGCOM 1998»
13 years 5 months ago
Adding the Everywhere Operator to Propositional Logic
Sound and complete modal propositional logic C is presented, in which 2P has the interpretation “ P is true in all states”. The interpretation is already known as the Carnapia...
David Gries, Fred B. Schneider