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CSL
2010
Springer
13 years 6 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin
LICS
2006
IEEE
13 years 11 months ago
The Boundedness Problem for Monadic Universal First-Order Logic
We consider the monadic boundedness problem for least fixed points over FO formulae as a decision problem: Given a formula ϕ(X, x), positive in X, decide whether there is a unif...
Martin Otto
CIE
2009
Springer
13 years 11 months ago
Complexity of Existential Positive First-Order Logic
Let Γ be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in Γ is in LOGSPACE...
Manuel Bodirsky, Miki Hermann, Florian Richoux
CORR
2010
Springer
129views Education» more  CORR 2010»
13 years 5 months ago
The complexity of positive first-order logic without equality
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over a fixed, finite structure B. This may be seen as a natural generalisation of ...
Florent R. Madelaine, Barnaby Martin
CADE
2005
Springer
14 years 5 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau