decidability

Then the definitions of decidability above can be directly applied.

Decidability: there is a decision procedure to test any statement in the theory.

The decidability is still an open question, but there are results on restriction of those circuits.

Many formal theories have been studied in the context of decidability.

There are several basic results about decidability of theories.

More informally, such problems cannot be solved in general by computers; see decidability.

He was a mathematician noted for his work on the decidability of various algebraic groups.

The concept of decidability may be extended to other models of computation.

The concept of algorithm is also used to define the notion of decidability.

The question of decidability is still unresolved.

Decidability: there should be an algorithm for deciding the truth or falsity of any mathematical statement.

Decidability theory is a branch of mathematics.

Remarkably, decidability of admissibility in the basic modal logic K is a major open problem.

A property of a theory or logical system weaker than decidability is semidecidability.

Decidability should not be confused with completeness.

If there is such an algorithm, then decidability for the theory reduces to deciding the truth of the quantifier-free sentences.

Wang tiles have been extensively used in cellular automata theory decidability proofs; see for example.

Decidability (logic) - for the problem of deciding whether a formula is a consequence of a logical theory.

In general, there is a compromise to be made between the precision of the analysis and its decidability (computability), or tractability (complexity).

Methods used to establish decidability include quantifier elimination, model completeness, and Vaught's test.

This seminar, in essence, started a new and extremely fruitful school in model theory and decidability of elementary theories.

A simplified decidability proof.

This is equivalent to the decidability of real closed fields, of which elementary Euclidean geometry is a model.

Decidability and the Finite Model Property.

However, in general proof of decidability is undecidable, so many programs require hand-written annotations, which may be very non-trivial.