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» A Theory of Restrictions for Logics and Automata
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IANDC
2007
133views more  IANDC 2007»
13 years 8 months ago
On decidability of monadic logic of order over the naturals extended by monadic predicates
A fundamental result of Büchi states that the set of monadic second-order formulas true in the structure (Nat, <) is decidable. A natural question is: what monadic predicates ...
Alexander Rabinovich
LATA
2009
Springer
14 years 3 months ago
Tiling the Plane with a Fixed Number of Polyominoes
Deciding whether a finite set of polyominoes tiles the plane is undecidable by reduction from the Domino problem. In this paper, we prove that the problem remains undecidable if t...
Nicolas Ollinger
CORR
2007
Springer
79views Education» more  CORR 2007»
13 years 8 months ago
Logic Meets Algebra: the Case of Regular Languages
The study of finite automata and regular languages is a privileged meeting point of algebra and logic. Since the work of Büchi, regular languages have been classified according ...
Pascal Tesson, Denis Thérien
LATA
2009
Springer
14 years 3 months ago
Membership Testing: Removing Extra Stacks from Multi-stack Pushdown Automata
We show that fixed membership testing for many interesting subclasses of multi-pushdown machines is no harder than for pushdowns with single stack. The models we consider are MVPA...
Nutan Limaye, Meena Mahajan
TCS
2008
13 years 8 months ago
Verification of qualitative Z constraints
We introduce an LTL-like logic with atomic formulae built over a constraint language interpreting variables in Z. The constraint language includes periodicity constraints, comparis...
Stéphane Demri, Régis Gascon