The difficulty in the halting problem lies in the requirement that the decision procedure must work for all programs and inputs.
12.
The enhanced completion without failure will not fail on unorientable equations and provides a semi-decision procedure for the word problem.
13.
Current implementations of decision procedures for the theory of real closed fields are often based on quantifier elimination by cylindrical algebraic decomposition.
14.
It is not just that we do not have a decision procedure for the predicate-there is absolutely no predicate at all.
15.
On the other hand, a triply exponential upper bound on a decision procedure for Presburger Arithmetic was proved by Oppen ( 1978 ).
16.
The preferences are analyzed by a decision procedure, which selects the preferred operator and installs it as the current operator in working memory.
17.
This imagined choice justifies these principles as the principles of justice for us, because we would agree to them in a fair decision procedure.
18.
Standard decision procedures are not well-specified enough ( e . g ., with regard to counterfactuals ) to be instantiated as algorithms.
19.
The most important point for me in cases like this is that the decision procedure that was used is opaque / hidden from other editors.
20.
This model is often generated automatically from high level descriptions of the system under study, then compared against the system properties using various decision procedures.
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