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FSTTCS
2010
Springer
13 years 9 months ago
First-Order Logic with Reachability Predicates on Infinite Systems
This paper focuses on first-order logic (FO) extended by reachability predicates such that the expressiveness and hence decidability properties lie between FO and monadic second-o...
Stefan Schulz
ICALP
2000
Springer
14 years 2 months ago
Decidable First-Order Transition Logics for PA-Processes
We show the decidability of model checking PA-processes against several first-order logics based upon the reachability predicate. The main tool for this result is the recognizabil...
Denis Lugiez, Ph. Schnoebelen
LICS
1999
IEEE
14 years 3 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis
FROCOS
2000
Springer
14 years 2 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
CORR
2007
Springer
147views Education» more  CORR 2007»
13 years 11 months ago
Model Checking Synchronized Products of Infinite Transition Systems
Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic...
Stefan Wöhrle, Wolfgang Thomas