decidable

de·cide  (d-sd)

v. de·cid·ed, de·cid·ing, de·cides

v.tr.

1.

a. To settle conclusively all contention or uncertainty about: decide a case; decided the dispute in favor of the workers.

b. To make up one's mind about: decide what to do.

2. To influence or determine the outcome of: A few votes decided the election.

3. To cause to make or reach a decision.

v.intr.

1. To pronounce a judgment; announce a verdict.

2. To make up one's mind.

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[Middle English deciden, from Old French decider, from Latin dcdere, to cut off, decide : d-, de- + caedere, to cut; see ka-id- in Indo-European roots.]

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de·cid·a·bili·ty n.

de·cida·ble adj.

de·cider n.

Synonyms: decide, determine, settle, rule, conclude, resolve
These verbs mean to come to a decision. Decide is the least specific: "If two laws conflict with each other, the courts must decide on the operation of each" (John Marshall).
Determine often involves somewhat narrower issues: A jury will determine the verdict.
Settle stresses finality of decision: "The lama waved a hand to show that the matter was finally settled in his mind" (Rudyard Kipling).
Rule implies that the decision is handed down by someone in authority: The committee ruled that changes in the curriculum should be implemented.
Conclude suggests that a decision, opinion, or judgment has been arrived at after careful consideration: She concluded that the criticism was unjust.
Resolve stresses the exercise of choice in making a firm decision: I resolved to lose weight.

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decidable [dɪˈsaɪdəb^əl]

adj

1. (Philosophy / Logic) able to be decided

2. (Philosophy / Logic) Logic (of a formal theory) having the property that it is possible by a mechanistic procedure to determine whether or not any well-formed formula is a theorem