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» Substitutions into propositional tautologies
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CSL
2010
Springer
15 years 6 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»
15 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
ICLP
2007
Springer
15 years 11 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»
15 years 18 days 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»
15 years 5 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...