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a tool that translates formulas to finite-state automata.

MONA is a tool that translates formulas to finite-state automata. The formulas may express search patterns, temporal properties of reactive systems, parse tree constraints, etc. MONA analyses the automaton resulting from the compilation and prints out "valid" or a counter-example. MONA implements decision procedures for the Weak Second-order Theory of One or Two successors (WS1S/WS2S). The theory of one successor, known as WS1S, is a fragment of arithmetic augmented with second-order quantification over finite sets of natural numbers. Its first-order terms denote just natural numbers. The theory has no addition, since that would make it undecidable, but it has a unary operation +1, known as the successor function. WS2S is a generalization to tree structures. Since the theories are monadic second-order logics, we call our tool MONA.



version 1.4-17 (stable)
released on 25 March 2016

User level





Verified by

Verified on


Verified by

Kelly Hopkins

Verified on

29 January 2009

Verified by

Kelly Hopkins

Verified on

29 January 2009

Leaders and contributors

Anders Moeller Maintainer
Nils Klarlund Maintainer

Resources and communication

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Software prerequisites

This entry (in part or in whole) was last reviewed on 1 March 2017.


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