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» Substitutions into propositional tautologies
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CSL
2010
Springer
13 years 8 months ago
On Slicewise Monotone Parameterized Problems and Optimal Proof Systems for TAUT
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
Yijia Chen, Jörg Flum
LOGCOM
1998
122views more  LOGCOM 1998»
13 years 6 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
ICLP
2007
Springer
14 years 1 months ago
Minimal Logic Programs
aa We consider the problem of obtaining a minimal logic program strongly equivalent (under the stable models semantics) to a given arbitrary propositional theory. We propose a meth...
Pedro Cabalar, David Pearce, Agustín Valver...
AML
2011
204views Mathematics» more  AML 2011»
13 years 2 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
ENTCS
2007
70views more  ENTCS 2007»
13 years 7 months ago
Component Substitutability via Equivalencies of Component-Interaction Automata
We provide a new look at formal aspects of component substitutability (replacement of a component with a new one) and independent implementability (reuse of a component in any sys...
Ivana Cerná, Pavlína Vareková...